Pyramid and Prism Volume Concepts

The video tutorial explains how to find the volume of a pyramid, starting with a basic understanding of what a pyramid is and how it differs from a prism. It covers the formula for calculating the volume of a prism and how to adjust it for a pyramid by taking one-third of the prism's volume. The tutorial provides examples of calculating the volume for pyramids with different base shapes, including square and triangular bases, and walks through the steps of these calculations.

What is a key structural difference between a pyramid and a prism?

• A prism has a single apex.

• A prism has a circular base.

• A pyramid has parallel bases.

• A pyramid has a point at the top.

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CCSS.HSG.GMD.A.3

How do you calculate the volume of a pyramid compared to a prism?

• Multiply the base area by the height.

• Divide the prism's volume by 2.

• Multiply the prism's volume by 1/3.

• Add the base area to the height.

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CCSS.7.G.B.6

What is the formula for the base area of a square base?

• Base plus height

• Base times height

• Side squared

• 1/2 base times height

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CCSS.7.G.B.6

How do you find the base area of a right triangular base?

• Base times height

• Side squared

• Base plus height

• 1/2 base times height

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the base area of a rectangle?

• Base plus height

• 1/2 base times height

• Side squared

• Base times height

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CCSS.HSG.GMD.A.3

If a square base has a side length of 4 and the pyramid's height is 5, what is the volume?

• 80

• 20

• 26.67

• 53.33

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CCSS.HSG.GMD.A.3

In the square base example, what is the first step to find the volume?

• Square the side length

• Divide the side length by 2

• Multiply the side length by 3

• Add the side length to the height

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CCSS.6.G.A.1

For a right triangular base with sides 8 and 6, what is the base area?

• 12

• 36

• 24

• 48

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CCSS.HSG.GMD.A.3

What is the final volume of the pyramid with a right triangular base and an altitude of 7?

• 48

• 72

• 24

• 56

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CCSS.7.G.B.6

In the right triangular base example, what is the first step to find the base area?

• Multiply the base by 1/3

• Divide the base by 2

• Add the base to the height

• Multiply the base by the height

Tags

CCSS.7.G.B.6