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.

Volume is measured as cubic units.

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

Step-by-step explanation:

Alright, lets get started.

The formula for volume of pyramid is :

Volume =

Suppose the dimensions are tripled. It means

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

New Volume =

New Volume =

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

Hope it will help :)

27:1

Step-by-step 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 =

Volume Pyramid 1 = = 9

Volume Pyramid 2 = = 243

243/9  =  27/1 or  27:1