Question

The length of a rectangular prism is described with the expression4x-2y4 units, the width is described with the expression 1.5x2y-3 units and the height is described with the expression 3xy-1 Which of thefollowing can be used to describe the volume of the prism?

Answer 1

B

1) GIven the following information we can write out:

The Volume of a Rectangular Prism is equal to

`V=a\cdot b\cdot c`

2) Plugging into them the given dimensions we can state, expanding the factors:

`\begin{gathered} V=4x^(-2)y^4\cdot1.5x^2y^(-3)\cdot3xy^(-1) \\ V\text{ =18}x^(-2+2+1)y^(4-3-1) \\ V=18x^{}y^(4-4) \\ V=18xy^0 \\ V=18x \end{gathered}`

Note that we applied the exponent's rule to operate them.

3) Hence, the volume of that rectangular prism is 18x cubic units