Surface Area of Prisms and Cubes

The video tutorial covers lesson 18 on determining the surface area of three-dimensional figures, focusing on rectangular prisms and cubes. It begins with an introduction to the topic, followed by detailed steps to calculate the surface area of a rectangular prism without using nets. The tutorial includes examples and exercises to reinforce learning. It also explains the surface area calculation for cubes and compares the formulas for cubes and rectangular prisms, highlighting the differences and when each formula is applicable.

What is the primary focus of lesson 18?

• Finding the perimeter of polygons

• Determining the surface area of three-dimensional figures

• Measuring angles in triangles

• Calculating the volume of spheres

When calculating the surface area of a rectangular prism, what is the formula for the area of a rectangle?

• Length times height

• Length plus width

• Length times width

• Width times height

How many times do you calculate the area of the top face when finding the surface area of a rectangular prism?

• Once

• Three times

• Four times

• Twice

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

• Length + width + height

• 2(length + width + height)

• Length * width * height

• 2(length * width + length * height + width * height)

In the example problem, what is the surface area of a rectangular prism with dimensions 12, 2, and 3?

• 100 inches squared

• 150 inches squared

• 132 inches squared

• 200 inches squared

What is the surface area of a rectangular prism with dimensions 8, 6, and 22?

• 712 meters squared

• 800 meters squared

• 600 meters squared

• 500 meters squared

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

• 8 times the side squared

• 2 times the side squared

• 4 times the side squared

• 6 times the side squared

Why does the formula for the surface area of a cube work?

• Only two faces are the same

• All six faces are different

• All six faces are the same

• Only four faces are the same

Why is it not a good idea to only remember the formula for the surface area of a cube?

• It is only for spheres

• It is not accurate

• It does not apply to rectangular prisms

• It is too complex

Which formula works for both cubes and rectangular prisms?

• Cube formula

• Sphere formula

• Cylinder formula

• Rectangular prism formula