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The dimensions of a rectangular prism are shown in the diagram below. Write an expression that represents the volume of the rectangular prism?

Hint: Aprism= Length x width x height

The dimensions of a rectangular prism are shown in the diagram below Write an expression that represents the volume of the rectangular prism Hint Aprism Length class=

Respuesta :

calculista

Answer:

[tex]V=(a^{4})(b^{6})\ units^3[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

In this problem we have

[tex]L=ab^2\\W=ab^3\\H=a^2b[/tex]

substitute

[tex]V=(ab^2)(ab^3)(a^2b)[/tex]

Applying property of exponents

[tex]x^{m} x^{n}x^{r} =x^{m+n+r}[/tex]

[tex]V=(a^{4})(b^{6})\ units^3[/tex]

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