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:
[tex]V = \frac{h*l*w}{3}[/tex]
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
[tex]h = 2h, l = 0.5l, w = 0.5w[/tex]
[tex]V_{M} = \frac{2h*0.5l*0.5l}{3} = \frac{0.5*h*l*w}{3} = 0.5\frac{h*l*w}{3}[/tex] = 0.5V[/tex]
That is
The new pyramid has a volume that is half the volume of the original pyramid.