Question

20 similar cubes have a total volume of 4320 cm3. What is the edge of 1 cube?

Answer 1

Given:-

• Volume of 20 cubes = 4320 cm³

To find:-

• Edge of each cube

Solution:-

$Volume \: of \: 20 \: cubes = 4320{cm}^{3}$

$Volume \: of \: each \: cube = \frac{4320}{20}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 216{cm}^{3}$

Now,

$We \: have \: volume \: of \: 1 \: cube = 216 {cm}^{3}$

We know,

$Volume \: of \: a \: cube = {(side)}^{3}$

Therefore,

$216 = {(side)}^{3}$

$=> side = \sqrt[3]{216}$

$=> side = 6cm$

Therefore edge of 1 cube is 6cm.