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 examples using a triangular prism and a rectangular prism, providing step-by-step calculations for both surface area and volume. The video concludes with a summary of the calculations and encourages viewers to practice these concepts.

What is a composite shape?

• A shape that cannot be measured

• A shape made by combining two or more shapes

• A shape that is always circular

• A shape with only one side

When calculating the surface area of composite shapes, why do we subtract the area where they touch?

• Because it is not part of the outside area

• Because it is the largest area

• Because it is the most colorful area

• Because it is the smallest area

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

• Length times width times height

• Base times height divided by two

• Perimeter of the base times height plus two times the area of the base

• Circumference times diameter

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

• The triangle

• The rectangle

• The square

• The circle

How do you calculate the volume of a prism?

• Base times height divided by two

• Perimeter of the base times height

• Area of the base times the height of the prism

• Length times width

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

• Only the bottom side

• Any side

• Only the top side

• Only the longest side

What is the total volume of the composite shape in the example?

• 18,000 cm³

• 12,000 cm³

• 15,840 cm³

• 10,000 cm³

What is the total surface area of the composite shape in the example?

• 3,720 cm²

• 2,500 cm²

• 3,000 cm²

• 4,000 cm²

Why is it important to double the area where the shapes touch when calculating the surface area?

• Because both the top and bottom areas are not painted

• Because it is the smallest area

• Because it is the most colorful area

• Because it is the largest area

What is the significance of the 'Big B' in the calculations?

• It represents the area of the base

• It represents the height of the prism

• It represents the perimeter of the base

• It represents the volume of the prism