Exploring the Volume of Pyramids

This video tutorial covers the calculation of pyramid volumes, focusing on both rectangular and triangular pyramids. It explains the naming of pyramids based on their base shape and the importance of height in volume calculations. The video provides step-by-step examples of finding the volume of rectangular and triangular pyramids, including a word problem involving cost calculation based on volume. It concludes with a problem on calculating the combined volume of multiple pyramids.

What determines the name of a pyramid?

• The color of the pyramid

• The shape of the pyramid's base

• The volume of the pyramid

• The height of the pyramid

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What is the formula for finding the volume of a pyramid?

• V = 2/3 base area × height

• V = 1/2 base area × height

• V = base area × height

• V = 1/3 base area × height

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CCSS.HSG.GMD.A.3

How do you calculate the base area of a rectangular pyramid?

• Length + Width

• Length × Width

• Length × Width × Height

• 1/2 Length × Width

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What is the volume of a rectangular pyramid with a base area of 48 cm² and a height of 12 cm?

• 144 cm³

• 192 cm³

• 576 cm³

• 16 cm³

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How do you find the area of the base for a triangular pyramid?

• Base × Height

• 1/2 Base × Height

• Base + Height

• 1/3 Base × Height

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CCSS.7.G.B.6

What formula is used to calculate the area of the base for a triangular pyramid?

• Base + Height

• 1/3 Base × Height

• Base × Height

• 1/2 Base × Height

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CCSS.7.G.B.6

What is the volume of a triangular pyramid with a base area of 27 ft² and a height of 10 ft?

• 9 ft³

• 30 ft³

• 270 ft³

• 90 ft³

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CCSS.HSG.GMD.A.3

How do you calculate the cost of a popcorn carton if the volume is 108 inches³ and the price is 6 cents per cubic inch?

• $0.648

• $64.80

• $648.00

• $6.48

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If a square pyramid has a base side of 6 inches and a height of 9 inches, what is its volume?

• 108 inches³

• 36 inches³

• 18 inches³

• 324 inches³

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CCSS.HSG.GMD.A.3

What is the combined volume of four pyramids each with a volume of 18 inches³?

• 72 inches³

• 36 inches³

• 144 inches³

• 54 inches³

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