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