Question

An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inches, of the aquarium, in terms of n ?

Answer 1

The formula of a volume of a rectangle prism:

`V=lwh`

l - length

w - width

h - height

We have

`l=n^2+2;\ w = 10,\ h=n+5`

Substitute:

`V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100`

Answer: V = (10n³ + 50n² + 20n + 100) in³