NTSE Stage 2 SAT 2016 Question Paper

Volume of metallic block = 1 ${\mathrm{m}}^3$ ...(1)
let the each side of the square base is x m
So, volume of the rectangular bar = ${\mathrm{x}}^2\times 9$ ...(2)
$9{\mathrm{x}}^2=1$
⇒ ${\mathrm{x}}^2=\frac{1}{9}$
⇒ $\mathrm{x}=\frac{1}{3}\mathrm{m}$
Side of cube possible $=\frac{1}{3}\mathrm{m}$
Side of cube possible=weight of block × ${\left(\frac{1}{3}\right)}^3$
$=90\times \frac{1}{27}$
$=\frac{10}{3}\mathrm{kg}$
$=3\frac{1}{3}\mathrm{kg}$
so the weight of a cube is $3\frac{1}{3}\mathrm{kg}$