Similar Solids

Let $\ell_1$ and $\ell_2$ be two corresponding sides of the two similar solids. Let $A_1$ and $A_2$ be the areas of the two similar solids. Let $V_1$ and $V_2$ be the volumes of the two similar solids. Then we have

1. $\dfrac{A_1}{A_2} = \left(\dfrac{\ell_1}{\ell_2}\right)^2$
2. $\dfrac{V_1}{V_2} = \left( \dfrac{\ell_1}{\ell_2}\right)^3$

Same Topic:

Circle Cone Pyramid Sphere