Question

the base area of an oblique pentagonal prism is 15 sq. in. the prism measures 3 inches in height and the edges connecting the bases measure 5 inches each. which statements about the prism are true? check all that apply. the volume of the prism is computed using the expression (15)(3). the volume cannot be determined because the dimensions of the base are unknown. the edge length can be used in place of the height of an oblique prism if the height is unknown. the unit on the volume measure of the prism is cubic inches. the edge length times the height is the area of the base in any prism.

Explanation:

Step1: Recall volume formula for prism

The volume formula for any prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height. Given $B = 15$ sq. in and $h=3$ inches, so $V=(15)(3)$.

Step2: Analyze unit of volume

Since the base - area is in square inches and the height is in inches, the volume $V = B\times h$ has a unit of square inches $\times$ inches = cubic inches.

Step3: Analyze other statements

The volume can be determined with the given base - area and height, so the statement "The volume cannot be determined because the dimensions of the base are unknown" is false. The edge length cannot be used in place of the height for an oblique prism when the height is known. And the edge length times the height is not the area of the base in any prism.

Answer:

The volume of the prism is computed using the expression (15)(3).
The unit on the volume measure of the prism is cubic inches.