Volume of a Triangular Prism Formula 7th Grade

In geometry, a triangular prism is a three-dimensional shape that consists of two triangular faces and three rectangular faces. To calculate the volume of this shape, we need to use the formula for the volume of a triangular prism.

The formula for the volume of a triangular prism is given by:

V = (1/2)bh

Where V is the volume of the triangular prism, b is the base area, and h is the height of the triangle.

In this formula, the base area (b) can be calculated as:

b = 1/2 × length × width

Where length and width are the dimensions of the rectangular faces of the triangular prism.

To find the volume of a triangular prism, we need to substitute the values of b and h into the formula. Let's consider an example to illustrate this.

Example: A triangular prism has a base area of 30 cm² and a height of 15 cm. Find its volume.

Solution:

First, calculate the base area (b):

b = 1/2 × length × width

= 1/2 × 30 cm × 15 cm

= 225 cm²

Now, substitute the values into the formula:

V = (1/2)bh

= (1/2) × 225 cm² × 15 cm

= 1687.5 cubic centimeters

Therefore, the volume of the triangular prism is approximately 1687.5 cubic centimeters.

In conclusion, the volume of a triangular prism can be calculated using the formula V = (1/2)bh, where b is the base area and h is the height of the triangle. By substituting the values into this formula, we can find the volume of any triangular prism.

Volume of a triangular prism formula 7th grade