Calculating Volume: Prisms vs. Pyramids

The video tutorial explains how to calculate the volume of prisms and pyramids, focusing on both rectangular and triangular shapes. It covers the formulas for each shape, highlights the similarities and differences in their volume calculations, and provides step-by-step examples. The key difference between prisms and pyramids is the additional step of dividing by three for pyramids due to the one-third factor in their volume formula.

How do you calculate the area of the base for a rectangular prism with dimensions 8 by 10?

• 480 cm³

• 18 cm²

• 80 cm²

• 1440 cm³

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CCSS.7.G.B.6

What is the formula to calculate the volume of a rectangular prism?

• V = l * w * h

• V = 2B + h

• V = (1/3) * B * h

• V = B * h

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CCSS.7.G.B.6

What is the volume of a rectangular pyramid with a base area of 80 cm² and height of 18 cm?

• 540 cm³

• 480 cm³

• 160 cm³

• 1440 cm³

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CCSS.HSG.GMD.A.3

What additional step is required when calculating the volume of a pyramid compared to a prism?

• Add 10

• Subtract the base area

• Divide by 3

• Multiply by 2

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CCSS.HSG.GMD.A.3

What is the formula used to calculate the volume of a triangular prism?

• V = (1/3) * B * h

• V = B * h

• V = l * w * h

• V = 2B + h

Tags

CCSS.7.G.B.6

How is the area of a triangular base calculated if each side of the right triangle is 4 meters?

• 12 m²

• 8 m²

• 16 m²

• 4 m²

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CCSS.6.G.A.1

What is the volume of a triangular prism with a base area of 8 m² and height of 9 m?

• 72 m³

• 36 m³

• 24 m³

• 81 m³

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CCSS.7.G.B.6

What is the volume of a triangular pyramid with a base area of 8 m² and height of 9 m?

• 18 m³

• 72 m³

• 24 m³

• 27 m³

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CCSS.HSG.GMD.A.3

What step is added when calculating the volume of a triangular pyramid compared to a triangular prism?

• Add 5

• Subtract the base area

• Multiply by 3

• Divide by 3

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CCSS.HSG.GMD.A.3

What similarity exists in the volume calculation of both rectangular and triangular prisms and pyramids?

• Both use the area of the base in calculations.

• Both shapes require division by 3.

• Both use the same height in calculations.

• Both shapes are calculated without using height.

Tags

CCSS.7.G.B.6