Question

2. the height of one solid limestone square pyramid is 24 m. a similar solid limestone square pyramid has a height of 30 m. the volume of the larger pyramid is 16,000 m3. determine each of the following, showing all your work and reasoning. a) the scale factor of the smaller pyramid to the larger pyramid in simplest form. b) the ratio of the area of the base of the smaller pyramid to the larger pyramid. c) ratio of the volume of the smaller pyramid to the larger. d) the volume of the smaller pyramid. i don't necessarily want an answer, just an explanation. thank you!

Answer 1

A) the scale factor of the smaller pyramid to the larger pyramid in simplest form is 24:30 = 4:5

b) the ratio of the area of the base of the smaller pyramid to the larger pyramid.
From the scale factor, the ratio of the area of the base of the smaller pyramid to the larger pyramid is 4^2 : 5^2 = 16:25