Question

A wooden pyramid, 6 inches tall, has a square base. A carpenter increases the dimensions of the wooden pyramid by a factor of 3 and makes a larger pyramid with the new dimensions. Describe the ratio of the volumes of the two pyramids.

Answer 1

please give me a min to solve

Answer 2

Ok; appreciate your time.

Answer 3

ratio of measurements is 1:3

ratio of volumes

(1)^3 :(3)^3
=1:27
ok suppose that h= 6
and the square base has side length= 1cm

V=1/3×12×6
V = 2 cm^3
now with the dimensions tripled
h = 18 and square side length = 3cm
V=1/3×32×18
V = 54 cm^3
the ratio of the volumes is 2:54 or 1: 27
hope this will work :)

Answer 4

Yes it does, thank you!

Answer 5

welcome :)