Question

Can someone help please

Answer 1

Step-by-step 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.