Podcast
Questions and Answers
What is the formula for the volume of a cube?
What is the formula for the volume of a cube?
What is the formula for the volume of a cuboid?
What is the formula for the volume of a cuboid?
What is the formula for the volume of a sphere?
What is the formula for the volume of a sphere?
What is the formula for the volume of a cylinder?
What is the formula for the volume of a cylinder?
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What is the formula for the volume of a rectangular based pyramid?
What is the formula for the volume of a rectangular based pyramid?
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What is the formula for the volume of a triangular based pyramid?
What is the formula for the volume of a triangular based pyramid?
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What is the formula for the volume of a cone?
What is the formula for the volume of a cone?
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What is the formula for the volume of a hemisphere?
What is the formula for the volume of a hemisphere?
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What is the formula for the volume of a prism?
What is the formula for the volume of a prism?
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Study Notes
Volume Formulas for Shapes
- Volume of Cube: Calculated as ( v = l^3 ), where ( l ) is the length of a side.
- Volume of Cuboid: Determined by the formula ( v = l \times w \times h ), with ( l ) as length, ( w ) as width, and ( h ) as height.
- Volume of Sphere: Given by ( v = \frac{4}{3} \pi r^3 ), where ( r ) is the radius.
- Volume of Cylinder: Calculated with ( v = \pi r^2 h ), with ( r ) as the radius of the base and ( h ) as the height.
- Volume of Rectangular Based Pyramid: Formula is ( v = \frac{1}{3} (l \times w \times h) ), where ( l ) is length, ( w ) is width, and ( h ) is height.
- Volume of Triangular Based Pyramid: Found using ( v = \frac{1}{3} \text{(area of base) } \times h ), where ( h ) is the height.
- Volume of Cone: Uses the formula ( v = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius of the base and ( h ) is the height.
- Volume of Hemisphere: Determined by ( v = \frac{2}{3} \pi r^3 ), where ( r ) is the radius.
- Volume of Prism: Calculated as ( v = \text{(area of cross section) } \times l ), where ( l ) is the length of the prism.
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Description
Test your knowledge on the volume formulas of various geometric shapes including cubes, spheres, and pyramids. This quiz covers essential equations for calculating the volume of solids, making it perfect for students learning geometry.
