Understanding Surface Area and Nets

The video tutorial explains how to determine if a given net can represent a figure with a specified surface area. It begins by introducing the problem and describing the net's dimensions. The tutorial then guides viewers through visualizing the polyhedron formed by the net and calculating its surface area. Ultimately, it concludes that the net represents a figure with a surface area of 48 square centimeters, not 40 as initially stated.

What is the initial problem that needs to be solved in the video?

• Finding the volume of a figure

• Identifying the type of polyhedron

• Determining if a net can represent a figure with a specific surface area

• Calculating the perimeter of a shape

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CCSS.HSG.CO.A.1

What are the lengths of the edges marked with double hash marks?

• 6 centimeters

• 3 centimeters

• 4 centimeters

• 5 centimeters

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CCSS.6.G.A.4

What shape does the net represent when folded?

• A cube

• A pyramid

• A cylinder

• A rectangular prism

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CCSS.6.G.A.4

What is the width of the polyhedron when the net is folded?

• 1 centimeter

• 2 centimeters

• 3 centimeters

• 4 centimeters

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CCSS.6.G.A.4

What is the height of the polyhedron when the net is folded?

• 4 centimeters

• 2 centimeters

• 1 centimeter

• 3 centimeters

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the length of the base of the polyhedron?

• 6 centimeters

• 3 centimeters

• 4 centimeters

• 5 centimeters

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CCSS.3.MD.C.5A

How many square centimeters is the surface area of one of the 5 by 2 centimeter sections?

• 14 square centimeters

• 12 square centimeters

• 10 square centimeters

• 8 square centimeters

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CCSS.6.G.A.4

How many 2 by 2 centimeter sections are there in the net?

• One

• Two

• Three

• Four

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CCSS.6.G.A.4

What is the total surface area of the polyhedron represented by the net?

• 52 square centimeters

• 48 square centimeters

• 44 square centimeters

• 40 square centimeters

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CCSS.6.G.A.4

Does the net represent a figure with a surface area of 40 square centimeters?

• No

• Only if adjusted

• Depends on the dimensions

• Yes

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CCSS.6.G.A.4