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11 August, 16:03

If the volume of a box is 1,463,000 cubic millimeters, what is the volume of the box in cubic meters? (1 millimeter = 0.001 meter)

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  1. 11 August, 16:15
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    The volume of the box would be 0.001463 cubic meters

    Step-by-step explanation:

    You first have to to do the conversion from cubic milimiters to cubic meters using the rule given. A cubic milimiter is only 1^3 = or 1*1*1. We transform then this rule so it applies for cubic measures.

    1 millimeter = 0.001 meter

    (1 millimeter) ^3 = (0.001 millimeter) ^3 (raise to the cubic power)

    1 cubic milimiter = (0.001*0.001*0.001) cubic meters = 0.000000001 or 1 * 10^-9 in scientific notation.

    Then we us a rule of three as follows

    1 cubic millimiter / 1 * 10^-9 cubic meters = 1,463,000¨cubic milimiters / x cubic meters

    x = 1,463,000*1 * 10^-9 = 0.001463 cubic meters
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