Composite Shapes and Their Properties

This tutorial video explains how to calculate the surface area and volume of a composite shape consisting of a triangular prism on top and a rectangular prism on the bottom. The instructor breaks down the process into calculating the surface area of the roof and base separately, then adds them together. The video also covers the volume calculation by determining the base area and multiplying by the length of the prism. The tutorial provides step-by-step guidance with numerical examples to help students understand the concepts.

What are the two shapes that make up the composite shape discussed in the tutorial?

• Sphere and cone

• Cylinder and cube

• Triangular prism and rectangular prism

• Pyramid and cylinder

How is the area of the front triangle of the triangular prism calculated?

• Base times height divided by two

• Length times width times height

• Length times width

• Base times height

What is the area of the side roof of the triangular prism?

• 1.2 square yards

• 1.8 square yards

• 2.4 square yards

• 3.6 square yards

Which wall of the rectangular prism has an area of 2.24 square yards?

• Floor

• Back wall

• Front wall

• Right wall

What is the area of the floor of the rectangular prism?

• 3.36 square yards

• 2.4 square yards

• 2.24 square yards

• 3.84 square yards

What is the total surface area of the composite shape?

• 18.56 square yards

• 21.56 square yards

• 24.56 square yards

• 27.56 square yards

What is the base area of the triangular prism used in the volume calculation?

• 2.4 times 1.4

• 1.4 times 0.5

• 1.4 times 1.6

• 2.4 times 0.5

How is the volume of the rectangular prism calculated?

• Base area times height

• Length times width times height

• Base times height divided by two

• Length times width

What is the total volume of the composite shape?

• 6.216 cubic yards

• 7.216 cubic yards

• 8.216 cubic yards

• 5.216 cubic yards

What is the length of the prism used in the volume calculation of the triangular prism?

• 1.4

• 2.4

• 0.5

• 1.6