Question

Can someone help please

Answer 1

Explanation:

a) The volume of the prism is

`V = (n^2 - 1)×(n^2 - 1)×(5n)`

`\:\:\:\:= (n^4 - 2n^2 + 1)(5n)`

`\:\:\:\:=5n^5 - 10n^3 + 5n`

b) If the dimensions L of the prism are tripled, the new volume will be

`V' = (3L)^3 = 27L^3 = 27V`

so it will increase by a factor of 27.