Question

The triangular prism has a volume of 27 cubic units.

What will be the volume of the prism if each side is dilated by a factor of 1/3 ?

Answer 1

1

Explanation:

Answer 2

For this case we have the following relationship between the volumes:

`V2 = k ^ 3 * V1`
Where,
V2: Volume of the triangular prism after applying the scale factor on each side
V1: Original volume of the triangular prism
k: scale factor
Substituting values we have:

`V2 = ((1)/(3))^3(27)`
Rewriting:

`V2=(1)/(27)(27)`

`V2=1`
Answer:
the volume of the prism if each side is dilated by a factor of 1/3 will be
V = 1 cubic unit