Question

A certain quality of wood costs $Rs250per{m}^3$. A solid cubical block of such wood is bought for $Rs182.25$. Calculate the volume and the length of one edge of the block.

Answer 1

Volume of block bought for $Rs.250=1m^3$

Volume of bloc bought for $Rs.1=\frac{1}{250}{m}^3$

$\therefore$ Volume of block bought for $Rs.182.25=\frac{1}{250}\times 182.25=0.729m^3$

Now,

As the block is cubical, let '$a$' be the edge length of block.

Therefore,

Volume of block $=a^3=0.729$

$\Rightarrow a=\sqrt[3]{30.729}=0.9m$

Hence the length of on edge of the block is $0.9m$.