Question

Please help me please

Answer 1

Volume = 518.4 in³

Explanation:

given 2 similar figures with ratio of sides = a : b , then

ratio of volumes = a³ : b³

here ratio of sides = 5 : 6

ratio of volumes = 5³ : 6³ = 125 : 216

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

`(ratio)/(volume)`

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

125x = 64800 ( divide both sides by 125 )

x = 518.4

then volume of larger prism is 518.4 in³