Surface Area and Volume Concepts

Emily Kern, a math instructional coach, explains how to find the surface area of a trapezoidal prism. She introduces the concept of surface area as the space needed to cover a 3D figure, calculated in square units. Two methods are discussed: using the net of the prism to find the area of each face and adding them together, and using the formula S = PH + 2B, where P is the perimeter and B is the area of the base. The video provides step-by-step calculations for both methods, including examples of finding the area of rectangles and trapezoids.

Who is the speaker in the video?

• Sarah Lee

• John Doe

• Emily Kern

• Michael Smith

What is a trapezoidal prism?

• A 2D shape with four equal sides

• A 3D figure with circular bases

• A 3D figure with two parallel trapezoidal bases

• A 2D shape with two parallel sides

What does the surface area of a 3D shape represent?

• The volume of the shape

• The length of the edges of the shape

• The amount of space inside the shape

• The amount of space needed to cover the shape

What is a net in the context of 3D shapes?

• A 2D representation of a 3D shape

• A 3D model of a shape

• A formula to calculate volume

• A tool to measure angles

How many rectangles are in the net of a trapezoidal prism?

• Four

• Five

• Three

• Two

What is the area of a 5x5 rectangle?

• 20

• 35

• 25

• 30

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

• Base1 x Base2 x Height

• Base1 + Base2 + Height

• 1/2 x (Base1 + Base2) x Height

• Base x Height

What is the area of a trapezoid with bases 6 and 12, and height 4?

• 42

• 36

• 30

• 24

What does 'P' represent in the formula S = PH + 2B?

• Volume of the prism

• Height of the prism

• Area of the base

• Perimeter of the base

What does 'B' represent in the formula S = PH + 2B?

• Height of the prism

• Perimeter of the base

• Volume of the prism

• Area of the base