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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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It increases 27-fold.

Q: When all dimensions are tripled what happens to the volume?

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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.

64

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.

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If only the length is changed and all other dimensions left unchanged, the volume will also triple.

three

It is multiplied by nine.

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.

You can't tell the dimensions from the volume. There are an infinite number of different sets of dimensions that all have the same volume.

The new area is 22 = 4 times the original area. The new volume is 23 = 8 times the original volume.

The effect on the total surface area of one dimension being doubled or tripled cannot be calculated. You either need to know all three dimensions or all three dimensions must be doubled, not just one dimension (or demension / demansion as you call them).

Volume = length X width X height. Therefore, take the cube root of the volume to find all the dimensions

64

If those dimensions are all in the same unit, then the volume is 1,170 cubic ones.

27 litres If the current volume is calculated by the formula Π multiplied by r2 multiplied by h Then the new volume will be calculated by Π multiplied by (3r)2 multiplied by 3h As (3r)2 = 9(r)2, then the two changes to the formula are that it has been multiplied by 9 and by 3, and that equals a 27-fold increase.

Yes. You can find the dimensions of the object (Assuming the dimensions are measurable) and calculate its volume in centimeters cubed.