Calculating Surface Area of Rectangular Prisms

This video tutorial introduces sixth-grade students to the concept of surface area, particularly focusing on rectangular prisms. It begins by differentiating between volume and surface area, using cubes and wrapping paper as analogies. The tutorial then provides a detailed explanation of how to calculate the surface area of rectangular prisms, including step-by-step examples and practice problems. Advanced calculations with different dimensions are also covered, concluding with a summary and additional practice exercises.

What is the primary difference between volume and surface area as described in the video?

• Volume is the space inside, while surface area is the external coverage.

• Volume and surface area both measure the external space.

• Surface area is measured in cubic units, while volume is in square units.

• Both are measured using the same units.

How many faces does a rectangular prism have?

• Ten

• Eight

• Six

• Four

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CCSS.6.G.A.4

If one face of a rectangular prism is 7 by 6 meters, what is the area of that face?

• 56 square meters

• 48 square meters

• 13 square meters

• 42 square meters

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CCSS.7.G.B.6

In a scenario where a rectangular prism has two square faces, what is the area of one of these squares if the side length is 10 inches?

• 200 square inches

• 20 square inches

• 10 square inches

• 100 square inches

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CCSS.7.G.B.6

What is the total surface area of a rectangular prism with two 100 square inch faces and four 150 square inch faces?

• 700 square inches

• 800 square inches

• 600 square inches

• 500 square inches

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CCSS.7.G.B.6

How do you calculate the surface area of a rectangular prism using dimensions in decimals?

• Multiply length by width and height and double it

• None of the above

• Add all dimensions and square the result

• Multiply each dimension by each other, find the area of each face, and sum them

Tags

CCSS.7.G.B.6

What is the surface area of a cube with each side measuring 2 feet?

• 4 square feet

• 8 square feet

• 24 square feet

• 16 square feet

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CCSS.6.G.A.4

If a rectangular prism has a face of 15 by 2 centimeters, what is the area of this face?

• 28 square centimeters

• 34 square centimeters

• 17 square centimeters

• 30 square centimeters

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CCSS.7.G.B.6

For a rectangular prism with dimensions 3 by 4 by 6, what is the area of a face that is 3 by 6?

• 18 square feet

• 36 square feet

• 12 square feet

• 24 square feet

Tags

CCSS.7.G.B.6

What is the correct method to calculate the surface area of a rectangular prism?

• Add the length, width, and height and square the result

• Multiply the length by width and height and then double the result

• None of the above

• Calculate the area of each face and sum them up

Tags

CCSS.7.G.B.6