Surface Area and Volume Concepts

This video tutorial covers Go Math Module 15, Lesson 115.1, focusing on nets and surface area. It begins with an introduction to key vocabulary terms such as pyramid, net, and surface area. The lesson explains how to use nets to find the surface area of pyramids and rectangular prisms. It includes step-by-step calculations and practice problems to reinforce understanding. The video concludes with a discussion on rectangular prisms, highlighting the differences in calculating their surface area compared to pyramids.

What is a pyramid in terms of its base and sides?

• A 3D figure with a square base and rectangular sides

• A 2D figure with a polygon base and triangular sides

• A 3D figure with a polygon base and triangular sides

• A 3D figure with a circular base and curved sides

How is a net related to a 3D figure?

• It is a 3D model of a figure

• It is a 2D drawing of a figure

• It is a 2D pattern that can be folded into a 3D figure

• It is a 3D representation of a figure

What is the formula for finding the area of a triangle?

• Area = base + height

• Area = base x height x 2

• Area = 1/2 x base x height

• Area = base x height

If a pyramid has a base of 16 inches and a height of 17 inches, what is the area of one of its triangular sides?

• 128 inches squared

• 136 inches squared

• 144 inches squared

• 152 inches squared

In the practice problem, what is the total surface area of the pyramid with a base of 15 inches and a height of 20 inches?

• 825 inches squared

• 800 inches squared

• 850 inches squared

• 875 inches squared

What shape is a rectangular prism most similar to?

• A 2D triangle

• A 3D circle

• A 3D rectangle

• A 2D square

When calculating the surface area of a rectangular prism, why is it helpful to color-code the sides?

• To distinguish between the front and back

• To separate the top and bottom

• To easily identify and calculate equivalent sides

• To make it look more colorful

What is the surface area of a rectangular prism with dimensions 5x3x2?

• 62 square feet

• 64 square feet

• 66 square feet

• 60 square feet

How do you calculate the area of a rectangle?

• Area = base x height

• Area = base x height x 2

• Area = base + height

• Area = 1/2 x base x height

What is the final step in calculating the surface area of a rectangular prism?

• Adding the areas of all sides

• Subtracting the areas of all sides

• Dividing the areas of all sides

• Multiplying the areas of all sides