Surface Area and Volume Calculations

Mr. Wooly guides middle school students through calculating the surface area of various geometric shapes, including pyramids and prisms. The video emphasizes understanding the formulas for surface area and applying them to different shapes, such as square-based pyramids, triangular pyramids, and trapezoid prisms. Students are reminded of the importance of not sharing the video outside the classroom.

What is the surface area of a pyramid with a square base of 6 cm and triangular sides with a base of 6 cm and height of 7 cm?

• 150 square centimeters

• 100 square centimeters

• 84 square centimeters

• 120 square centimeters

How many visible faces are there in a solid made up of cubes with each edge measuring 0.25 inches?

• 56

• 36

• 66

• 46

What is the total surface area of a triangular pyramid with a base of 9 cm and height of 7.8 cm?

• 130.4 square centimeters

• 120.4 square centimeters

• 140.4 square centimeters

• 150.4 square centimeters

For a square-based pyramid with a base of 12 cm and triangular sides with a height of 14.75 cm, what is the total surface area?

• 550 square inches

• 498 square inches

• 400 square inches

• 450 square inches

What is the area of the left rectangle in the trapezoidal prism with dimensions 4 cm by 9 cm?

• 50 square centimeters

• 45 square centimeters

• 40 square centimeters

• 36 square centimeters

How do you calculate the area of a trapezoid in the trapezoidal prism?

• Add the lengths of the parallel sides, divide by two, and multiply by the height

• Multiply the lengths of the parallel sides and divide by the height

• Add the lengths of the parallel sides and multiply by the height

• Multiply the lengths of the parallel sides and add the height

What is the total surface area of the trapezoidal prism?

• 226.55 square centimeters

• 200.55 square centimeters

• 250.55 square centimeters

• 300.55 square centimeters

What is the area of the top rectangle in the trapezoidal prism with dimensions 6.5 cm by 9 cm?

• 65.5 square centimeters

• 55.5 square centimeters

• 60.5 square centimeters

• 58.5 square centimeters

What is the area of the bottom rectangle in the trapezoidal prism with dimensions 9 cm by 5.25 cm?

• 47.25 square centimeters

• 50.25 square centimeters

• 55.25 square centimeters

• 45.25 square centimeters

How many identical trapezoids are there in the trapezoidal prism?

• 2

• 4

• 5

• 3