Surface Area and Volume of Prisms

This lesson covers the calculation of surface areas for right prisms. It begins with an introduction to the problem, followed by detailed steps to calculate the areas of triangles and rectangles that make up the prism. The lesson then demonstrates how to sum these areas to find the total surface area. A second, more complex problem involving a rectangular prism is also explained, highlighting the process of breaking down the shape into simpler components for easier calculation.

What is the main task described in Lesson 23?

• To determine and explain the surface area of right prisms

• To find the volume of right prisms

• To calculate the perimeter of right prisms

• To identify different types of prisms

Which dimensions are given for the first right prism?

• 7 ft, 9 ft, 13 ft, 11 ft

• 6 ft, 10 ft, 14 ft, 12 ft

• 8 ft, 11 ft, 16 ft, 14 ft

• 5 ft, 12 ft, 15 ft, 13 ft

How many triangles are there in the first prism?

• Three

• Two

• One

• Four

What is the formula used to calculate the area of a triangle?

• Base + Height

• 1/2 * Base * Height

• Base * Height

• Base - Height

What is the area of the top triangle in the first prism?

• 60 ft²

• 30 ft²

• 120 ft²

• 90 ft²

What is the area of the side labeled 15 ft by 12 ft in the first prism?

• 200 ft²

• 150 ft²

• 180 ft²

• 220 ft²

What is the total surface area of the first prism?

• 450 ft²

• 400 ft²

• 550 ft²

• 510 ft²

What is the shape of the second prism discussed?

• Hexagonal prism

• Triangular prism

• Rectangular prism

• Pentagonal prism

How is the top of the second prism divided for calculation?

• Into two rectangles

• Into four rectangles

• Into five rectangles

• Into three rectangles

What is the area of the top and bottom combined in the second prism?

• 100 ft²

• 160 ft²

• 120 ft²

• 140 ft²