Understanding Surface Area of a Square Pyramid

The video tutorial explains how to calculate the surface area of a square pyramid trophy covered in gold foil. It begins with the problem statement, then unfolds the pyramid into a 2D representation to visualize the base and triangular faces. The tutorial guides through calculating the area of the base and each triangular face, and finally sums these areas to find the total surface area required for the gold foil.

What shape is Akira's trophy?

• A square pyramid

• A cylinder

• A rectangular prism

• A triangular prism

What does the surface area of the pyramid include?

• Only the base

• Neither the base nor the triangular sides

• Only the triangular sides

• Both the base and the triangular sides

How is the pyramid visualized to calculate the surface area?

• By rotating it in 3D

• By folding it into a cube

• By unfolding it into a flat shape

• By shrinking it to a point

What are the dimensions of the square base of the pyramid?

• 3 inches by 3 inches

• 4 inches by 4 inches

• 5 inches by 5 inches

• 6 inches by 6 inches

What is the height of each triangular face of the pyramid?

• 3 inches

• 4 inches

• 5 inches

• 6 inches

How is the area of one triangular face calculated?

• Base plus height

• Base times height

• Base times height divided by 2

• Base minus height

What is the area of the square base?

• 12 square inches

• 9 square inches

• 6 square inches

• 15 square inches

How many triangular faces does the pyramid have?

• 2

• 5

• 3

• 4

What is the total area of all the triangular faces combined?

• 36 square inches

• 45 square inches

• 27 square inches

• 18 square inches

What is the total surface area of the pyramid?

• 45 square inches

• 54 square inches

• 36 square inches

• 30 square inches