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(3) = 27?

A. A cube with a volume of 3 cubic feet has side lengths of 27 feet.
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.

Respuesta :

I think the correct answer from the choices listed above is option B. The best interpretation of the function given as v(3) = 27 would be a cube with side lengths of 3 feet has a volume of 27 cubic feet. Hope this answers the question. Have a nice day.

we know that

The volume of a cube is equal to

[tex]V(s)=s^{3}[/tex]

where

s is the length side of the cube

In this problem we have

[tex]s= 3\ ft[/tex]

The volume is equal to

[tex]V(3)=3^{3}=27\ ft^{3}[/tex]

therefore

the answer is the option B

A cube with side lengths of 3 feet has a volume of 27 cubic feet