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Questions and Answers
The new pyramid has a volume that is 1/2 the volume of the original pyramid if the height is doubled, but its length and width are cut in half.
The new pyramid has a volume that is 1/2 the volume of the original pyramid if the height is doubled, but its length and width are cut in half.
True
What is the volume of the pyramid in cubic inches?
What is the volume of the pyramid in cubic inches?
144
The new pyramid has a volume that is 8 times the volume of the original pyramid if each of the dimensions are doubled.
The new pyramid has a volume that is 8 times the volume of the original pyramid if each of the dimensions are doubled.
True
Which statements are true about a rectangular pyramid with a height of 15 inches and a base with the dimensions of 12 inches and 9 inches? (Select three options)
Which statements are true about a rectangular pyramid with a height of 15 inches and a base with the dimensions of 12 inches and 9 inches? (Select three options)
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What is the volume of a pyramid with the same base length, base width, and height as a given prism that has a volume of 360 in³?
What is the volume of a pyramid with the same base length, base width, and height as a given prism that has a volume of 360 in³?
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If the volume of the pyramid shown is 216 in³, what is the area of its base?
If the volume of the pyramid shown is 216 in³, what is the area of its base?
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What is the volume of the pyramid?
What is the volume of the pyramid?
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What is the volume of the pyramid given as 80 cm³?
What is the volume of the pyramid given as 80 cm³?
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Which pyramid has a greater volume, and how much greater is its volume?
Which pyramid has a greater volume, and how much greater is its volume?
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Study Notes
Volume Relationships in Pyramids
- Doubling the height of a pyramid while halving its base length and width results in a new volume that is half of the original.
- When all dimensions of a pyramid are doubled, the volume increases to 8 times that of the original.
Rectangular Pyramid Attributes
- A rectangular pyramid with a height of 15 inches and a base measuring 12 inches by 9 inches has a base area of 108 square inches.
- The volume of this rectangular pyramid calculates to 540 cubic inches.
- A rectangular prism with dimensions of 9 inches by 12 inches by 15 inches has a volume three times greater than that of the pyramid.
Calculating Pyramid Volumes
- The volume of a pyramid sharing base dimensions and height with a specific prism is 360 cubic inches.
- For a pyramid with a volume of 216 cubic inches, the base area is determined to be 108 square inches.
- A pyramid has been calculated to have a volume of 320 cubic inches.
Specific Pyramid Volumes
- A pyramid has a calculated volume of 80 cubic centimeters.
- Comparison of pyramid volumes indicates that one specific pyramid has a greater volume than another by 2 cubic inches.
Studying That Suits You
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Description
Test your knowledge on the volume of pyramids with this pre-test quiz. The flashcards cover various scenarios of changing dimensions and how they affect volume. Perfect for students preparing for assessments on this topic.
