Surface Area of Square Prisms

The video tutorial explains how to find the surface area of a square prism. It begins by defining a square prism and its components: lateral area and base area. The lateral area is calculated using the perimeter of the base and the height of the prism. The base area is found by squaring the side of the square base and doubling it to account for both bases. Finally, the total surface area is obtained by adding the lateral area and the doubled base area.

What is a square prism characterized by?

• Two circular bases

• Two rectangular bases

• Two triangular bases

• Two parallel square bases

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CCSS.7.G.B.6

What are the two main components needed to calculate the surface area of a square prism?

• Perimeter and volume

• Volume and height

• Lateral area and base area

• Height and width

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CCSS.7.G.B.6

How is the lateral area of a square prism calculated?

• Base area plus height

• Volume divided by height

• Perimeter of base times height

• Base area times height

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CCSS.7.G.B.6

If the perimeter of a square base is 24 inches and the height is 8 inches, what is the lateral area?

• 32 square inches

• 48 square inches

• 192 square inches

• 64 square inches

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CCSS.4.MD.A.3

CCSS.3.MD.C.7B

How do you calculate the area of a square base?

• Perimeter divided by four

• Length times width

• Side squared

• Height times base

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CCSS.6.G.A.4

Why do you need to double the base area in the surface area calculation?

• To account for the height

• To correct for measurement errors

• To include both bases

• To adjust for the perimeter

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CCSS.7.G.B.6

What is the total base area if one base area is 36 square inches?

• 72 square inches

• 36 square inches

• 108 square inches

• 144 square inches

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CCSS.7.G.B.6

What is the final step in finding the total surface area of a square prism?

• Multiplying the lateral area by the base area

• Dividing the lateral area by the base area

• Subtracting the base area from the lateral area

• Adding the lateral area and the total base area

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CCSS.7.G.B.6

If the lateral area is 192 square inches and the total base area is 72 square inches, what is the total surface area?

• 144 square inches

• 72 square inches

• 192 square inches

• 264 square inches

What units are used for the surface area in this example?

• Square feet

• Square inches

• Inches

• Cubic inches