Surface Area of Prisms

This video tutorial covers the concept of surface area, focusing on rectangular prisms. It begins with an introduction to the necessary prerequisites, such as understanding rectangular prisms, rectangles, triangles, and perimeter. The tutorial then explains the difference between lateral and surface area, providing examples and calculations. It includes practice problems to reinforce learning and explores advanced concepts like composite figures. The video emphasizes the importance of using formulas and offers tips for solving complex problems.

What is the primary focus of this lesson on surface area?

• Learning about the circumference of cylinders

• Working with surface area of rectangular prisms

• Calculating the perimeter of circles

• Understanding the volume of spheres

Which of the following is NOT included in the calculation of lateral area?

• The height of the prism

• The top and bottom bases of the prism

• The front and back of the prism

• The sides of the prism

How do you calculate the surface area of a rectangular prism?

• Divide the total area by the number of faces

• Add the areas of all the faces including the bases

• Multiply the perimeter by the height

• Subtract the lateral area from the total area

In the jewelry box example, what is the first step in finding the surface area?

• Calculate the volume of the box

• Find the perimeter of the base

• Determine the height of the box

• Measure the diagonal of the box

What is the formula used to calculate the surface area of a prism?

• Base area times height

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

• Perimeter plus area of the bases

• Length times width times height

In the spaghetti box problem, what is the height of the box?

• 2 inches

• 9 inches

• 3 inches

• 1.5 inches

What is the first step in solving the spaghetti box problem?

• Determine the surface area of the top

• Find the perimeter of the base

• Measure the diagonal of the box

• Calculate the volume of the box

In the birdhouse example, what type of prism is used for the top part?

• Hexagonal prism

• Cylindrical prism

• Triangular prism

• Rectangular prism

What is excluded from the surface area calculation in the birdhouse problem?

• The bottom of the rectangular prism

• The front of the triangular prism

• The sides of the triangular prism

• The top of the rectangular prism

In the plant stand problem, how many sides of the larger prism are stained?

• Four sides

• Five sides

• Six sides

• Three sides