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(2) = 8?

A. A cube with a volume of 2 cubic feet has side lengths of 8 feet.
B. 2 of these cubes will have a total volume of 8 cubic feet.
C. 2 sides of the cube have a total length of 8 feet.
D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.

Answer 1

I believe the correct answer from the choices listed above is option D. The best interpretation of the function given as v(2) = 8 would be that a cube with side lengths of 2 feet has a volume of 8 cubic feet. Hope this answers the question. Have a nice day.

Answer 2

Let

s--------> the length side of the cube

we know that

the volume of the cube is equal to

$V(s)= s^{3}$

if the length side s is equal to $2\ feet$

then

$s=2\ feet$

and the volume is equal to

$V(2)= 2^{3}$

$V(2)= 8\ feet^{3}$

therefore

the answer is the option

D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.