Question

1. Write all answers in decimal form if it is a fraction.

a. A cube's volume is 512 cubic units. What is the length of its edge?
b. If a sphere fits snugly inside this cube, what is its volume?
c. What fraction of the cube is taken up by the sphere (use 3.14 for an approximation of ; use 2 decimal places? What percentage is this?

Answer 1

a)

`\sqrt[3]{512} = 8`

b)

`(4)/(3) \pi ({4}^(3) ) = (256\pi)/(3) = 268.08`

c)

`(256\pi)/(3(512)) = (\pi)/(6) = .52`

`(3.14)/(6) = .52`