![]() The volume of a sphere is 4/3 × π × radius 3. You first divide the shape into two sections, a cylinder and a hemisphere. The basic formula for volume of prisms and cylinders is therefore:Īrea of the end shape × the height/depth of the prism/cylinder. Instead of a rectangular end, you simply have another shape: a circle for cylinders, a triangle, hexagon or, indeed, any other polygon for a prism.Įffectively, for cylinders and prisms, the volume is the area of one side multiplied by the depth or height of the shape. This basic formula can be extended to cover the volume of cylinders and prisms too. A box with the dimensions 15cm width, 25cm length and 5 cm height has a volume of: You can multiply in which-ever order you like as it won't change the answer (see our page on multiplication for more). The important thing is that the three dimensions are multiplied together. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'. ![]() Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
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