Question

The volume of a cube depends on the length of its sides.This can be written in function as v(s).What is the best interpretation of v(4)=64

A)A cube with a volume of 4 cubic feet has side lengths of 64 feet
B)4 sides of the cube have a total length of 64 feet
C)4 of these cubes will have total volume of 64 cubic feet
D)A cube with side lenghts of 64 feet has a volume of 64 cubic feet

Answer 1

Explanation:

We know that,

Volume of cube = (side)^3

Fro side length s , we can write:

V(s) = s^3 , where volume is the function of s.

Now ,

We have given : v(4) = 64

If we compare this with v(s) = s^3

Then we get s =4 , i.e side length of cube is 4

Also 64 = 4^3 , i.e volume of cube is 64.

So we can interpret this as: A cube with side lengths of 4 feet has a volume of 64 cubic feet