Questions and Answers
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?
V = 1/3 π r²h
What is the formula for the volume of a cylinder?
V = π r²h
What is the formula for the volume of a pyramid?
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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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Description
This quiz covers the volume formulas for various geometric shapes including rectangular prisms, cones, and cylinders. Learn how to calculate the volume with the respective formulas and understand each component involved. Perfect for students looking to master volume calculations in geometry.
