Understanding the Surface Area of a Triangular Pyramid

This video tutorial from Moomoomath and Science explains how to find the total surface area of a triangular pyramid. It begins by identifying the pyramid's base shape and introduces tools like a grid and a net to help visualize and organize data. The video then provides a detailed calculation of the surface area, using the formula for the area of a triangle. It covers the calculation for both the base and the perimeter triangles, and concludes by summing up the total surface area. The tutorial emphasizes the importance of organizing data and using formulas correctly.

What is the defining feature of a triangular pyramid?

• It has a rectangular base.

• It has a triangular base.

• It has a square base.

• It has a circular base.

What tools are mentioned to help visualize and organize data for surface area?

• A compass and a protractor

• A spreadsheet and a graph

• A grid and a net

• A calculator and a ruler

What is the formula used to calculate the area of a triangle?

• Base plus height

• Base times height

• Base divided by height

• 1/2 base times height

What is the height of the base triangle in the example?

• 6.5 cm

• 7.5 cm

• 7 cm

• 8.5 cm

How many triangles make up the triangular pyramid in the example?

• Five

• Two

• Three

• Four

What is the height of the perimeter triangles in the example?

• 8.5 cm

• 7.5 cm

• 7 cm

• 6 cm

How many perimeter triangles are there in the example?

• Three

• Four

• Two

• One

What is the total surface area of the triangular pyramid in the example?

• 120.125 cm²

• 121.125 cm²

• 123.125 cm²

• 122.125 cm²

What is the unit of measurement for surface area?

• Centimeters

• Meters squared

• Centimeters squared

• Meters

What is the purpose of the net in the surface area calculation?

• To measure angles

• To unfold and see each side

• To draw the pyramid

• To calculate volume