Question

Cube 1 has a volume of b3. The side lengths of cube 2 are twice those of cube 1. what is the volume of cube 2.

A. b3

D. (2b)3

C. 2√b

D. √2b

Answer 1

The volume of a cube is (also known as regular hexahedron) is equal to the length of its edges elevated to the cube (taking into account that in a cube each side and edge has the same size).

In this case we have a first cube (called cube 1) which edges are
`b`, hence its volume is:

`V_(cube1)=b^(3)`

Also we know cube 2 side lengths or edges
`B` are twice those of cube 1, this means:

`B=2b`

Therefore the volume of cube 2 is:

`V_(cube2)=B^(3)`

Which is the same as:

`V_(cube2)={(2b)}^(3)`

Therefore the right answer is B