Question

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)

Answer 1

The volume of the box would be 0.001463 cubic meters

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