Question

find the side of a cube whose volume is 64

Answer 1

The side of a cube whose volume is $64\:unit^{3}$ is $4\:units$.

Tips:

If $V$ be the volume of a cube and $a$ be the length of its sides, then

$\quad a=\sqrt[3]{V}$

Exponential rule:

• $(a^{m})^{n}=a^{mn}$, where $a\in\mathbb{R}$ and $m,n\in\mathbb{Q}$ [$\mathbb{R}$ is the set of Real Numbers and $\mathbb{Q}$ is the set of Rational Numbers]

• Also, $\sqrt[3]{a^{3}}=a$

Step-by-step explanation:

Given, the volume of the cube is $64\:unit^{3}$.

Then the length of its sides

$=\sqrt[3]{volume}$

$=\sqrt[3]{64}$ units

$=\sqrt[3]{4^{3}}$ units

$=4$ units