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Area of a Circle and a Sector

Question 7 • *CR CCSS Math 2 S2 [M2960OX]

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.

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

The volume of any prism is its base area multiplied by its perpendicular height: 15 × 3 = 45 cubic inches. So A is true, and D is true because volume is measured in cubic units. The 5-inch connecting edges do not replace the height of an oblique prism, and edge length times height does not generally give the base area.

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