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

Answer:

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

Step-by-step 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

$V=11^3$

$V=1,331\ cm^3$