Question

Lois builds a cage for her hamster. The cage is a right rectangular prism. The height of the cage is 2 feet. The length and width are both x feet more than the height. Which expression represents the volume, in cubic feet, of the cage?

A. x^2 +6
B.2x^2+4x+4
C.x^2+4x+6
D.2x^2+8x+8

Answer 1

Your Ans is

Option D.....

Answer 2

`V=2x^2+8x+8`

Explanation:

The volume of a right rectangular prism is given by :

`V=lbh`

Where,

l is length, bis breadth and h is height

ATQ,

Height of the cage is 2feet

The length and width are both x feet more than the height.

l = b = (x+2)

So,

`V=(x+2)(x+2)2\\\\V=(x+2)^22\\\\V=(x^2+4+4x)2\\\\V=2x^2+8+8x`

So, the correct option is (D).