Learn how to determine the surface area of a triangular pyramid

The video tutorial explains how to determine the lateral surface area of a pyramid with a regular polygon base, specifically a triangle. It covers the formula for lateral surface area, visualizes the net of the pyramid, and calculates the perimeter and height. The tutorial also discusses finding the area of the base triangle using trigonometry and combines these calculations to find the total surface area.

What is the formula for calculating the lateral surface area of a regular polygon?

• 1/3 perimeter times height

• Base times height

• Perimeter times height

• 1/2 perimeter times height

If each side of a triangular base is 6 units, what is the perimeter of the base?

• 18 units

• 12 units

• 6 units

• 24 units

What is the height of the sides in the given problem?

• 6 units

• 9 units

• 12 units

• 18 units

Which trigonometric function is used to find the height of the triangle?

• Sine

• Tangent

• Cotangent

• Cosine

What is the approximate height of the triangle when using tangent of 30 degrees?

• 4.5

• 6.0

• 3.0

• 5.2

How do you calculate the total surface area of the pyramid?

• Divide the lateral surface area by the area of the base

• Add the lateral surface area and the area of the base

• Multiply the lateral surface area by the area of the base

• Subtract the area of the base from the lateral surface area

What is the final surface area of the pyramid in the example?

• 150 meters squared

• 139.2 meters squared

• 108 meters squared

• 120 meters squared