Exploring Surface Area of Rectangular Prisms

This video tutorial teaches how to calculate the surface area of a rectangular prism and a cube. It begins with an introduction to the concept of surface area, followed by a detailed explanation of how to find the area of rectangles. The tutorial then provides a step-by-step guide to calculating the surface area of a rectangular prism by analyzing its six faces and using the formula for the area of a rectangle. Finally, it demonstrates how to calculate the surface area of a cube, emphasizing the simplicity of the process due to the cube's equal-sized faces.

What is surface area?

• Length times width of a rectangle

• Perimeter of a 2D shape

• Sum of the areas of all faces of a 3D object

• Volume of a 3D object

How do you find the area of a rectangle?

• Length plus width

• Width divided by length

• Length minus width

• Length times width

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CCSS.3.MD.C.7B

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What are the dimensions of the pink face of the prism?

• 5 inches by 5 inches

• 6 inches by 8 inches

• 8 inches by 3 inches

• 3 inches by 6 inches

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CCSS.1.G.A.1

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How many faces does a rectangular prism have?

• Eight

• Six

• Two

• Four

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CCSS.6.G.A.4

What is the area of the green face of the prism?

• 24 square inches

• 36 square inches

• 48 square inches

• 18 square inches

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Why do we double the area of each face when calculating the surface area?

• Because each face appears twice

• It's a mathematical error

• To simplify calculations

• To account for the base and top

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CCSS.7.G.B.6

What is the total surface area of the rectangular prism discussed?

• 160 square inches

• 180 square inches

• 150 square inches

• 200 square inches

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CCSS.7.G.B.6

What makes calculating the surface area of a cube easier compared to a rectangular prism?

• Only one face size to calculate

• All faces are different

• No need to double the areas

• It uses a different formula

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What is the surface area of the cube discussed in the lesson?

• 200 square centimeters

• 180 square centimeters

• 150 square centimeters

• 120 square centimeters

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CCSS.6.G.A.4

What formula is used to find the area of a square?

• Side plus side

• Side times side

• Side squared

• Side divided by two

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CCSS.3.MD.C.7B

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