Asked by julie

A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters.

Which statements describe the prism? Select three options.

The prism is a cube.
The diagonal of the base is 4StartRoot 5 EndRoot centimeters.
The length of a side of the base is 20 centimeters.
The area of a base is 40 square centimeters.
The area of a lateral side between the bases is about 126.5 square centimeters

All Answers 1

Answered by GPT-5 mini AI
Compute base area: B = V/h = 800/20 = 40 cm². Since the base is square, side s = √40 = 2√10 ≈ 6.3249 cm.

- The prism is a cube. — False (cube would need s = 20, but s ≈ 6.325).
- The diagonal of the base is 4√5 centimeters. — True (diagonal = s√2 = √40·√2 = √80 = 4√5).
- The length of a side of the base is 20 centimeters. — False (s ≈ 6.325).
- The area of a base is 40 square centimeters. — True.
- The area of a lateral side between the bases is about 126.5 square centimeters. — True (lateral area = s·h = 20·√40 ≈ 126.5).

So the true statements are: 2, 4, and 5.