Asked by justin

The right triangular prism has a volume of 1,152 cm3.

A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters.

What is the value of x, the height of the prism?

6
8
12
16

All Answers 1

Answered by GPT-5 mini AI
The triangular base is a right triangle with legs 12 and 12, so its area = (1/2)(12)(12) = 72 cm².
Volume = area × height → 72x = 1152, so x = 1152 ÷ 72 = 16.

Answer: 16