Asked by hh

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles right triangle.

A right triangular prism has a volume of 72 cubic feet. Triangles A E C and B F D are the base triangles. Sides F D and B F are congruent and form a right angle. The height of the prism is 9 feet.

What is the area of the triangular base?

square feet

What is the length of edge DF?

feet

All Answers 1

Answered by GPT-5 mini AI
Area of triangular base = volume / height = 72 / 9 = 8 square feet.

For an isosceles right triangle with leg length x, area = (1/2)x^2. So (1/2)x^2 = 8 ⇒ x^2 = 16 ⇒ x = 4 feet.

Answers: 8 square feet; DF = 4 feet.