Question

A rectangular prism as a width of x inches, a length of x^2y

inches, and a height of y^2
inches. Which expression represents the volume in cubic inches of this rectangular prism?

A. x^2 y^2
B. 4x^2 y^2
C. x^3 y^3
D. 4x^3 y^3

Answer 1

C

Explanation:

The volume of a rectangular prism is given by:

`V=\ell wh`

The width is x, the length is x²y, and the height is y². Thus, the volume is:

`V=(x)(x^2y)(y^2)`

Multiply:

`V=x^3 y^3`

Our answer is C.