a larger cube has a volume of 64. The side of a smaller cube is 1/4 that of the larger cube what is the volume of the smaller cube?

Question

anonymous · Answer

Gosh i need help someone please answer.

anonymous · Answer

Volume:$$V=length*width*height$$
For a cube, all the side lengths are the same, so plug in "s" for the length, width, and height:
$$V_{large}=s_{large}*s_{large}*s_{large}=s_{large}^3=64$$
Solve for the large s:
$$s _{large}=\sqrt[3]{64}=4$$
If the side of the smaller cube is 1/4 that of the larger, you have:
$$s_{large}=4s_{small}$$
We know the large s is 4, so plugging it in:$$4=4s _{small}$$
Therefore:
$$s _{small}=1$$
Plug the small s into the volume equation:$$V _{small}=s _{small}^{3}=(1)^3=1$$

anonymous · Answer

Thank you soooo much Chris.

anonymous · Answer

Wait... i'm looking for volume not surface area.