Refer back to our page Calculating Area if you cannot remember how to calculate the area of a circle or triangle. The volume of a cone or pyramid is exactly one third of what it would be for a box or cylinder with the same base.Īrea of the base or end shape × the height of the cone/pyramid × 1/ 3 The same principle as above (width × length × height) holds for calculating the volume of a cone or a pyramid except that, because they come to a point, the volume is only a proportion of the total that it would be if they continued in the same shape (cross-section) right through. This is equivalent to 5.338 litres, or 0.0053 m 3. First convert the length into cm 1.7 × 1000 = 1700cm. Watch out for inconsistent units! The area is in centimetres, but the length is in metres. The length of the pipe is 1.7m, so you need to multiply the end area by the length in order to find the volume. The area is therefore π × 1 2, which is 3.14cm 2.
The diameter is 2cm, so the radius is 1cm. The area of one end can be calculated using the formula for the area of a circle πr 2. In this example you need to calculate the volume of a very long, thin cylinder, that forms the inside of the pipe. Calculate the volume of water in the pipe. The basic formula for volume of prisms and cylinders is therefore:Īrea of the end shape × the height/depth of the prism/cylinder.Ī straight length of circular pipe has an internal diameter of 2cm and a length of 1.7m. 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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