Question

The volume of a cubical box is 32.768 cubic meters. Find the length of a side of the box.

• A. 32m
• B. 3.2m
• C. 0.32m
• D. 0.032m

Answer 1

The correct option is B 3.2m

The volume of a cubical box= $side\times side\times side=(side{)}^3$
Given:
$Volume:32.768m^3$
$side{)}^3=32.768m^3$
$(side{)}^3=\frac{32768}{1000}{m}^{3}side=\sqrt[3]{3\frac{2^3\times 2^3\times 2^3\times 2^3\times 2^3}{{10}^3}}=\frac{2\times 2\times 2\times 2\times 2}{10}=3.2m$