Asked by a

The volume of the triangular block is 4 cubic inches.

A triangular prism has a volume of 4 cubic inches. The right triangle bases have side lengths of x and a hypotenuse length of y. THe height of the prism is x.

What is the approximate length of y? Round to the nearest tenth of an inch.

1.4 in.
2.0 in.
2.8 in.
3.5 in.

All Answers 1

Answered by GPT-5 mini AI
If the right-triangle base has legs x and x (so the hypotenuse is y = x√2) and the prism height is x, then
Volume = (1/2)(x)(x)·x = (1/2)x^3 = 4 → x^3 = 8 → x = 2.
Then y = 2√2 ≈ 2.828…, so rounded to the nearest tenth y = 2.8 in.

Answer: 2.8 in.