
Unit 7 Test Review :: Volume & Density
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is Cavalieri's Principle?
Back
Cavalieri's Principle states that if two solids have the same height and the same cross-sectional area at every level, then they have the same volume.
2.
FLASHCARD QUESTION
Front
How do you find the volume of a tetrahedron?
Back
The volume of a tetrahedron can be calculated using the formula: V = (1/3) * base area * height.
3.
FLASHCARD QUESTION
Front
What is the formula for the volume of a triangular prism?
Back
The volume of a triangular prism is given by the formula: V = (1/2) * base * height * length.
4.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cylinder?
Back
The volume of a cylinder is calculated using the formula: V = π * r² * h, where r is the radius and h is the height.
5.
FLASHCARD QUESTION
Front
How do you calculate the radius of a cylinder given its volume and height?
Back
To find the radius, rearrange the volume formula: r = √(V / (π * h)).
6.
FLASHCARD QUESTION
Front
What is the volume of a cylinder with a radius of 5 cm and height of 12 cm?
Back
The volume is V = π * (5 cm)² * (12 cm) = 300π cm³.
7.
FLASHCARD QUESTION
Front
What is the volume of a tetrahedron with a base area of 12 cm² and height of 6 cm?
Back
The volume is V = (1/3) * 12 cm² * 6 cm = 24 cm³.
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