Surface Area and Volume of Prisms

This lesson covers how to calculate the surface area and volume of composite shapes, specifically prisms. It explains the process of finding the surface area and volume of individual shapes and then combining them, with a focus on subtracting the area where the shapes touch for surface area calculations. The lesson includes detailed calculations for both triangular and rectangular prisms, emphasizing the importance of understanding the base, height, and area in these calculations.

What is a composite shape?

• A shape with no volume

• A shape that cannot be divided

• A shape with only one side

• A shape made by combining two or more shapes

When calculating the surface area of a composite shape, why must the area where the shapes touch be subtracted twice?

• Because it is the largest area

• Because it is the smallest area

• Because it is not part of the outside area

• Because it is part of the outside area

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

• Finding the volume

• Finding the height of the prism

• Finding the area of the base

• Finding the perimeter of the base

In a triangular prism, what is the base used for calculations?

• Any side of the prism

• The rectangle

• The triangle

• The top face

What is the formula for the volume of a prism?

• Area of the base times height

• Perimeter of the base times height

• Length times width times height

• Base times height divided by two

For a rectangular prism, which side can be chosen as the base?

• Only the top side

• Only the bottom side

• Any side

• Only the longest side

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

• 108 cm

• 84 cm

• 48 cm

• 60 cm

How is the total volume of the composite shape calculated?

• By subtracting the volumes of each shape

• By adding the volumes of each shape

• By dividing the volumes of each shape

• By multiplying the volumes of each shape

What adjustment is made to the total surface area of the composite shape?

• Subtracting the area where they touch twice

• Adding the area where they touch

• Dividing the area where they touch

• Multiplying the area where they touch

What is the final total surface area of the composite shape?

• 3,384 cm squared

• 1,776 cm squared

• 3,720 cm squared

• 2,880 cm squared