Volume of a Right Triangular Prism Calculation

Published on March 31, 2026

Geometry

Calculate the volume of a triangular prism given the base dimensions (8m and 4m) and the prism length (9m) using the formula V = (1/2 * base * height) * length.

Question

Answer

The problem asks to find the volume of the triangular prism shown in the image.

1. Identify the formula for the volume of a prism:
The volume (

) of any prism is given by the formula:

For a triangular prism, the base is a triangle.

2. Determine the area of the triangular base ():
The base of the prism is the triangle shown in the front face. The image indicates that this triangle is a right-angled triangle, as shown by the square symbol at the corner.
The dimensions of the triangle are:

Base of the triangle ():
Height of the triangle ():

The area of a triangle is calculated as:

Substituting the values:

3. Determine the length of the prism ():
The length (or depth) of the prism is the distance between the two triangular bases, which is indicated by the dimension