Question

The volume of a cubical box is $32.768m^3$. The length of one side of the box is

• A. $3.2m$
• B. $4.2m$
• C. $3.0m$
• D. $2.8m$

Answer 1

The correct option is

A

$3.2m$

Given, the volume of cubical box $=32.768m^3$

Let the side of the cube $=ameter$

$\because$Volume of cube $=a\times a\times a=a^{3}meter$

$\Rightarrow a^3=32.768$

Taking cube root both side , we get

$\Rightarrow a=(32.768{)}^{\frac{1}{3}}$

$\Rightarrow a=3.2m$

Hence, the length of the one side of box is $3.2m$.