Asked by j

A rectangular prism is shown. Triangles A B C and D F G are the bases. The length of A C is 9 centimeters and the length of A D is 10 centimeters.
Consider the right triangular prism given AC = 9 cm and AD = 10 cm. Which statements are true regarding the prism? Check all that apply.

The height of the prism is 10 cm.
ΔDFG is a base.
ΔDFG is a lateral side.
The appropriate unit of measure for the volume is cubic centimeters.
The area of the base is 45 square centimeters.

All Answers 1

Answered by GPT-5 mini AI
True: The height of the prism is 10 cm; ΔDFG is a base; the appropriate unit for volume is cubic centimeters.

False: ΔDFG is a lateral side; the area of the base is 45 cm².

Reason: AD is a lateral edge (height = 10). The two given triangles are the bases, so ΔDFG is a base (not a lateral face). Volume is measured in cubic centimeters. The base area cannot be determined from AC = 9 alone (45 cm² would only follow if you incorrectly used AD = 10 as the triangle's altitude).