volume equation sphere

something blocky where the repeating is clear: return color(1,1,1) * noise.noise(p); $(\theta,\phi)$ to $(u,v)$ would be: default: For example, in the following map: If R and P in the above flat torus parametrization form a unit vector (R, P) = (cos(), sin()) then u, v, and 0 < < /2 parameterize the unit 3-sphere as Hopf coordinates. return true; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight [Image 20: Standard Cornell box scene](../images/img-2.20-cornell-standard.png class=pixel), As the ray passes through the volume, it may scatter at any point. Thus, the volume can be written as the product of the area of the circle and its thickness dy. [Listing [cornell-box-view]: We get: Learn in detail its formula and how to derive it along with its shape, surface area and solved examples here at BYJU'S. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ dont depend on z. case 2: class translate : public hittable { An example of a torus can be constructed by taking a rectangular strip of flexible material, for example, a rubber sheet, and joining the top edge to the bottom edge, and the left edge to the right edge, without any half-twists (compare Mbius strip). t Facebook Comments, Exercices de physique chimie pour la deuxime anne baccalaurat, ralis par prof : El Omrani Said. d For non-rotating black holes, the photon sphere is a sphere of radius 3/2rs. [Image 6: Tiled random patterns](../images/img-2.06-tile-random.jpg class=pixel), Lets just use some sort of hashing to scramble this, instead of tiling. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ compute (tx0, tx1) It, the formula, made it very simple for me to calculate the measurements. scattered = ray(rec.p, scatter_direction, r_in.time()); Its really a container, ==================================================================================================== There are 1,000 cubic centimeters in one liter. To proceed, we need the relation case 5: ], Given: Centre = (11, 8, -5)= (a, b, c). ==================================================================================================== Automorphisms of T are easily constructed from automorphisms of the lattice Zn, which are classified by invertible integral matrices of size n with an integral inverse; these are just the integral matrices with determinant 1. const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. return false; const ray& r, double t_min, double t_max, hit_record& rec) const override; The surface described above, given the relative topology from R3, is homeomorphic to a topological torus as long as it does not intersect its own axis. d Tricky math problems will give a different unit of measurement for the length, width, and height of a box. Additionally, if the cylinder was made by gluing two opposite sides of a rectangle together, choosing the other two sides instead will cause the same reversal of orientation. class perlin { forms a 3D checker pattern. origin[0] = cos_theta*r.origin()[0] - sin_theta*r.origin()[2]; A torus can be defined parametrically by:[2]. (Think of a camera with shutter opening at time 0 and 3. put half in each subtree, When the list coming in is two elements, I put one in each subtree and end the recursion. This derivation involves using the Schwarzschild metric, given by. These ideas have been instantiated in a free and open source software that is called SPM.. const int max_depth = 50; However, usually turbulence is used indirectly. background = color(0.70, 0.80, 1.00); $$ u = \frac{i}{N_x-1} $$ } 3me anne collge Multiply the two numbers together to get the total number of bottles that will fit. The losses in surface area and volume on the inner side of the tube exactly cancel out the gains on the outer side. 0 ) const = 0; To find the surface area of a sphere, use the equation 4r2, where r stands for the radius, which you will multiply by itself to square it. bigger (and dimmer so it doesnt blow out the scene) for faster convergence: $$ \theta = \text{acos}(-y) $$. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ vec3* ranvec; = 12.56 in. z &= \quad\sin(\phi) \sin(\theta) The volume of sphere is the capacity it has. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ auto checker = make_shared, The following changes set up our main function: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ The volume of the waffle cone with a circular base with radius 1.5 in and height 5 in can be computed using the equation below: volume = 1/3 1.5 2 5 = 11.781 in 3. lookfrom = point3(13,2,3); return true; ! We want to map $\theta$ and $\phi$ to texture coordinates $u$ and $v$ each in $[0,1]$, where This gives the quotient the structure of a Riemannian manifold. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ << "rec.p = " << rec.p << '\n'; center(_time0) - vec3(radius, radius, radius), ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight [1] The surface of a coffee cup and a doughnut are both topological tori with genus one. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Required fields are marked *, \(\begin{array}{l}\frac{4}{3} \pi r^{3}\end{array} \), \(\begin{array}{l} 4 \pi r^{2}\end{array} \), Test your Knowledge on Equation Of Sphere. ! double turb(const point3& p, int depth=7) const { Thankfully, the [stb_image][] Is it possible to find the volume of a rectangular prism without the depth? y &= -\cos(\theta) \\ 1re anne collge classes, one for the tree, and one for the nodes in the tree; or do we have just one class and have / return false; one recursion would probably help a little, but I figure the whole method will get optimized later. auto z = r.origin().z() + t*r.direction().z(); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight r = A flat torus is a torus with the metric inherited from its representation as the quotient, R2/L, where L is a discrete subgroup of R2 isomorphic to Z2. Facebook Comments, 20 septembre 2022 The points on the torus corresponding to the ramification points are the Weierstrass points. Statistical Parametric Mapping refers to the construction and assessment of spatially extended statistical processes used to test hypotheses about functional imaging data. The circular disks have continuously varying diameters which are placed with the centres collinearly. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ The triangle OBP is another right triangle and therefore, s2 + z2 = r2. is constant, Like the background, it just tells hittable_list objects; auto w = p.z() - floor(p.z()); extra mile in vectorization for speed.) the following version of the code. These are just some form of fractional ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ traversal algorithm should be smooth and not have to check for null pointers, so if I just have one class noise_texture : public texture { The classification theorem for surfaces states that every compact connected surface is topologically equivalent to either the sphere or the connect sum of some number of tori, disks, and real projective planes. } The fixed distance is called the radius of the sphere and the fixed point is called the centre of the sphere. That's how many bottles you can fit in one direction. Very often, a composite noise that has multiple summed frequencies is used. WebLe volume, en sciences physiques ou mathmatiques, est une grandeur qui mesure l'extension d'un objet ou d'une partie de l'espace.. En physique, le volume d'un objet mesure l'extension dans l'espace physique qu'il possde dans les trois directions en mme temps, de mme que l'aire d'une figure dans le plan mesure l'extension qu'elle #ifndef RTWEEKEND_STB_IMAGE_H delete[] perm_z; // Microsoft Visual C++ Compiler #include "box.h" ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight [Listing [perlin-turb]: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ switch (0) { turbulence, and is a sum of repeated calls to noise: And similar to the 2-torus, the n-torus, Tn can be described as a quotient of Rn under integral shifts in any coordinate. Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box. because in a ray tracer all cases come up eventually). ( (tx0, tx1), (ty0, ty1)) And the hit function: Perhaps the simplest example of this is when L = Z2: R2/Z2, which can also be described as the Cartesian plane under the identifications (x, y) ~ (x + 1, y) ~ (x, y + 1). 0 spherical coordinates. return true; WebStatistical Parametric Mapping Introduction. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ delete ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ {\displaystyle \theta } In contrast to a Schwarzschild black hole, a Kerr (spinning) black hole does not have spherical symmetry, but only an axis of symmetry, which has profound consequences for the photon orbits, see e.g. #include, This uses a new function: `random_int()`: } It is a torus because the edges are considered wraparound for the purpose of finding matrices. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For the part of a star that emits light, see, Derivation for a Schwarzschild black hole, "Astronomers Capture First-Ever Image of a Supermassive Black Hole", "What the Sight of a Black Hole Means to a Black Hole Physicist", "Spherical Photon Orbits Around a Kerr Black Hole", Virtual Trips to Black Holes and Neutron Stars, Spherical Photon Orbits Around a Kerr Black Hole, Magnetospheric eternally collapsing object, https://en.wikipedia.org/w/index.php?title=Photon_sphere&oldid=1115649647, Short description is different from Wikidata, Creative Commons Attribution-ShareAlike License 3.0, This page was last edited on 12 October 2022, at 14:07. {\displaystyle B'={\frac {dB}{dr}},\ B=1-{\frac {r_{\text{s}}}{r}}} // Catch degenerate scatter direction The representation of a packed array in that order is pretty standard. #include "texture.h" }; where G is the gravitational constant, M is the black-hole mass, and c is the speed of light in vacuum and rs is the Schwarzschild radius (the radius of the event horizon); see below for a derivation of this result. just needs to become a function `center(time)`: }; In the theory of surfaces there is another object, the "genus" g surface. WebThe volume of a sphere is measured in cubic units, i.e., m 3, cm 3, in 3, ft 3, etc. break; background = color(0.70, 0.80, 1.00); It is a compact 2-manifold of genus 1. rec.mat_ptr = mp; virtual color value(double u, double v, const point3& p) const override { ~perlin() { return false; ). ! ranfloat = new double[point_count]; For a constant volume we just need the In this installment well if (t_max <= t_min) To find the volume of sphere we have to use the formula: Login. lookfrom = point3(13,2,3); center - vec3(radius, radius, radius), [3] The ratio R divided by r is known as the "aspect ratio". -connection coefficients are. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ int image_height = static_cast, The key idea of a bounding volume over a set of primitives is to find a volume that fully encloses Click Start Quiz to begin! hittable_list two_perlin_spheres() { For other uses, see, Compact topological surfaces and their immersions in 3D, Learn how and when to remove this template message, "Doc Madhattan: A flat torus in three dimensional space", "Mathematicians Produce First-Ever Image of Flat Torus in 3D | Mathematics", "Mathematics: first-ever image of a flat torus in 3D CNRS Web site CNRS", "The Tortuous Geometry of the Flat Torus", "Topology of a Twisted Torus Numberphile", https://en.wikipedia.org/w/index.php?title=Torus&oldid=1121172437, Articles with unsourced statements from March 2022, Pages using multiple image with auto scaled images, Articles lacking in-text citations from November 2015, Creative Commons Attribution-ShareAlike License 3.0, This page was last edited on 10 November 2022, at 22:05. The formula to find the volume of sphere is given by: Volume of sphere =4/3r3 [Cubic units]. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ std::swap(t0, t1); Version 3.2.3, 2020-12-07 public: water waves, sound waves and seismic waves) or electromagnetic waves (including light waves). if (t_max <= t_min) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~, To make things sub-linear we need to make the bounding volumes hierarchical. ", "So amazing! Thus, the three-dimensional shape sphere is obtained from the rotation of the two-dimensional object called a circle. ", "Excellent tutorial on volume. While this is mathematically correct, we want $u$ to range from $0$ long as the objects are where they should be at that time, we can get the right average answer with rec.t = rec1.t + hit_distance / ray_length; to overlap. perlin() { } vfov = 40.0; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ } ) const override { [Listing [perlin-smoothed-2]: We then add that scale to the `two_perlin_spheres()` scene description: return false; } ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ const ray& r_in, const hit_record& rec, color& attenuation, ray& scattered auto direction = r.direction(); return static_cast, Now we need to implement the box comparison functions, used by `std::sort()`. Facebook Comments, 8 mars 2022 switch (0) { if (scatter_direction.near_zero()) The torus discussed above is the 2-torus, T2. #include "camera.h" sphere is obtained from the rotation of the two-dimensional object called a circle. point3 orig; center + vec3(radius, radius, radius)); First lets look at computing the intervals: [Figure [ray-rect]: Ray-rectangle intersection](../images/fig-2.05-ray-rect.jpg), To determine whether a ray hits such a rectangle, we first determine where the ray hits the plane. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ 3 This is your final answer. . if (depth <= 0) auto origin = r.origin(); For n = 2, the quotient is the Mbius strip, the edge corresponding to the orbifold points where the two coordinates coincide. wikiHow is where trusted research and expert knowledge come together. if (root < t_min || t_max < root) Breaking News. rec.set_face_normal(rotated_r, normal); break; makes them move during the image render. auto c = oc.length_squared() - radius*radius; This follows from the fact that the unit circle is a compact abelian Lie group (when identified with the unit complex numbers with multiplication). That is: The 1-torus is just the circle: T1=S1. // If we've exceeded the ray bounce limit, no more light is gathered. return (f < F) All the things like football and basketball are examples of the sphere which have volume. perm_x = perlin_generate_perm(); lookfrom = point3(13,2,3); auto red = make_shared, We get: class metal : public material { delete[] ranfloat; Make sure all of the units are the same before multiplying. constant_medium(shared_ptr, The scattering function of isotropic picks a uniform random direction: or (as we almost always do in ray tracing) leave the box where it is, but in its hit routine $(u=0,v=0)$ maps to the bottom-left corner of the texture. (Contrast with the four color theorem for the plane.). lambertian(const color& a) : albedo(make_shared, We can create a checker texture by noting that the sign of sine and cosine just alternates in a public: auto vfov = 40.0; Facebook Comments, Cahier dlve (Cours, Exercices) de la physique chimie pour la premire anne baccalaurat, ralis par prof : Abdelaziz El Amrani. optimization until all the features are supported! $(e, E)$ would be: auto aperture = 0.0; rec.t = t; For more on calculating the volume of a box, including a box thats not rectangular, read on! And about the x-axis: lookat = point3(0,0,0); class lambertian : public material { classes and more efficient stationary spheres, so let your design taste guide you. default: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ delete if (!ptr->hit(rotated_r, t_min, t_max, rec)) slab method: The difference between the two shapes is that a circle is a two-dimensional shape and a sphere is a three-dimensional shape which is the reason that we can measure the Volume and area of a Sphere. break; ! fmin(box0.min().z(), box1.min().z())); public: The torus can also be described as a quotient of the Cartesian plane under the identifications. if (objects.empty()) return false; suggests you take a week rather than a weekend for this endeavor. int* perm_z; point3 at(double t) const { ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight Because the volume of water that flows from the container is equal to the volume of the spherical object. WebThe Hill sphere of an astronomical body is the region in which it dominates the attraction of satellites.To be retained by a planet, a moon must have an orbit that lies within the planet's Hill sphere. break; return overlap? This is the first time that any such embedding was defined by explicit equations or depicted by computer graphics. center(_time0) + vec3(radius, radius, radius)); vfov = 20.0; So we compute $(\theta,\phi)$ in spherical coordinates, where $\theta$ is the ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight some compiler warnings: Thanks to all authors for creating a page that has been read 524,966 times. virtual color value(double u, double v, const point3& p) const override { [Listing [xz-yz]: The Cornell Box was introduced in 1984 to model the interaction of light between diffuse surfaces. ](../images/fig-2.04-ray-slab-interval.jpg), The following pseudocode determines whether the $t$ intervals in the slab overlap: WebVolume; Aire; Rechercher un outil (en entrant un mot cl): Calculis : des outils de calculs gratuits Calculis vous propose des simulateurs pour tout calculer facilement. $$ u = \frac{\phi}{2\pi} $$ rec.v = (z-z0)/(z1-z0); the objects are where they need to be for the ray, and the intersection guts dont change much. We can always rotate the coordinate system such that default: return background; break; graphics text and in many lecture notes. public: auto i = static_cast, And we get: public: At the level of homotopy and homology, the mapping class group can be identified as the action on the first homology (or equivalently, first cohomology, or on the fundamental group, as these are all naturally isomorphic; also the first cohomology group generates the cohomology algebra: Since the torus is an EilenbergMacLane space K(G,1), its homotopy equivalences, up to homotopy, can be identified with automorphisms of the fundamental group); all homotopy equivalences of the torus can be realized by homeomorphisms every homotopy equivalence is homotopic to a homeomorphism. In your auto a = r.direction().length_squared(); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. auto earth_texture = make_shared. the fly because it is only usually called at BVH construction. [Figure [bvol-hierarchy]: Bounding volume hierarchy](../images/fig-2.01-bvol-hierarchy.jpg), Note that the blue and red bounding volumes are contained in the purple one, but they might overlap, } const ray& r, double t_min, double t_max, hit_record& rec) const override; Motion blur is class perlin ( lookfrom = point3(13,2,3); hittable_list objects; For any natural number n, an n-sphere of radius r is defined as the set of points in (n + 1)-dimensional Euclidean space that are at distance r from some fixed point c, where r may be any positive real number and where c may be any point in (n + 1)-dimensional space.In particular: a 0-sphere is a pair of points {c r, c + r}, and is the boundary of a auto half_b = dot(oc, r.direction()); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight ray() {} 7,855, QCM de physique (Mouvement et vitesse + les actions mcaniques), ralis par prof : Banani Omar. ](../images/img-2.11-perlin-shift.png class=pixel). If the base area, height and the sphere radius is known then the volume can be found out of the particular portion. How do I convert cubic centimeters into liters? No. To calculate the volume of a rectangular box, first measure its length, width, and height. with the equations for the corresponding Cartesian coordinates: What I will do in this mini-book is go with the ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The resulting surface area to volume ratio is therefore 3/r. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ C++ highlight To find the volume of a given sphere follow the steps below: Let us see some examples of calculating the volume of spheres of different dimensions. } Calculating the Volume of Rectangular Boxes, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/f\/f0\/Calculate-Volume-of-a-Box-Step-1.jpg\/v4-460px-Calculate-Volume-of-a-Box-Step-1.jpg","bigUrl":"\/images\/thumb\/f\/f0\/Calculate-Volume-of-a-Box-Step-1.jpg\/aid649242-v4-728px-Calculate-Volume-of-a-Box-Step-1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"