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

Answer:

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

Step-by-step 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 = $\frac{72}{9}$

Area of Triangular Base = 8 feet²

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

$\frac{1}{2}\times Base\times Height=8$

$\frac{1}{2}\times x\times x=8$

$x^2=8\times2$

$x=\sqrt{16}$

x = 4

Length of Edge = 4 feet

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

Answer 2

What is the area of the triangular base?
8 square feet

What is the length of edge DF?
4 feet