Cube Definition and 610 Threads

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.
The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations.
The cube is dual to the octahedron. It has cubical or octahedral symmetry.
The cube is the only convex polyhedron whose faces are all squares.

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  1. A

    Using a cube as a Gaussian surface

    Homework Statement Suppose there is a uniformly charged cube with known side length. I then imagine a larger, closed cube surface surrounding it. This larger cube has double the side length and is symmetrical to the smaller cube. Is is practical to use this Gaussian surface to compute the...
  2. N

    Weired Ice Cube - How'd it happen?

    been an ice cube maker for many years now :-p and have never seen this happen before. I imagine air was trapped water was starting to freeze and forced the air out at the same time as freezing, but all seems pretty coincidental for two cubes to do this. Anyone know how this happened...
  3. O

    Can a Flatlander See More Than 2 Sides of a Cube at Once?

    Hey everyone! I have the following question for you guys to settle an argument: If you were an inhabitant of Flatland and a cube decided to visit you like the sphere did, would you be able to see more than 2 sides at a time? My answer is no because Mr. Cube could appear as a point, a square...
  4. MarneMath

    Can the Rubik's Cube be solved with a specific color pattern?

    My friend has been working on mastering the Rubik's cube lately. He can solve it now and make new designs. One day he asked me for a pattern so, I told him I wanted the red center piece enclosed by the green cubes, and the green center piece enclosed by the red cubes. I think this is...
  5. S

    AP PHYSICS ~ FLUIDS ~ A cube of osmium with a volume of

    A cube of osmium with a volume of 166 cm³ is placed in fresh water. The cube's apparent weight is 35.0 N. What is the density of osmium?This is what I did: I converted force to mass by : 35 N / 9.8 = 3.57 kg then changed the 166 cm³ to m³ which is : .000166 m³ After that i divided the mass...
  6. M

    Help designing analog filter designs for an audio activated 8x8x8 LED cube

    I am working on designing a music visualization system using LEDs. I would like to create an analog design that uses op amps to filter, amplify, and add DC bias to an audio signal so it can be read into the A/D of a 5V microprocessor. The input signal is a +/- 1.5V volt audio signal coming from...
  7. L

    Spacetime line element to describe an expanding cube

    Hi, I have to write a spacetime line element for the shape of a cube of cosmological dimensions. This cube is expanding like this: i)With time, the cube becomes elongated along the z-axis, and the square x-y shape doesn't change. ii)The line element must be spatially homogeneus. (I don't...
  8. K

    Finding the specific latent heat of fusion of an ice cube

    Homework Statement We completed a lab with the following information Substance Mass(g) Starting temperature (°C) Final Temperature (°C) Ice cube 15.55 0 12 Water 151.25 21 12 Now...
  9. D

    About the movement of a cube and a sphere on a plane

    A spherical or cylindrical object would roll on a plane. However,object with other shapes(e.g. A cube or a retangular object) would slide on a plane. Why?
  10. P

    Calculating Volume of 12g Carbon Cube

    Hello, If the distance between carbon atoms is given as 3A, will a 12 gr carbon cube have a volume of (6.022E23)*(27E-24)cm^3?
  11. D

    Solving Power Equation: Melting an Ice Cube

    Power Equation?? Homework Statement An ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and that it takes 33200 Joules to melt it. How long does it take for the ice cube to melt? Homework Equations P = W / T The Attempt at a Solution Ok so I...
  12. A

    Multipole expansion of point charge placed inside a cube

    Homework Statement A cube of side a is fi lled with a uniform charge density distribution of total charge Q. A point charge +Q is placed at the center of the cube. Show all odd electrostatic multipole moments vanish. (i.e., 2^l poles with odd l). Show that among the even moments, those...
  13. D

    MHB 3d cube with x,y,z directional vectors

    How can I plot a 3d cube with x,y,z directional vectors going through it? Mathematica or Matlab or Tikz package Latex
  14. H

    Does a cube of aluminum yield in the sea?

    Homework Statement A cube of aluminum is suspended deep in the ocean. Will it yield if it is placed deeper and deeper in the ocean? Homework Equations The Attempt at a Solution I guess that it will yield since the pressure from water will be stronger as it goes deeper...
  15. N

    Electric field intenstity of a cube

    Homework Statement Eight point charges of 1ηC each are located at the corners of a cube in free space that is 1m on a side.Find |E| at the centre of a)the cube b)a face c)an edge. Can someone please help me with the solution of this problem??.. Homework Equations The Attempt at a...
  16. E

    The Electric Flux on all sides of a cube

    Homework Statement Homework Equations \phi = \vec{E} * A * d phi is the electric flux E is the Electric field from vector form A is the area and A = \pir^{2} d is the distance on the axis (x, y, or z) The Attempt at a Solution s1 = s3 = 0 *Since they are along the y-axis...
  17. M

    Moving ball colliding with a side of a cube

    Homework Statement assuming the path of the ball is linear, if the ball collides with the cube, I want to find which side the cube the ball collided with. this is a discreet problem, the ball's position and velocity are always known. the cube's size is bigger than the ball's size in the way...
  18. L

    Finding the cube root of 1 using Euler's formula

    Homework Statement I have found this video where there is this problem: Find the cube root of 1 Homework Equations I have found this video: Where from 8:02 to the end she solves this problem.The Attempt at a Solution My question is why is she making such a big fuss about this? Is the...
  19. P

    The space between a unit 'sphere' in n dimensions within an n-dimensional cube

    If we have a unit circle within a square s.t. the square touches the circle in 4 places then the biggest gap we can find is just √2 - 1. Doing a similar thing with a sphere in a cube we get √3 - 1 I've heard the n-dimensional analogue is √n - 1. Which is crazy as it means the gap is bigger...
  20. N

    Flux through a cube at an angle

    Homework Statement A uniform electric field with a magnitude of 600 N/C is shown pointing in the y-z plane, at 30 degrees from the +y axis and at 60 degrees from the +z axis. This electric field passes through a cube, with each side of length 2.0cm and oriented with faces in the +x, +y, and +z...
  21. C

    Solving equation with cube roots.

    Homework Statement Solve the equation: \sqrt[3]{x+1}+\sqrt[3]{x+2}+\sqrt[3]{x+3}=0 The Attempt at a Solution What I did was move (x+3)^(1/3) to the other side, cube both sides and when I put them equal to 0 again, I managed to factor (x+2)^(1/3) out of it giving one solution x=-2...
  22. S

    Why Doesn't the Water Level Decrease When an Ice Cube Melts?

    Consider a floating ice cube in a glass of water. I know that the weight of the ice cube is equal to the weight of the water displaced. This would mean that if the ice cube melted, the volume of water melted would be less than the volume of the ice cube, because ice has a lower density than...
  23. M

    Point charges of charge Q placed at each corner of a cube of side r

    Imagine a cube with side lengths 'r', (like a dice) and we put point charges of charge Q at each corner of the cube. Issues with 2 subsections of this problem... First: What is the total electrostatic potential energy of the arrangement? Second: Add a charge -CQ to the center of the cube for...
  24. C

    Minimum Distance between surface of sphere and cube

    Homework Statement Find the minimum distance between the surface of a sphere with radius 3 with center (2,1,2) and a cube with length 6 with center (12,11,12) Homework Equations sphere formula: (x-x0)^2+(y-y0)^2+(z-z0)^2=r^2 The Attempt at a Solution Don't know how to attempt this...
  25. M

    Cube with equal charges at all vertices

    If I have a cube with a charge q at each corner, but the problem doesn't say anything about the cube being grounded. Can I assume that the total potential energy will be a linear combination of the individual six sides?
  26. T

    Can Solving Rubik's Cube be Learned?

    Can solving Rubik's Cube be learned? I see people solving the cube in under 30 seconds.You think these people have some inborn talent in spatial rotation recognition that only geniuses possess. If someone were to give me a cube that had to be solved in 24 hours to receive a million dollar...
  27. S

    Resistance Cube: Finding current through each resistor

    Homework Statement The problem and picture are attached in an attachment A cube consisting of identical wires, each of resistance R, is put across a line with voltage V (Fig. 28-44). What is the equivalent resistance of the cube? What is the current in each of the wires? Homework...
  28. P

    What is the flux through one face of the cube? Is my answer correct

    Homework Statement A point charge Q is placed at the center of a cube of side L . What is the flux through one face of the cube? Express your answer in terms of some or all of the variables Q ,L and appropriate constants. The Attempt at a Solution I'm getting Q/6e0 , is this...
  29. S

    Explanation of Ice Cube in water.

    Hi, Could someone please explain what happens when an ice cube is put into a glass of hot water? I'm talking about the phase change and how the water gets cold. Thanks!
  30. B

    Solving A Non Linear System With a Cube

    Homework Statement Find all solutions for the following system: X^2-xy+2y^2=8 X^3-xy^2=0 2. Questions What steps could I take to solve this? I've tried just about everything I can think of. I don't know if I should solve the cubic equation for a variable and plug it in or what. I am...
  31. B

    Understanding the Symmetry of the Resistor Cube Problem

    Homework Statement I am looking at the classic resistor cube problem-the one in which there is a cube with resistors all of the same value on each side. Particularily I am having trouble understanding the symmetry argument for the case in which the current enters and exits across the...
  32. S

    Cube R network resistor calculation

    How does equivalent resistance from D to B is 3/4 R ?
  33. N

    Geometric Optics: Speed of light and Reflection in a glass cube

    Homework Statement A large cube of glass has a metal reflector on one face and water on an adjoining face (the figure). A light beam strikes the reflector, as shown. You observe that as you gradually increase the angle of the light beam, if Theta is greater than 58.7 no light enters the water...
  34. F

    3a, add +b and then cube the entire thing?

    A quick question... what is the resultant expression if you multiply the cubic formula by 3a, add +b and then cube the entire thing? Much appreciated
  35. S

    Ice cube melting, solving for Initial Temp of Ice.

    Homework Statement .019 Kg icecube @ unknown temperature (In deg C) Placed in 200 mL (.2 KG) water at 35 C. After melting, water is at 22.4 C. Find initial temperature of ice using conservation of energy. Homework Equations I've done the math a ton of times and keep getting -60 C...
  36. Gh778

    Rotation of a sphere and cube full with water

    Hi, A sphere and a cube full at 99.99% with water are put in symetrical position to the center C. Sphere at right and cube at left for example. When they turn together at the center C, the centripetal forces are not the same. The cube has not water all around faces, especially the face closed...
  37. J

    How Does an External Charge Affect Flux Through a Cube's Face?

    A charge q is kept at the centre O of cube of length L(ABCDEF). Another charge q is kept at a distacne L from the centre O. Find the flux through face ABCD Well the flux through whole of the cube will remain unchanged that is q/ε. But now since we have another charge q outisde the cube we...
  38. I

    Surface Charge Density of a Neutral Conducting Cube

    Homework Statement There is a region of space containing a uniform electric field of strength E. A neutral conducting cube with side length s is placed into this field. The cube is aligned with the field. You may assume that the electric field outside the cube is unaffected by any changes that...
  39. A

    Calculating Mass of a Unit Cube with a Varying Density

    Homework Statement For a particular material the density varies with position as ρ(r)=x2yz Find the total mass of a unit cube with one edge in the origin made by a such a material.Homework Equations We have dm = ρ(r)dV = ρ(r)dxdydz So we want to calculate the volume integral (all from 0 to 1)...
  40. 9

    How to Determine the Mass of an Ice Cube Using a Calorimeter?

    Homework Statement So we are given an ice cube of unknown mass, and the goal is to determine the mass after putting it in the calorimeter. We know the initial mass of the warm water. Is this the only way to solve the ice mass? I looked it up and the purple font is my values. Please the...
  41. C

    Particle in a Cube: Find Wavefunction w/Initial Conditions

    Homework Statement Problem 13.7.17 in Mathematical Methods in Physical Sciences: Find the wavefunction of a particle in a cube, referring to 13.3.6. 0 < x < L, 0 < y < L, 0 < z < L 13.3.6: Find the wavefunction of a particle in a square 0 < x < L, 0 < y < L. Assume V = 0...
  42. K

    How Does Side Length Influence Electric Flux Through a Cube?

    A point charge 6.50 nC is at the center of a cube with sides of length 0.260 m. PART A: What is the electric flux through the surface of the cube? PART B: What is the electric flux through one of the six faces of the cube? ATTEMPT: A) Total flux enclosed by the cube = Q / eo...
  43. A

    How to Calculate Cube Root Of 24 digit number?

    Hello Friends, I have a question of calculating a cube root of large number like 24 digit number. I calculated by means of Wolfram but I want to try it myself on paper. Is there a method such as Calculus or Algebraic to find the cube root? Thank you. P.S. I want to use the method for...
  44. D

    Integration by substitution of sqrt cos theta.sin cube theta

    Homework Statement To show that \int_{0}^ \frac{\pi}{2}\sqrt{cos\theta}sin^3(\theta) d\theta = 8/21 The Attempt at a Solution The above expression was simplified as \int_{0}^ \frac{\pi}{2}\sqrt{cos\theta}sin^2(\theta) sin(\theta) d\theta \int_{0}^...
  45. N

    Number of atoms in FCC gold cube with only the radius given

    number of atoms in FCC gold cube with only the radius given! 1)it is given that the radius of a gold atom sphere is 144.2 pm, gold is packed in an FCC manner Give the ratio Ns/Nv as a function of L (gold cube side) and a parameter of FCC latice, knowing that Ns is the number of surface...
  46. L

    Finding line segment length between two fartherst corners of a cube.

    Homework Statement The volume of a cube is 8, how long is its main diagonal (the line segment joining the two farthest corners)? Homework Equations Pythagorean theorem The Attempt at a Solution I have no idea how to determine the length of the line segment between the two...
  47. N

    Number of atoms in FCC gold cube

    Hello i need help in this question it is given that the radius of a gold atom sphere is 144.2 pm, gold is packed in an FCC manner Give the ratio Ns/Nv as a function of L (gold cube side) and a parameter of FCC latice, knowing that Ns is the number of surface atoms and Nv is the...
  48. L

    Gaqussian, density cube files and exchange integrals

    Dear all, I need some help with Gaussian. I would like to know if it is possible to make cube file of the density of the single molecular orbital in Gaussian (not just overall or alpha and beta spin density) and if it is possible, wuold you be so kind to tell me how to do that? And also, is...
  49. C

    Possible title: How Does Water Affect the Force on a Metal Cube in a Vessel?

    A metal cube is placed in an empty vessel. When water is filled in the vessel so that the cube is completely immersed in the water, the force on the bottom of the vessel in contact with the cube : Ans: Will remain the same. But how? Won't the force exerted in the second case,i.e when the...
  50. C

    Fluid Mechanics of a metal cube

    A metal cube is placed in an empty vessel. When water is filled in the vessel so that the cube is completely immersed in the water, the force on the bottom of the vessel in contact with the cube : Ans: Will remain the same. But how? Won't object exert an extra force which will be...
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