Surface Area of Pyramids

The video tutorial covers the calculation of surface area for pyramids, focusing on square and triangular pyramids. It begins with an introduction to the concept, followed by detailed examples of calculating the surface area for both square and triangular pyramids. The tutorial emphasizes the importance of understanding the base and triangular sides of the pyramids, using nets to visualize and calculate the areas. The session concludes with a summary and a brief mention of homework assignments.

What is a unique characteristic of all the sides of a pyramid?

• All sides are circles.

• All sides are triangles.

• All sides are rectangles.

• All sides are squares.

How do you find the surface area of a square pyramid?

• Add the area of the base and the area of the sides.

• Multiply the area of the base by the height.

• Divide the area of the base by the number of sides.

• Subtract the area of the base from the area of the sides.

In the example of a square pyramid, if the base is 4 cm and the height is 6 cm, what is the area of one triangular side?

• 12 cm²

• 24 cm²

• 16 cm²

• 8 cm²

What is the total surface area of a square pyramid with a base of 4 cm and height of 6 cm?

• 80 cm²

• 48 cm²

• 64 cm²

• 32 cm²

How do you find the surface area of a triangular pyramid?

• Divide the area of the base by the number of sides.

• Subtract the area of the base from the total area.

• Find the area of the base and add the areas of the triangular sides.

• Calculate the area of the base and multiply by the height.

In the triangular pyramid example, what is the area of the base triangle if the base is 10 cm and height is 8.7 cm?

• 21.75 cm²

• 87 cm²

• 43.5 cm²

• 17.4 cm²

What is the total surface area of the triangular pyramid in the example with a base height of 10 cm and side height of 14 cm?

• 253.5 m²

• 150 m²

• 210 m²

• 300 m²

In the advanced example, what is the area of one of the red triangles with a base of 15 cm and height of 13 cm?

• 97.5 cm²

• 195 cm²

• 65 cm²

• 130 cm²

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

• 322.5 inches²

• 97.5 inches²

• 150 inches²

• 225 inches²

What is the homework assignment related to the surface area of pyramids?

• Solve 5 math problems.

• Write an essay on pyramids.

• Complete 9 questions on Big Ideas.

• Create a model of a pyramid.