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?

Answer 1

Answer:

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

Step-by-step explanation:

The volume of a pyramid is given by the following equation:

$V = \frac{h*l*w}{3}$

In which h is the height, l is the length and w is the width.

Modified volume:

height doubled, length and width cut in half. So

$h = 2h, l = 0.5l, w = 0.5w$

$V_{M} = \frac{2h*0.5l*0.5l}{3} = \frac{0.5*h*l*w}{3} = 0.5\frac{h*l*w}{3}$ = 0.5V[/tex]

That is

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