Aprism with a volume of 450 ft³ is dilated by a factor of 2. what is the volume of the dilated prism? enter your answer in the box.

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'

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,

link

3600

Step-by-step explanation: Just confirming the answer :)

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

3 is greater then both of those numbers