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?

The new volume is one third the original volume.
The new volume is triple the original volume.
The new volume is 9 times the original volume.
The new volume is 27 times the original volume.

Answer 1

Explanation:

Alright, lets get started.

The formula for volume of pyramid is :
`(1)/(3)(area of base)*height`

Volume =
`(1)/(3)(a*b)*h`

Suppose the dimensions are tripled. It means

a will be 3a, b will be 3b, h will be 3h

New Volume =
`(1)/(3)(3a*3b)*3h`

New Volume =
`27*(1)/(3)(a*b)*h`

It means the new volume is 27 times the original volume. : Answer option D

Hope it will help :)

Answer 2

Volume is measured as cubic units.

The volume would increase 3^3 = 27 times the original volume.