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 cm³151,200 cm³
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.
The base of the triangular prism is a triangle with a base of 40 cm and a height of 10 cm. The area of this triangle is (1/2)(40 cm)(10 cm) = 200 cm^2.
The height of the triangular prism is given as 25 cm.
To find the volume, we multiply the base area by the height: (200 cm^2)(25 cm) = 5000 cm^3.
Therefore, the volume of the triangular prism is 5000 cm^3.
The correct answer is not given.