Question

One cube has an edge length 5 cm shorter than the edge length of the second cube. The volume of the smaller cube is 216 cm?. What is the volume of the

larger cube?

Answer 1

The volume of the larger cube is
`V=1,331\ cm^3`

Explanation:

Let

x ---> the length of the smaller cube

y ---> the length of the larger cube

we know that

the volume of a cube is equal to

`V=b^3`

where

b is the length side of the cube

we have

`x=y-5` ----> equation A

The volume of the smaller cube is 216 cm^3

so

substitute in the formula of volume

`216=x^3`

solve for x

`x=\sqrt[3]{216}\ cm`

`x=6\ cm`

Find the value of y

`x=y-5`

`6=y-5`

`y=6+5=11\ cm`

Find the volume of the larger cube

`V=y^3`

substitute the value of y

`V=11^3`

`V=1,331\ cm^3`