Question

Calculate the volume for a triangular prism. The triangle has a base of 9 cm and a height of 8.5 cm. The length of the prism is 6 cm.

A) 229.5 cm³
B) 204 cm³
C) 255 cm³
D) 306 cm³
E) 190.5 cm³

Answer 1

The volume of the triangular prism is 229.5cm^3 , which matches option A.

The formula to calculate the volume of a triangular prism is:

Volume=Area of the base×Height of the prism

For a triangular base, the area formula is:

Area of a triangle= 1/ 2 ×Base×Height

Given:

Base of the triangle = 9 cm

Height of the triangle = 8.5 cm

Height of the prism = 6 cm

First, let's find the area of the triangular base:

Area of triangle= 1/2 ×Base×Height

= 1/ 2 ×9cm×8.5cm

= 1/2 ×76.5cm^2 =38.25cm^2

Now, we'll find the volume of the prism using the formula:

Volume=Area of the base×Height of the prism

=38.25cm^2 ×6cm

=229.5cm^3

Therefore, the volume of the triangular prism is 229.5cm^3 , which matches option A.