Two similar regular pyramids have slant heights of 2 and 8 t

Two similar regular pyramids have slant heights of 2 and 8. the volume of the smaller pyramid ia 10. Find the volume of the larger pyramid.

Solution

The ratio of their corresponding sides (that is slant heights) = 8/2 = 4 ( larger to smaller)

For similar figures,

Ratio of volumes is cube root of ratio of sides.

Hence, Volume of larger pyramid = 4³* volume of smaller pyramid

= 64* 10 = 640