Volume of Pyramids and Cones
Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the volume of a pyramid?
Back
Volume = (1/3) × Base Area × Height
Tags
CCSS.HSG.GMD.A.3
2.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cone?
Back
Volume = (1/3) × π × r² × Height
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
3.
FLASHCARD QUESTION
Front
Calculate the volume of a pyramid with a base area of 36 m² and a height of 9 m.
Back
Volume = (1/3) × 36 m² × 9 m = 108 m³
Tags
CCSS.HSG.GMD.A.3
4.
FLASHCARD QUESTION
Front
Calculate the volume of a cone with a radius of 3 ft and a height of 5 ft using π = 3.14.
Back
Volume = (1/3) × 3.14 × (3 ft)² × 5 ft = 28.26 ft³
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
FLASHCARD QUESTION
Front
What is the relationship between the volume of a pyramid and a prism with the same base and height?
Back
The volume of the pyramid is one-third the volume of the prism.
Tags
CCSS.HSG.GMD.A.3
6.
FLASHCARD QUESTION
Front
If the height of a cone is doubled while keeping the radius the same, how does the volume change?
Back
The volume doubles.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
FLASHCARD QUESTION
Front
What is the volume of a cone with a radius of 2 m and a height of 4 m?
Back
Volume = (1/3) × π × (2 m)² × 4 m = 16.76 m³ (using π ≈ 3.14)
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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