Question

A solid cubical box of fine wood costs $Rs.256$ at the rate $Rs.500/m^3$. Find its volume and length of each side.

Answer 1

solid cubical box of fine wood costs $Rs.256$ at the rate $Rs.500/m^3$

Cost for one meter cube = $Rs.500$

Original Cost = $Rs.256$

Volume $\times$ cost for one meter cube = $256$

volume = $\frac{256}{500}$ = $0.512m^3$

Volume of Cube = $l^3$($l$ is the side)

$l^3$ =$0.512m^3$

Hence $l=\sqrt[3]{30.512}=0.8m$

The length of the side is $80$ cm