GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A large cube is composed of smaller cubes, each of which are
[#permalink]
27 Mar 2018, 21:52
27 Mar 2018, 21:52
1
00:00
Question Stats:
100% (00:37) correct
0% (00:00) wrong based on 4 sessions
Hide Show timer Statistics
A large cube is composed of smaller cubes, each of which are 125 cubic centimeters in volume. If the larger cube has four of these smaller cubes as one of its lengths, what is the total volume of the larger cube, in cubic centimeters?
A)125
B)625
C)2,000
D)8,000
E)15,625
A)125
B)625
C)2,000
D)8,000
E)15,625
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Given Kudos: 0
Re: A large cube is composed of smaller cubes, each of which are
[#permalink]
29 Mar 2018, 18:47
29 Mar 2018, 18:47
Expert Reply
Firstly, let's figure out the side length of the smaller cubes. Since they have a volume of 125, and the formula for volume of a cube is V = s^3 (where s is the length of the sides) we know that the sides of the small cubes are 5. (This is because we recognize 125 as 5 cubed.)
Now, since the large cube has 4 small cubes to a side, we know the sides of the large cube are 20. Reapplying the volume formula, the volume of the large cube should be 20 cubed. The easiest way to do this arithmetic is to think of the 20 as 2x10 and cube them separately. Since 2 cubed is 8, and 10 cubed is 1000, we can multiply the two to get 20 cubed, getting us 8000. So the answer is D.
Now, since the large cube has 4 small cubes to a side, we know the sides of the large cube are 20. Reapplying the volume formula, the volume of the large cube should be 20 cubed. The easiest way to do this arithmetic is to think of the 20 as 2x10 and cube them separately. Since 2 cubed is 8, and 10 cubed is 1000, we can multiply the two to get 20 cubed, getting us 8000. So the answer is D.
gmatclubot
Re: A large cube is composed of smaller cubes, each of which are [#permalink]
29 Mar 2018, 18:47
Moderators:
