Posted by **Acorn** on Monday, September 1, 2008 at 1:56pm.

A sphere is contained inside of a cube, tangent to all six faces. Find the surface area of the cube as a function of the radius of the sphere.

The answer in the back of the book read:A=24r^2...How did they get this answer? Thanks for helping!

- pre-calculus -
**David Q**, Monday, September 1, 2008 at 2:06pm
Say the radius of the sphere is r. The sphere touches both sides of the cube, so the distance between two faces of the cube is 2r. But that also equals one edge, so one side of the cube has area 2r x 2r = 4rē. But a cube has six such sides...

## Answer This Question

## Related Questions

- math - The side length, d, of a cube that contains a sphere depends on the ...
- solid mensuration - let a and b be opposite vertices of a unit cube (i.e. , the ...
- Science - One edge of a copper cube is carefully measured and found to be 2.162 ...
- Science - calculate the ratio of the area to the volume for a unit cube a unit ...
- Math - I am doing a project, are my answers correct? 1. Find and simplify the ...
- math: advanced geometry - if the surface area of a sphere equals the surface ...
- Math - A solid sphere just fits inside a cube that has an edge length equal to ...
- Math--Volume and Surface Area - The volume of a cube is 125 cubic inches. Find ...
- geometry - Side of cube=6cm Sphere is placed in cube.Calculate volume of cube....
- Math - I really do not want to fail this project, could anyone please help me ...

More Related Questions