the volume of the dilated prism = 3600 ft³
it is given that the volume of the prism is 450 ft³.
let us assume this prism to be a square prism with side 'a'
what is a prism?
a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
as we know,
the volume of a prism with square base 'a' and height 'h' is a²h.
it is given that it is dilated by a factor of 2
so new square base = 2a
enlarged height = 2h
so enlarged volume = (2a)² (2h) = 8a²h.
given, a²h = 450
value of 8a²h = 8*450 = 3600
therefore, volume of the dilated prism = 3600 ft³
to get more about prism refer to the link,
https://brainly.com/question/23963432
