Volume and Surface Area of Right Prisms

This video tutorial focuses on the volume and surface area of right prisms. It explains how to calculate the surface area of polyhedrons by finding the area of each face and adding them up. The video also covers the volume of prisms and provides practical examples, such as determining the weight of a concrete bench using its volume and calculating the time to clean it using its surface area. The tutorial concludes with questions on using volume and surface area to calculate costs for materials like concrete and paint.

What is a polyhedron?

• A type of prism with curved surfaces

• A three-dimensional figure with flat polygonal faces

• A mathematical formula for calculating area

• A two-dimensional geometric figure

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CCSS.1.G.A.1

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What does the surface area of a polyhedron represent?

• The total volume inside the polyhedron

• The total area covered by the faces of the polyhedron

• The total area of all its edges

• The perimeter of the polyhedron

What is the formula for the surface area of a cube with side length s?

• 2 times s squared

• s squared

• 6 times s squared

• s cubed

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CCSS.6.G.A.4

How do you calculate the surface area of a cube?

• Multiply the area of one face by four

• Add the area of all faces

• Divide the area of one face by six

• Multiply the area of one face by six

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CCSS.6.G.A.4

What makes up the surface area of a prism?

• Two bases and one rectangle

• Two bases and two rectangles

• One base and one rectangle

• Four identical triangles

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CCSS.6.G.A.4

What unit is used to measure volume?

• Cubic units

• Kilograms

• Square units

• Linear units

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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How much does the concrete bench weigh?

• 1500 pounds

• 1000 pounds

• 2000 pounds

• 500 pounds

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CCSS.3.MD.A.2

How long does it take to clean the bench?

• 22 seconds

• 88 seconds

• 44 seconds

• 176 seconds

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CCSS.4.MD.A.2

What is used to calculate the cost of the concrete needed for the bench?

• Height

• Weight

• Volume

• Surface area

How is the cost of the paint determined?

• Using the height

• Using the surface area

• Using the weight

• Using the volume