Question

The volume of a cubical box is 474.552 cubc metres. Find the length of each side of he box.

Answer 1

Volume of cubical box $=474.552cum\therefore Eachside=3\sqrt{Volume}=3\sqrt{474.552}==3\sqrt{\frac{474552}{1000}}=\frac{3\sqrt{474552}}{3\sqrt{1000}}$

$=\frac{3\sqrt{2\times 2\times 2\times 3\times 3\times 3\times 13\times 13\times 13}}{3\sqrt{10\times 10\times 10}}=\frac{3\sqrt{2^3\times 3^3\times {13}^3}}{3\sqrt{{10}^3}}=\frac{2\times 3\times 13}{10}=\frac{78}{10}=7.8m$