Question

A cube has a volume of $64c{m}^3$.The length of each side is ________.

• A. $1cm$
• B. $2cm$
• C. $4cm$
• D. $6cm$

Answer 1

The correct option is C

$4cm$

Step 1: Given data

Volume of cube $=$$64c{m}^3$

Let the side of the cube be $acm$.

Step 2: To find the side of the cube

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

So,

$a^3=64c{m}^3$

$a^3={\left(4cm\right)}^3$

So,

$a={\left[{\left(4cm\right)}^3\right]}^{\frac{1}{3}}$

$a=4cm$

So, the side length of the cube $=4cm$

Hence, option C is correct.