Composite Shapes and Their Properties

This lesson covers how to calculate the surface area and volume of composite shapes, specifically focusing on prisms. It explains the process of finding the surface area and volume of individual shapes and then combining them, with a special note on subtracting the area where shapes touch for surface area calculations. The lesson includes detailed steps for calculating these measurements for both triangular and rectangular prisms, concluding with the total calculations for the composite shape.

What is a composite shape?

• A shape that cannot be measured.

• A shape with only one side.

• A shape made by combining two or more shapes.

• A shape that is always circular.

When calculating the surface area of a composite shape, what must be subtracted?

• The perimeter of the shapes.

• The area where the shapes touch, multiplied by two.

• The volume of the shapes.

• The area of the largest shape.

What two shapes make up the composite shape in the example?

• Two triangular prisms.

• A triangular prism and a rectangular prism.

• A cube and a sphere.

• Two rectangular prisms.

What is the formula for the volume of a prism?

• Perimeter of the base times height.

• Area of the base times height.

• Base times height divided by two.

• Length times width times height.

In a triangular prism, what must be used as the base?

• Any side of the prism.

• The longest side.

• The rectangle.

• The triangle.

How is the perimeter of the base of a triangular prism calculated?

• By multiplying the base by the height.

• By adding the lengths of all sides of the triangle.

• By adding the lengths of the two longest sides.

• By subtracting the height from the base.

What is the height of the triangular prism in the example?

• 17 cm

• 24 cm

• 30 cm

• 8 cm

What is the area of the base of the rectangular prism in the example?

• 720 square cm

• 480 square cm

• 600 square cm

• 840 square cm

How is the total volume of the composite shape calculated?

• By multiplying the volumes of the individual shapes.

• By adding the volumes of the individual shapes.

• By dividing the volumes of the individual shapes.

• By subtracting the volumes of the individual shapes.

What is the total surface area of the composite shape?

• 3,384 cm squared

• 2,880 cm squared

• 3,720 cm squared

• 1,776 cm squared