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Questions and Answers
What is the formula for the volume of a rectangular prism/cuboid?
What is the formula for the volume of a rectangular prism/cuboid?
V = l w h
What is the formula for the volume of a cone?
What is the formula for the volume of a cone?
V = 1/3 π r²h
What is the formula for the volume of a cylinder?
What is the formula for the volume of a cylinder?
V = π r²h
What is the formula for the volume of a pyramid?
What is the formula for the volume of a pyramid?
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What is the formula for the volume of a sphere?
What is the formula for the volume of a sphere?
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Study Notes
Volume of a Rectangular Prism/Cuboid
- Volume formula: V = l w h
- Variables defined:
- l: length of the base
- w: width of the base
- h: height of the cuboid
Volume of a Cone
- Volume formulas:
- V = 1/3Bh
- V = 1/3π r²h
- Variables defined:
- B: area of the circle at the base
- r: radius of the circular base
- h: height of the cone, measured from the base to the apex
Volume of a Cylinder
- Volume formulas:
- V = Bh
- V = π r²h
- Variables defined:
- B: area of the circular base
- r: radius of the circular base
- h: height of the cylinder, extending vertically
Volume of a Pyramid
- Volume formula: V = 1/3Bh
- Variables defined:
- B: area of the base, which can be square, rectangle, or triangle
- h: height of the pyramid, the perpendicular distance from the base to the apex
Volume of a Sphere
- Volume formula: V = 4/3 π r³
- Variable defined:
- r: radius of the sphere, distance from the center to the surface
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