mathworksheets4kids volume of triangular prism answers

Volume of Triangular Prism Worksheet Answers

Calculating the volume and surface area of triangular prisms can be a fun and challenging math problem for kids. In this article, we will explore how to calculate the volume of a triangular prism using a worksheet.

A triangular prism is a three-dimensional shape with two triangles as its bases and rectangular sides connecting them. The volume of a triangular prism is calculated by multiplying the area of one of the triangles by the height of the prism. This can be represented mathematically as:

Volume = Area of Triangle x Height

To calculate the area of the triangle, we need to know the length of its base and height. Once we have these values, we can use the formula:

Area = (base x height) / 2

Using this information, let's look at an example problem.

Example Problem

Find the volume of a triangular prism with a base area of 12 square inches and a height of 8 inches.

To solve this problem, we need to find the area of one of the triangles that make up the prism. Since the base area is given as 12 square inches, we can use the formula:

Area = (base x height) / 2

= (12 x 8) / 2

= 96 / 2

= 48 square inches

Now that we have the area of the triangle, we can calculate the volume of the prism by multiplying it by the height:

Volume = Area of Triangle x Height

= 48 square inches x 8 inches

= 384 cubic inches

Therefore, the volume of the triangular prism is 384 cubic inches.

In this article, we have seen how to calculate the volume of a triangular prism using a worksheet. We started by defining what a triangular prism is and then moved on to calculating its area and volume. Using an example problem, we showed how to apply the formulas to find the volume of a specific prism. With practice, students can become more confident in their ability to solve problems involving volumes of triangular prisms.

Additional Resources

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Mathworksheets4kids volume of triangular prism answers