Answer:
If Matthew knows the volume of a rectangular prism then the height of the prism is 6 meters.
Solution:
Given, Matthew knows the volume of a rectangular prism is 132 [tex]m^3[/tex]
And the area of the base is 22 [tex]m^2[/tex]
We have to find what is the height?
Now, we know that,
volume of the rectangular prism = area of the base of the prism [tex]\times[/tex] height of the prism.
So, substitute the given information in the above formula.
132 = 22 [tex]\times[/tex] height of the prism.
Height of the prism = [tex]\frac{132}{22} = \frac{12}{2} = 6m[/tex]
Hence height of the prism is 6 meters.