Math  Help

Volume Formula

What is Volume?

Volume is the amount of space that an object occupies. Since the object is three-dimensional, the units will be cubic (i.e. cm3).

Equations Volume Formula

Volume of a Cube

V = s3, where s is the length of the side.

Volume of a Right Rectangular Prism

V = LWH, , where L is the length, W is the width and H is the height.

Volume of a Prism or Cylinder

V=Ah, where A is the area of the base, h is the height.

Volume of a Pyramid or Cone

, where A is the area of the base, h is the height.

Volume of a Sphere

, where r is the radius.

Example of Volume Formula

Find the volume of a cylinder if it has an area of 5 cm2 and a height of 4 cm.

Write down the formula

Plug in the values for A and h.

Practice Problems of
Volume Formula

• Find the volume of a cube where the length of the side is 5 cm

• Find the volume of a sphere if it has a radius of 3 m.

Take Home Points of
Volume Formula

• Volume is defined by the space that the object takes up

• Different objects have different formulas to calculate its volume

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