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 :)

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

the answer is 1/4

step-by-step explanation: