Surface Area of Composite Figures

The video tutorial explains how to find the composite surface area of a structure made up of a rectangular prism and a square pyramid. It begins by identifying the two 3D figures involved, then calculates the surface area of each figure separately using formulas. For the rectangular prism, the formula involves length, width, and height, while for the square pyramid, the focus is on the triangular sides. The tutorial concludes by combining the surface areas and subtracting the area of the overlapping square to find the total composite surface area.

What are the two 3D figures involved in the composite surface area problem?

• Cube and square pyramid

• Rectangular prism and square pyramid

• Cylinder and cone

• Rectangular prism and triangular prism

What is the formula used to calculate the surface area of a rectangular prism?

• 2(length × width + width × height + height × length)

• length × width + width × height + height × length

• length × width × height

• 2(length + width + height)

What are the dimensions of the rectangular prism used in the example?

• Length: 10, Width: 10, Height: 12

• Length: 10, Width: 12, Height: 12

• Length: 12, Width: 12, Height: 10

• Length: 12, Width: 10, Height: 12

How is the surface area of the square pyramid calculated?

• By using the formula for a cube

• By calculating the area of the base and adding it to the area of the triangles

• By calculating the area of one triangle and multiplying by four

• By using the formula for a cylinder

What is the base and height of the triangle used in the square pyramid calculation?

• Base: 9, Height: 12

• Base: 12, Height: 10

• Base: 10, Height: 12

• Base: 12, Height: 9

Why is the base of the square pyramid not included in the surface area calculation?

• Because it is too small

• Because it is not visible

• Because it is not a square

• Because it is covered by the rectangular prism

What is the area of the square that needs to be subtracted due to overlap?

• 54 square inches

• 768 square inches

• 216 square inches

• 144 square inches

What is the final composite surface area of the combined figures?

• 912 square inches

• 840 square inches

• 768 square inches

• 1024 square inches

What is the surface area of the rectangular prism before considering the overlap?

• 1024 square inches

• 912 square inches

• 768 square inches

• 840 square inches

What is the surface area of the square pyramid before considering the overlap?

• 54 square inches

• 768 square inches

• 216 square inches

• 144 square inches