Question

A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5 . What is the volume of the dilated prism?

Answer 1

86.4 ft³

Proof:

Answer 2

The formula to find the volume of a prism is V=Bh (Volume = Base x height). Let's plug in the dimensions you were given:

V=Bh
V=(5)(10)
V=50 {tex] ft^{2} [/tex]

To find the new volume of the dilated prism, cube the dilated factor, then multiply by the volume you just found (old volume):

New Volume = (
`x^(3)`)(Old Volume)
V = (
`(6)/(5)`)³·50
V = (
`(432)/(5)`
V = 86.4