What Is the Formula for Calculating Volume of Common Shapes?

Learn the formulas to calculate volume for cubes, cylinders, and spheres, including key geometric equations for each shape.

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The formula for calculating volume depends on the shape of the object. For a cube or box, it is the product of its length, width, and height (L×W×H). For a cylinder, the formula is the area of the base (πr²) multiplied by the height (H). For a sphere, use (4/3)πr³, where 'r' is the radius. Each formula is instrumental in determining the amount of space an object occupies.

FAQs & Answers

  1. How do you calculate the volume of a cube? To calculate the volume of a cube, multiply its length by its width and height using the formula V = L × W × H.
  2. What is the formula for the volume of a cylinder? The volume of a cylinder is calculated by multiplying the area of its base (πr²) by its height (H), using the formula V = πr² × H.
  3. How is the volume of a sphere calculated? The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius of the sphere.