# Volume of a Triangle

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

A triangle is a 2-dimensional closed geometric shape which consists of 3 sides and 3 angles, and belongs to the polygon family of shapes. We can easily calculate the area and the perimeter of a triangle using formulas, but it is not possible to calculate the volume of a triangle since volume needs 3 dimensions. However, a triangular prism is a 3-dimensional figure consisting of congruent triangular bases and we can find the volume of this prism by using its volume formula.

Example 1: Calculate the volume of a triangular prism whose base of the triangle is 5m, height of the triangular base is 3m and length of the prism is 8m.

Given: base of the triangular prism ==> b= 5m

Height of the base triangle, h = 3m

Length of the prism, l = 8m

Volume of a triangular prism, V = 1/2 *b* h * l

This gives, volume, V= 1/2 * 5m * 3m * 8m= 60m3

Therefore, volume of the given triangular prism is 60m3

Example 2: Calculate the volume of a triangular prism whose base of the triangle is 4m, height of the triangular base is 7m and length of the prism is 10m.

Given: base of the triangular prism ==> b= 4m

Height of the base triangle, h = 7m

Length of the prism, l = 10m

Volume of a triangular prism, V = 1/2 * b * h * l

This gives, volume, V= 1/2 * 4m * 7m * 10m= 140m3

Therefore, volume of the given triangular prism is 140m3