Question

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid?

Answer 1

The effect of doubling all the dimensions of a triangular pyramid will have on the volume of the pyramid is to increase it by 8 times.

Explanation:

i) volume of triangular pyramid =
`(1)/(3)`
`*` Area
`*` height

=
`(1)/(3)`
`*` (Base of triangle
`*` perpendicular height of triangle)
`*` height

ii) if we double all the dimensions then the three variables((Base of triangle, perpendicular height of triangle, height of pyramid) will be doubled

and the volume of the new pyramid will be 8 times that of the original one.