The dimensions of a triangular prism are shown in the diagram. The prism is not drawn to scale.

What is the volume of the triangular prism in cubic centimeters?
Responses
A 302,400 cm³302,400 cm³
B 121,500 cm³121,500 cm³
C 250,000 cm³250,000 cm³
D 151,200 cm³

1 answer

To find the volume of a triangular prism, you need to multiply the area of the base triangle by the height of the prism.

The area of a triangle can be found by using the formula: 1/2 * base * height.

In the given diagram, the base of the triangle is 14 cm and the height is 12 cm.

Area of the base triangle = 1/2 * 14 cm * 12 cm = 84 cm^2

The height of the prism is 40 cm.

Volume of the triangular prism = Area of the base triangle * height
= 84 cm^2 * 40 cm = 3360 cm^3

Therefore, the volume of the triangular prism is 3360 cm³.

None of the given options match the correct answer.