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.

Answer 1

True:
- The volume of the prism is computed using the expression (15)(3). — Volume = base area × perpendicular height = 15 × 3 = 45.
- The unit on the volume measure of the prism is cubic inches. — Volume units are in^3.

False:
- The volume cannot be determined because the dimensions of the base are unknown. — False: base area is given (15), so that's sufficient.
- The edge length can be used in place of the height of an oblique prism if the height is unknown. — False: only the perpendicular height (distance between bases) works; the slanted edge (5 in) is not the height unless the prism is right.
- The edge length times the height is the area of the base in any prism. — False: that product has no general meaning for base area.