if the lengths of all sides of a box are doubled, Mathematics

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if the lengths of all sides of a box are doubled

If the lengths of all sides of a box are doubled, how much is the volume increased?

a. 2 times

b. 4 times

c. 6 times

d. 8 times

d. The volume of a box is taken by multiplying length × length × length or l × l × l = l³. If the length is doubled, the new volume is (2l ) × (2l ) × (2l ) or 8(l 3). When we differnciate the two expressions, we will see that the difference is a factor of 8. Thus, the volume has been increased by a factor of 8.

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Mathematics: if the lengths of all sides of a box are doubled

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