Ask Questions, Discuss Approaches & No Clutter
Mai Ha Phuong
0

The measurements obtained for the interior dimensions

Open 1 Answers 486 Views
GMAT Timer00:00

The measurements obtained for the interior dimensions of a rectangular box are 200 cm by 200cm by 300cm. 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? 
A - 100,000 
B - 120,000 
C - 160,000 
D - 200,000 
E - 320,000

Official Answer

1 Answer

Manshul Arora
0

suppose the three sides are a,b,c

The actual volume shall be abc

if each side is larger by 1 cm, the new volume shall be 

(a+1)(b+1)(c+1)
=> (ab + a + b + 1) (c+1)
=> (abc +ab + ac +a + bc + b + c + 1) 
=> abc + ab + ac + bc + a + b + c +1 

let us calc the difference 

=> a + b + c = 200 + 200 + 300 => 700

=> ab + bc + ca = 200*200 + 200*300 + 300*200 = 40 000 + 60 000 + 60 000

Total would be 160701

answered Nov 14, 2015 by Beginner (1 point)
Student Speaks

Jyotsna Mehta

Indian School of Business, Co'18

I am very thankful to Gmatxchange and would definitely recommend Gmatxchange mentors to all those students applying for MBA admissions

Your Tentative GMAT Score
Estimate your GMAT score.
700
The scorer helps you to determine your current level within a few questions you solve.Read More
Please log in or register to use the Scoring Feature
Confused about your profile & colleges, Get FREE profile evaluation today from over 10 consultants.
Follow us and get quick prep updates on Facebook
...