Question

The volume of a cubical box is $0.512$ cubic metres. Find the length of a side of the box.

• A. $0.8$ m
• B. $0.6$ m
• C. $0.08$ m
• D. $0.3$ m

Answer 1

The correct option is A $0.8$ m

$x^3=0.512$
$x=\sqrt[3]{3\frac{512}{1000}}=\frac{8}{10}=0.8m$
$512=\underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}$
$\sqrt[3]{3512}=2\times 2\times 2=8$
$1000=\underset{–}{2\times 2\times 2}\times \underset{–}{5\times 5\times 5}$
$\sqrt[3]{31000}=2\times 5=10$