Volume and Surface Area of Prisms

Mr. Dell explains how to find the surface area and volume of a prism, using a problem from CPM's course two. He defines surface area as the sum of the areas of all faces of a shape and volume as the space inside the shape. He uses a square-based prism with an 8-inch side and a 12-inch height as an example. The surface area is calculated by adding the areas of the square base and the rectangular sides, while the volume is found by multiplying the base area by the height. The video provides a step-by-step guide to these calculations.

What is the primary focus of the problem discussed in the video?

• Finding the perimeter of a circle

• Calculating the surface area and volume of a prism

• Understanding the properties of a triangle

• Learning about the Pythagorean theorem

How is the surface area of a prism defined?

• The volume of the prism

• The length of its longest side

• The sum of the areas of all its faces

• The perimeter of its base

What is the volume of a prism?

• The amount of space inside the prism

• The sum of the lengths of all its edges

• The height of the prism

• The total area of its base

How many square faces does the example prism have?

• One

• Two

• Four

• Three

What is the area of each square face in the example prism?

• 64 square inches

• 32 square inches

• 48 square inches

• 80 square inches

How many rectangular faces does the example prism have?

• Two

• Three

• Four

• Five

What is the total surface area of the example prism?

• 576 square inches

• 448 square inches

• 512 square inches

• 384 square inches

What is the base area of the example prism used to calculate volume?

• 32 square inches

• 48 square inches

• 64 square inches

• 80 square inches

How is the volume of the prism calculated?

• By dividing the surface area by the height

• By multiplying the base area by the height

• By adding the areas of all faces

• By subtracting the base area from the surface area

What is the volume of the example prism?

• 640 cubic inches

• 896 cubic inches

• 512 cubic inches

• 768 cubic inches