AnswersOC27 GEO-1206310-S2-Degele-VOL7006PVolume of PrismsQuestion 119098
119098
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Volume of Prisms

Question 119098 • (OC27) GEO-1206310-S2-Degele-VOL7006P

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
A
The volume of the prism is computed using the expression (15)(3).
B
The volume cannot be determined because the dimensions of the base are unknown.
C
The edge length can be used in place of the height of an oblique prism if the height is unknown.
D
The unit on the volume measure of the prism is cubic inches.
E
The edge length times the height is the area of the base in any prism.

Explanation

A prism’s volume is its base area multiplied by its perpendicular height. Here, that is (15)(3), so statement A is true; the 5-inch connecting edges are not used instead of the height for an oblique prism. Since volume is measured in cubic units, the unit is cubic inches, making statement D true. The base area is already given, so the base’s individual dimensions are not needed.

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