Question

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. What is the area of the triangular base? square feet What is the length of edge DF?

Answer 1

What is the area of the triangular base?

✔ 8

square feet

What is the length of edge DF?

✔ 4

feet

Edge 2022

Answer 2

Area of triangular Base is 8 feet² & Edge length is 4 feet.

Explanation:

Given: Volume of Rectangular prism = 72 feet³

Height of prism = 9 feet

triangle of base is an isosceles right angled triangle.

To find: Area of Triangular Base & Edge of triangle

we know that,

Volume of Prism = Area of Base × Height

⇒ Area of Triangular Base × 9 = 72

Area of Triangular Base =
`(72)/(9)`

Area of Triangular Base = 8 feet²

Triangular Base is an isosceles right angled triangle .i.e., perpendicular legs are equal in length say x.

`(1)/(2)* Base* Height=8`

`(1)/(2)* x* x=8`

`x^2=8*2`

`x=√(16)`

x = 4

Length of Edge = 4 feet

Therefore, Area of triangular Base is 8 feet² & Edge length is 4 feet.