Composite Shapes: Surface Area and Volume

This tutorial video explains how to calculate the surface area and volume of a composite shape consisting of a triangular prism on top of a rectangular prism. The instructor breaks down the process into calculating the surface area of each component separately and then summing them up. The video also covers the volume calculation by determining the base area and multiplying it by the height for each prism. The tutorial provides a step-by-step guide with numerical examples to help students understand the concepts of surface area and volume in composite shapes.

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

• Triangular prism and rectangular prism

• Cylinder and cube

• Pyramid and cylinder

• Sphere and cone

How is the area of a triangle calculated in the context of the triangular prism?

• Length times width times height

• Length times width

• Base times height divided by two

• Base times height

Which part of the triangular prism is not included in the surface area calculation?

• Rectangle separating the prisms

• Side roof

• Back triangle

• Front triangle

What is the area of the right wall of the rectangular prism?

• 1.4 times 1.6

• 2.4 times 1.6

• 2.4 times 1.4

• 1.3 times 1.4

How many different shapes are considered for the bottom part of the composite shape?

• Four

• Three

• Six

• Five

What is the total surface area of the composite shape?

• 30.56 square yards

• 25.56 square yards

• 21.56 square yards

• 18.56 square yards

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

• The area of the triangle

• The width of the prism

• The length of the prism

• The surface it sits on

How is the volume of the rectangular prism calculated?

• Length times width times height

• Length times width

• Base times height

• Base times height divided by two

What is the total volume of the composite shape?

• 8.216 cubic yards

• 7.216 cubic yards

• 5.216 cubic yards

• 6.216 cubic yards

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

• 2.4

• 1.4

• 0.5

• 1.6