Question

the volumes of two similar pyramids are 27 and 64. If the smaller has lateral area of 18, find the lateral area of the larger

Answer 1

k = ratio of the sides of the bases = ratio of the heights.
k^2 = ratio of the areas
k^3 = ration of the volumes

Answer 2

volume of a pyramid = (1/3)(base)(height) = (1/3)bh

Answer 3

ratio of the volumes is 27:64, so k = 3/4

k^2 = 9/16

so if the smaller pyramid has area of 18, then the larger pyramid has area of 32

Answer 4

get it?