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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

Respuesta :

xKelvin

Answer:

C

Step-by-step explanation:

The volume of a rectangular prism is given by:

[tex]V=\ell wh[/tex]

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

[tex]V=(x)(x^2y)(y^2)[/tex]

Multiply:

[tex]V=x^3 y^3[/tex]

Our answer is C.

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