Question

3 the dimensions of a triangular prism are given in the diagram. find is the volume of the prism in cubic feet.

Explanation:

Step1: Find the area of the triangular base

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. Here, the base of the triangle is 25 ft and the height is 12 ft.
So, $A = \frac{1}{2} \times 25 \times 12$
$A = 150$ square feet.

Step2: Find the volume of the triangular prism

The formula for the volume of a prism is $V = Area\ of\ base \times length\ of\ the\ prism$. The length of the prism (the distance between the two triangular bases) is 22 ft.
So, $V = 150 \times 22$
$V = 3300$ cubic feet.

Answer:

3300