Question

These prisms are similar. Find the volume of the larger prism in decimal form. Need help please.

Answer 1

518.4 in³

Explanation:

The ratio of the sides of the prisms = 5 : 6, hence

the ratio of their volumes = 5³ : 6³ = 125 : 216

let x be the volume of the larger prism then by proportion

`(125)/(300)` =
`(216)/(x)` ( cross- multiply )

125x = 216 × 300 ( divide both sides by 125 )

x =
`(216(300))/(125)` = 518.4

The volume of the larger prism is 518.4 in³