Question

What is the new volume of a right square pyramid with a volume 180in.3 if the lengths of the sides of the base remain fixed but it’s height is multiplied by a factor 10

Answer 1

c 1800

Explanation:

Answer 2

The volume of a right square pyramid is
`V= (1)/(3) A_{\text{ basis } }\cdot h`, where
`A_{\text{ basis } }` is basis area.

If the lengths of the sides of the base remain fixed and height
is multiplied by a factor 10, than new height is
`H=10h` and the volume is


`V^(\ast)=A_{\text{ basis } }\cdot H=(1)/(3) A_{\text{ basis } }\cdot 10h=(10)/(3) A_{\text{ basis } }\cdot h`