Question

The volume of a cube depends on the length of its sides. This can be written

in function notation as v(s). What is the best interpretation of v(4)= 64?

A. 4 sides of the cube have a total length of 64 feet.

B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.

C. A cube with a volume of 4 cubic feet has side lengths of 64 feet.

D. 4 of these cubes will have a total volume of 64 cubic feet.
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Answer 1

Answer: B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.

Explanation:

We know that the volume of a cube is the cube of the side-length.

Given : The volume of a cube can be written in function notation as v(s).

The formula to find the volume of cube having sides as 's' will be :-

`\text{V(s)}=s^3`

Then, the expression
`v(4)= 64`, represents that for side =4 units , the volume of cube is 64 cubic units.

Hence for unit = feet , it represents that A cube with side lengths of 4 feet has a volume of 64 cubic feet.