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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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