we know that
The volume of an oblique pentagonal prism is equal to
![V=Bh](https://tex.z-dn.net/?f=V%3DBh)
where
B is the area of the base of the prism
h is the height of the prism
In this problem we have
![B=15\ in^{2}](https://tex.z-dn.net/?f=B%3D15%5C%20in%5E%7B2%7D)
![h=3\ in](https://tex.z-dn.net/?f=h%3D3%5C%20in)
so
The volume is equal to
![V=(15)(3)](https://tex.z-dn.net/?f=V%3D%2815%29%283%29)
![V=45\ in^{3}](https://tex.z-dn.net/?f=V%3D45%5C%20in%5E%7B3%7D)
<u>Statements</u>
<u>case A)</u> The volume of the prism is computed using the expression ![(15)(3)](https://tex.z-dn.net/?f=%2815%29%283%29)
The statement is true
See the procedure
<u>case B)</u> The volume cannot be determined because the dimensions of the base are unknown
The statement is false
Because, the dimensions of the base are not required, as the area of the base and the height of the prism are known
<u>case C)</u> The edge length can be used in place of the height of an oblique prism if the height is unknown
The statement is false
Because, the edge length and the height are different measures
<u>case D)</u>The unit on the volume measure of the prism is cubic inches
The statement is true
see the procedure
<u>case E)</u> The edge length times the height is the area of the base in any prism
The statement is false
Because, the edge length times the height is the lateral area of any prism
<u>the answer is</u>
The volume of the prism is computed using the expression ![(15)(3)](https://tex.z-dn.net/?f=%2815%29%283%29)
The unit on the volume measure of the prism is cubic inches