Surface Area of Prisms and Composite Figures

The video tutorial explains how to calculate the surface area of composite figures, specifically focusing on rectangular prisms. It begins with an introduction to composite figures and the formula for finding the surface area of rectangular prisms. The instructor then demonstrates step-by-step calculations for two separate rectangular prisms and explains how to adjust these calculations for composite figures. The tutorial concludes with the final surface area calculation for the composite figure, ensuring students understand the process and can apply it to similar problems.

What is a composite figure?

• A figure made up of only one shape

• A figure made up of multiple shapes

• A figure that is always a pyramid

• A figure that is always a cube

What type of shapes are discussed in the video?

• Pyramids

• Rectangular prisms

• Spheres

• Cylinders

What is the formula for the surface area of a rectangular prism?

• 2 × (length + width + height)

• length × width × height

• height × length × width

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

What is the first step in finding the surface area of a rectangular prism?

• Divide by the number of dimensions

• Add all dimensions together

• Subtract the smallest dimension

• Multiply each pair of dimensions

Which dimensions are used in the example for the top prism?

• 6, 3, and 8

• 5, 5, and 5

• 12, 8, and 2

• 10, 10, and 10

What is the first step in calculating the surface area of the top prism?

• Divide by the number of dimensions

• Add all dimensions together

• Multiply each pair of dimensions

• Subtract the smallest dimension

What is the surface area of the top prism before doubling?

• 90 cm²

• 180 cm²

• 360 cm²

• 45 cm²

What is the final surface area of the top prism after doubling?

• 270 cm²

• 90 cm²

• 180 cm²

• 360 cm²

What is the purpose of doubling the calculated surface area?

• To simplify the formula

• To account for both sides of the prism

• To make the calculation easier

• To reduce the number of dimensions

What is the result of multiplying 6 by 3 in the top prism calculation?

• 48

• 36

• 24

• 18