Surface Area and Volume of Triangular Prisms

This video tutorial explains how to calculate the total surface area of triangular prisms. It introduces the formula P * H + 2 * B, where P is the perimeter of the base, H is the height of the prism, and B is the area of the base. The video walks through the steps of calculating the perimeter and area of the triangular base and then using these values to find the total surface area. The example provided involves a triangular base with sides 3, 4, and 5, and a prism height of 11, resulting in a total surface area of 144 cm squared.

What is the formula for calculating the total surface area of a triangular prism?

• 2 * P + H * B

• P * B + 2 * H

• P * H + 2 * B

• P + H + 2 * B

In the formula for the surface area of a triangular prism, what does 'P' represent?

• Height of the prism

• Area of the base

• Volume of the prism

• Perimeter of the base

Why is the base of a triangular prism considered a triangle?

• Because it sits on a rectangular base

• Because it is a three-dimensional shape

• Because the prism is named after the triangle

• Because the triangles are opposite each other

How do you calculate the perimeter of the triangular base in the given example?

• Divide 3 by 4 and multiply by 5

• Multiply 3, 4, and 5

• Add 3, 4, and 5

• Subtract 3 from 4 and add 5

What is the height of the prism in the example provided?

• 13

• 10

• 11

• 12

How is the area of the triangular base calculated in the example?

• Subtract 3 from 4 and multiply by 2

• Add 4 and 3 and divide by 2

• Multiply 4 by 3 and add 2

• Multiply 4 by 3 and divide by 2

What is the result of multiplying the perimeter by the height in the example?

• 156

• 120

• 132

• 144

What is the final total surface area of the triangular prism in the example?

• 132 cm squared

• 144 cm squared

• 156 cm squared

• 168 cm squared

What is the result of multiplying 2 by the area of the base in the example?

• 10

• 12

• 14

• 16