Question

The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?

The new pyramid has a volume that is the volume of the original pyramid.
1
The new pyramid has a volume that is į the volume of the original pyramid.
The new pyramid has the same volume as the volume of the original pyramid.
The new pyramid has a volume that is 2 times the volume of the original pyramid.

Answer 1

B.

Explanation:

The new pyramid has a volume that is One-half the volume of the original pyramid.

Answer 2

The new volume of the pyramid would be cut in half.

Explanation:

from the equation of the volume of the pyramid
`= (lwh)/(3)`

where is l length and w is width and h is height.

substituting that l1 = 1/2 , and w1 = w/2 and h1 = 2h,

we will end up with half of the original volume.

The final result would be
`(lwh)/(6)`, which is half as small.