GMAT Practice Question  Solid Geometry
Question 1
This GMAT quant practice question is from the topic Mensuration (Solid Geometry): Concept covered is properties of surfaces of cubes.
 9
 61
 98
 54
 64
Explanatory Answer
When a 5 cc cube is sliced into 1 cc cubes, we will get 5 * 5 * 5 = 125 cubes of 1 cubic centimeter.
In each side of the larger cube, the smaller cubes on the edges will have more than one of their sides painted.
Therefore, the cubes which are not on the edge of the larger cube and that lie on the facing sides of the larger cube will have exactly one side painted.
In each face of the larger cube, there will be 5 * 5 = 25 cubes.
Of these, the cubes on the outer rows will be on the edge. 16 such cubes exist on each face.
If we count out the two outer rows on either side of a face of the cube, we will be left with 3 * 3 = 9 cubes which are not on the edge in each face of the cube.
Therefore, there will be 9 cubes of 1cc volume per face that will have exactly one of their sides painted.
In total, there will be 9 * 6 = 54 such cubes.
Choice D is the correct answer.
More questions from Mensuration & Solid Geometry
Free GMAT Prep Questions
 Algebra
 Sequences & Series
 Statistics
 Inequalities
 Geometry
 Mensuration
 Coordinate Geometry
 Number Properties & Theory
 Percents
 Permutation & Probability
 Profits
 Quadratic Equations
 Ratio Proportion
 Sets
 Simple & Compound Interest
 Rates : Speed distance time
 Rates : Work time
 Data sufficiency
 Sentence Correction
 Free Quiz
Next GMAT Batches @ Chennai

January 7, 2017
 Weekend Morning Batch
 Class Timings
 Sat: 10:30 AM to 1:30 PM
 Sun: 10:30 AM to 1:30 PM
 Fees : Rs.17,500 + 15% ST
February 11, 2017
 Weekend Morning Batch
 Class Timings
 Sat: 10:30 AM to 1:30 PM
 Sun: 10:30 AM to 1:30 PM
 Fees : Rs.17,500 + 15% ST
Contact Us
4GMAT  GMAT Classes
II floor, Kanya West Wing
48/1 Velachery Taramani Road
Velachery. Chennai 600042.
Contact : Mr.Muthu
Call 95000 48484
Center Open: Sat and Sun: 10 AM to 7:30 PM. 
January 21, 2017
 'SundayOnly' Batch
 Class Timings
 Session 1: 6:30 AM to 9:30 AM
 Session 2: 10:30 AM to 1:30 PM
 Fees : Rs.17,500 + 15% ST
January 23, 2017
 Weekday  Morning Batch
 Class Timings
 Monday to Friday: 6:30 AM to 9:30 AM
 Duration: 5 weeks
 Fees : Rs.17,500 + 15% ST
Contact Us
4GMAT  GMAT Classes
14B/1 Dr Thirumurthy Nagar I Street
Nungambakkam
Chennai 600034.
Contact : Mr.Muthu
Call 044 4500 8484  95000 48484
Useful Links
Prep Freebies
Contact Us
4GMAT  GMAT Classes
14B/1 Dr Thirumurthy Nagar I St.
Nungambakkam, Chennai 600 034
E mail : info@4gmat.com
Phone : +91 44 4500 8484
Mobile : +91 95000 48484
GMAT™ and GMAC™ are registered trademarks of the Graduate Management Admission Council™. The Graduate Management Admission Council™ does not endorse, nor is it affiliated in any way with the owner or any content of this web site.
Copyright 2004  16 4GMAT.COM, A division of Test Catalyst (India) Private Limited. All rights reserved.
Terms and Conditions  Privacy policy  Disclaimer