How to Calculate Volume: Formulas for Cube, Cylinder, Sphere, and Rectangular Prism

Learn how to calculate volume using formulas for common 3D shapes like cubes, cylinders, spheres, and rectangular prisms.

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To calculate volume, use the formula specific to the shape of the object. For a cube, the formula is side³; for a rectangular prism, it's length × width × height; for a cylinder, π × radius² × height; and for a sphere, 4/3 × π × radius³. Each formula accurately measures the space within a 3D object, tailoring to its unique dimensions and properties for precise calculation.

FAQs & Answers

  1. What is the formula to calculate the volume of a cube? The volume of a cube is calculated using the formula side³, where 'side' is the length of one edge of the cube.
  2. How do you find the volume of a cylinder? The volume of a cylinder is found using the formula π × radius² × height, where the radius is the cylinder’s base radius.
  3. What is the volume formula for a sphere? The volume of a sphere is calculated using the formula (4/3) × π × radius³.
  4. How do you calculate the volume of a rectangular prism? To calculate the volume of a rectangular prism, multiply its length by its width and height: Volume = length × width × height.

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For more detailed explanations and examples on geometry and volume calculations, check out our related videos and articles on measuring surface area, calculating volume of cones, and understanding geometric formulas.

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