Volume of Pyramids

Drag and drop the pyramids to categorize them as rectangular pyramids or triangular pyramids.

Groups:

(a) Rectangular Pyramids

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(b) Triangular Pyramid

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Tags

CCSS.5.MD.C.3

Ms. Blancarte is attempting to solve for volume of a rectangular pyramid. She uses the equation V=(½ × 5 × 4)6 to solve for volume. Pick TWO answers that explain what Ms. Blancarte did incorrectly.

• Using the wrong dimensions for the base

• The base does not need to be multiplied by ½

• The dimensions need to be multiplied by ⅓ because it's a pyramid

• 6 did not need to be used in the equation

Tags

CCSS.HSG.GMD.A.3

Ms. Johnson is attempting to solve for volume of a triangular pyramid. She uses the equation V=⅓ (42 × 42)+ 62 to solve for volume. Pick TWO answers that explain what Ms. Johnson did incorrectly.

• Did not incorporate ½ when solving for area of the base

• Used 42 as the height of the base

• Used 42 as the width of the base

• Added 62 instead of multiplying 62

Ms. Hernandez is solving for the volume of a triangular pyramid. The Base of the pyramid is 8 inches wide and 2 inches tall. The height of the Prism is 10 inches. Drag and drop values to complete the equation.

b

c

⅓

10

4

½

8

Tags

CCSS.HSG.GMD.A.3

Mr. Williams is trying to solve for the volume of a rectangular pyramid. The base of the pyramid is 13 inches wide and 4 inches tall. The height of the pyramid is 5 inches. Drag and drop values to complete the equation.

b

d

4

13

½

5

⅓

Tags

CCSS.HSG.GMD.A.3

Determine the volume of the following pyramids. Please note that the area of the base has been provided.

• 480 units³

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• 245 units³

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• 1,173 units³

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• 20 units³

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Tags

CCSS.HSG.GMD.A.3

The dimensions of a rectangular pyramid are shown. What is the volume of this pyramid in cubic feet?

• 96

• 18

• 64

• 192

Tags

CCSS.HSG.GMD.A.3

A square pyramid is shown below. If the height of this pyramid is 7.5 meters, what is the volume of the pyramid in cubic meters?

• 202.5

• 303.75

• 270

• 243

Tags

CCSS.HSG.GMD.A.3