Question

A rectangular prism has a width of x2 inches and a length of xy2 inches and a height of xy inches.

Which expression represents the volume of the rectangular prism in cubic inches?


2x^2y^2


2xy^3 + 2x^2y


2x^4y^3


x^3y^2

Answer 1

The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height of the prism, respectively.

In this case, the width is x^2 inches, the length is xy^2 inches, and the height is xy inches.

Substituting these values into the formula, we get:

V = (xy^2)(x^2)(xy)

Simplifying, we get:

V = x^4y^3

Therefore, the expression that represents the volume of the rectangular prism in cubic inches is x^4y^3.

Answer 2

x^3y^3 is the answer