If linear dimensions are increased by a certain factor, the volume will increase by that same factor, raised to the third power - so, in this case, 3 to the power 3.
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The volume of an object has three dimensions and when all three dimensions are multiplied together the product is called the volume which is measured in cubic units.
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if all 3 dimensions increase b factor of 7 then volume changes by 7 cubed or a factor of 343
If a calculation of volume in cubic inches is needed, all dimensions need to be converted to inches before calculating the volume. For example, if calculating a rectangular prism in cubic inches, the dimensions need to be converted to inches, then the volume is calculated as length times width times height.