Question

. If the volumes of two cubes are in the ratio 27:1. Derive the relationship between two cubes and solve to find the ratio of their edges?

Answer 1

Let the edges be a and b of two cubes, then

$\begin{aligned} \frac{a^3}{b^3} = \frac{27}{1} \\ => \left( \frac{a}{b} \right)^3 = \left( \frac{3}{1} \right)^3 \\ \frac{a}{b}=\frac{3}{1} \\ => a:b = 3:1 \end{aligned}$