Question

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

Answer 1

Answer:

$V=(a^{4})(b^{6})\ units^3$

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

$V=LWH$

In this problem we have

$L=ab^2\\W=ab^3\\H=a^2b$

substitute

$V=(ab^2)(ab^3)(a^2b)$

Applying property of exponents

$x^{m} x^{n}x^{r} =x^{m+n+r}$

$V=(a^{4})(b^{6})\ units^3$