Exploring Surface Area of Pyramids

This video tutorial covers the calculation of surface areas for square and triangular pyramids. It begins with an introduction to the concept of surface area and the types of pyramids. The tutorial then provides a detailed example of finding the surface area of a square pyramid, including drawing a net and using formulas. Following this, an example of a triangular pyramid is presented, highlighting the use of equilateral triangles. The video concludes with a review and an additional example to reinforce the concepts.

What are the two types of pyramids discussed?

• Cone-based and Triangular-based

• Square-based and Cone-based

• Square-based and Triangular-based

• Cylinder-based and Square-based

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CCSS.1.G.A.1

CCSS.2.G.A.1

How do you start drawing a net for a square-based pyramid?

• By outlining a circle

• By sketching a square

• By drawing a triangle

• By creating a hexagon

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CCSS.6.G.A.4

What formula is used to calculate the area of the square base?

• Length x Width x Height

• Length + Width

• Base x Height

• Base x Height / 2

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of one of the triangular faces of the square-based pyramid?

• 24 cm²

• 48 cm²

• 12 cm²

• 36 cm²

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CCSS.7.G.B.6

What is the total surface area of the square-based pyramid?

• 124 cm²

• 96 cm²

• 150 cm²

• 132 cm²

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CCSS.7.G.B.6

What characteristic do the faces of the triangular pyramid share?

• They are all equilateral triangles

• They are all right-angled triangles

• They are all isosceles triangles

• They are all different sizes

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the base length of one of the triangles in the triangular pyramid?

• 4.3 cm

• 5 cm

• 10.825 cm

• 12 cm

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the height of the triangles in the triangular-based pyramid?

• 4.3 cm

• 10.4 cm

• 5 cm

• 12 cm

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CCSS.1.G.A.1

CCSS.2.G.A.1

How many faces does the triangular pyramid have?

• 3

• 6

• 4

• 5

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CCSS.6.G.A.4

What is the total surface area of the triangular-based pyramid?

• 43.3 cm²

• 132 cm²

• 62.4 cm²

• 249.6 cm²

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CCSS.7.G.B.6