Question

If the above pyramid is dilated using a scale factor of 2, what would be the new volume? To find the volume of a pyramid, use V = lwh/3. _ft^3.

Answer 1

Doubling every linear dimension multiplies volume by 2^3 = 8. So the new volume is

V' = (2l)(2w)(2h)/3 = 8·(lwh/3) = 8V.

So the dilated pyramid has volume (8lwh)/3 cubic feet — i.e. 8 times the original volume.