Volume

Volume is the amount of space a 3D shape takes up. Volume is sometimes called capacity. In math, volume is the measurement of space inside an 3 dimensional (dimension refers to length, width, depth, or height) and is helpful for measuring air and liquid.

You can work out the volume of a shape by multiplying height × width × depth. If the shape is made of cubic cm blocks, you can count the cubes to find the shape’s volume.

Volume of a Rectangular Prism (and Cube)


To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

 

Volume of a Triangular Prism


The formula for the volume of a prism is V=Bh , where B is the area of the base of the prism and h is the height of the prism. The base of the prism is a triangle.

We find the volume of a triangular prism by multiplying the area of the base (the triangle part) by the height of the prism.

Another way to look at the volume formula of a triangular prism.

 

Volume of a Cylinder


For any cylinder with base radius ‘r’, and height ‘h’, the volume will be area of the base (the circle part) times the height of cylinder. Therefore, the volume of a cylinder  V= Bh (πr2h) cubic units.

Volume of a Cone


The formula for the volume of a cone is V=1/3hπr².

Volume of a Sphere


The formula for the volume of a sphere is V = 4/3 πr³.

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