Question

find the volume of a pyramid whose base is a rectangle with length 2 and width 5 and which has a height of 6. The volume is dilated by a scale factor of 7.find the volumes image

Answer 1

Given :

Length l=2, width w =5 and height h=6.

The volume of the pyramid is

$V=\frac{lwh}{3}$

Substitute l=2, w=5, and h=6, we get

$V=\frac{2\times5\times6}{3}=20units^3$

The volume of the given pyramid is 20 cubic units.

The volume is dilated by scale factor 7.

The volume of the image is

$V^{\prime}=20\times7=140units^3$

The volume of the image of the pyramid is 140 cubic units.