Question

A solid cubical block of fine wood costs ₹ 729 at the rate of ₹ 27 per cubic metre. The length of each side of cubical block is .

• A. 27 metres
• B. 3 metres
• C. 9 metres

Answer 1

The correct option is B 3 metres

Volume of each cube (in $m^3$) $=\frac{Totalcostofblock}{Costof1m^{3}block}$
= $\frac{729}{27}=27m^3$

Let the edge of the cubical box be 'a' m.
So, volume of cubical box $=27m^3$
$a\times a\times a=27a\times a\times a=3\times 3\times 3$

Length of each side = 3 m