Exploring Surface Area of Prisms

This video tutorial teaches how to find the surface area of prisms, including rectangular prisms, triangular prisms, and cubes. It begins with definitions of key terms like prisms, bases, lateral faces, and nets. The tutorial then provides step-by-step instructions for calculating the surface area of each type of prism, using both the net method and formulas. The video also includes practice problems for viewers to try on their own.

What defines a prism in geometry?

• A 2D object with multiple sides

• A 3D object with two identical, parallel bases

• A 3D object with no parallel faces

• A shape with one circular base

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CCSS.1.G.A.1

CCSS.2.G.A.1

Which of the following is not a type of prism discussed in the tutorial?

• Rectangular prism

• Triangular prism

• Hexagonal prism

• Cube

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the shape of the lateral faces in a prism?

• Parallelogram

• Circle

• Rectangle

• Triangle

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CCSS.7.G.A.3

What is the purpose of a net in geometry?

• To understand internal angles

• To measure weight

• To calculate volume

• To visualize the unfolding of a 3D shape

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CCSS.6.G.A.4

How do you calculate the surface area of a rectangular prism?

• Add the area of all faces

• Multiply the length by width by height

• Use the Pythagorean theorem

• Subtract the base area from the total volume

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CCSS.7.G.B.6

What formula can be used to simplify the calculation of a rectangular prism's surface area?

• lw / (l + w)

• 2(lw + lh + wh)

• l + w + h

• 2lw + 2lh + 2wh

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CCSS.7.G.B.6

How is the area of a triangular base calculated in a triangular prism?

• 2 * Base * Height

• 1/2 * Base * Height

• Base * Height

• Base + Height

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CCSS.7.G.B.6

What is the total surface area of a triangular prism if the base area is 6 and the lateral faces are 18, 30, and 24 respectively?

• 92 square units

• 78 square units

• 84 square units

• 88 square units

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CCSS.7.G.B.6

What is the formula to calculate the surface area of a cube?

• 6 * side^2

• side^2

• 6 * side

• 12 * side

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CCSS.6.G.A.4

If the side of a cube is 12 units, what is its surface area?

• 864 square units

• 1728 square units

• 432 square units

• 144 square units

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CCSS.6.G.A.4