Question

Side of a cubical box whose volume is 2744 cm3 =

• A. 14cm
• B. 12cm
• C. 13cm

Answer 1

The correct option is A 14cm

Let side of cube be x cm.
Given that $x^3$ = 2744 $c{m}^3$.
2744 = $2\times 2\times 2\times 7\times 7\times 7$
Therefore x = $\sqrt[3]{32744}$ =$\sqrt[3]{32\times 2\times 2\times 7\times 7\times 7}$
$=2\times 7=14cm$