The measurements obtained for the interior dimensions of a rectangular box are 150 cm by 150 cm by 225cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements? Choose the correct choice from the following choices:
A) 90,000
B) 95,000
C) 93,000
D) 92,000
E) 91,000
The options are well spread so we can approximate.   Changing the length by 1 cm results in change of the volume by 1*150*225 = 33,750 cubic centimeters;   Changing the width by 1 cm results in change of the volume by 150*1*225 = 33,750 cubic centimeters;   Changing the height by 1 cm results in change of the volume by 150*150*1 = 22,500 cubic centimeters.   So, approximate maximum possible difference is 33,750 + 33,750 + 22,500 = 90,000 cubic centimeters.   90,000nswer: 90,000
<result>A</result>
The measurements obtained for the interior dimensions of a rectangular box are 150 cm by 150 cm by 225cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closes maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?