Question

Suppose a pyramid's dimensions are tripled. What is the ratio of this new, larger pyramid's volume to that of the

original pyramid?

Answer 1

The new volume is 27 times the original volume.

Edgenuty

Answer 2

27:1

Explanation:

If the dimensions of the original pyramid are tripled then the ration between the new, larger pyramid and the old one would be 27:1 . This can be calculated by first calculating the volume of a pyramid and then doing the same but with dimensions 3 times the old one. Then divide the volume of the new one with that of the old one.

Volume of Pyramid =
`(length * width * height)/(3)`

Volume Pyramid 1 =
`(3*3*3)/(3)` = 9

Volume Pyramid 2 =
`(9 * 9 * 9)/(3)` = 243

243/9 = 27/1 or 27:1