Exploring Surface Area of Prisms

This video tutorial covers the concept of surface area for prisms, focusing on both rectangular and triangular prisms. It explains the formulas used to calculate the surface area of these shapes and provides step-by-step examples. The tutorial also includes practical applications, such as determining if a given amount of paint is sufficient to cover a toy box. The video emphasizes the importance of using square units for surface area and provides a detailed explanation of how to handle different dimensions and units.

What units are used to measure the surface area of a three-dimensional figure?

• Circular units

• Linear units

• Square units

• Cubic units

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

• 2(l + w + h)

• lwh

• 2(lw + lh + wh)

• lw + lh + wh

If a rectangular prism has dimensions 9 inches by 7 inches by 13 inches, what is its surface area?

• 542 square inches

• 256 square inches

• 130 square inches

• 350 square inches

What is the surface area of a cube with side length 11 mm?

• 484 square millimeters

• 726 square millimeters

• 242 square millimeters

• 121 square millimeters

How much paint is needed to cover a toy box that has a surface area of 62 square feet?

• Less than one quart

• Exactly one quart

• More than one quart

• Two quarts

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

• Sum of the areas of all faces

• Base area multiplied by height

• Length times width times height

• Base perimeter times height

What is the total surface area of a triangular prism with base dimensions 4m by 3m and side dimensions 4m by 6m, 6m by 3m, and 5m by 6m?

• 84 square meters

• 64 square meters

• 74 square meters

• 94 square meters

For a triangular prism with a height of 4 cm from base to base, what is the surface area if the triangle base is 3 cm and height is 2 cm?

• 48 square centimeters

• 58 square centimeters

• 28 square centimeters

• 38 square centimeters

What is the surface area of a triangular prism with base dimensions 12 inches by 5 inches and side dimensions 13 inches by 4 inches, 5 inches by 4 inches, and 12 inches by 4 inches?

• 180 square inches

• 160 square inches

• 200 square inches

• 140 square inches

If a shipping container's dimensions include a triangle with a base of 4 inches and height of 3 inches, and rectangle sides of 14 inches by 3.6 inches, what is the total surface area?

• 188.8 square inches

• 148.8 square inches

• 128.8 square inches

• 168.8 square inches