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Geometry - Spheres and Cuboids

This topic has 3 expert replies and 3 member replies

Geometry - Spheres and Cuboids

Post Sun Mar 10, 2013 9:48 am
Find the maximum number of spheres with a radius of 1 that can be fit into a cuboid with dimesions 6 , 8, 10 respectively.

A. 4
B. 12
C. 60
D. 90
E. 120

Thanks. Smile

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konan Newbie | Next Rank: 10 Posts Default Avatar
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Post Sun Feb 21, 2016 10:33 pm
if we use the formula for volume of cuboid and volume of sphere then the answer appears to be 120.
volume of cuboid = 6*8*10=480
volume of sphere = 4/3 pi*r^3=4/3 pi=4 approx
if we divide the volume of cuboid by the volume of sphere then the answer appears to be 120.
please help me with this..

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Post Mon Feb 22, 2016 7:54 am
This question is not worth solving- it's not a GMAT-like question at all. The GMAT does not require you to know the volume of a sphere, and it will never use the term "cuboid." The GMAT would always say "rectangular box."

Don't study from non-GMAT-like sources. And please always post your sources, so students know which ones are high-quality and which are not.

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konan Newbie | Next Rank: 10 Posts Default Avatar
Joined
06 Feb 2016
Posted:
6 messages
Post Sun Feb 21, 2016 10:33 pm
if we use the formula for volume of cuboid and volume of sphere then the answer appears to be 120.
volume of cuboid = 6*8*10=480
volume of sphere = 4/3 pi*r^3=4/3 pi=4 approx
if we divide the volume of cuboid by the volume of sphere then the answer appears to be 120.
please help me with this..

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Post Mon Feb 22, 2016 7:54 am
This question is not worth solving- it's not a GMAT-like question at all. The GMAT does not require you to know the volume of a sphere, and it will never use the term "cuboid." The GMAT would always say "rectangular box."

Don't study from non-GMAT-like sources. And please always post your sources, so students know which ones are high-quality and which are not.

_________________


Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education
Harvard Graduate School of Education


Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience.
Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry!

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Post Mon Mar 11, 2013 8:04 am
paresh_patil wrote:
Brent-
can this be solved using the formula for volume of cuboid and volume of sphere?
Hi Paresh,

Calculating the volume of each and then determining how many sphere volumes divided into the cuboid (box) volume sounds like a great plan. The problem is that the spheres don't fit nicely into the box. There will always be a lot of air space.

Plus, I should mention that, on the GMAT, you don't need to know how to find the volume of a sphere. So, if a question involves a sphere, you can be certain that there exists solution that doesn't require you to find its volume.

Cheers,
Brent

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paresh_patil Senior | Next Rank: 100 Posts Default Avatar
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Test Date:
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Post Mon Mar 11, 2013 2:30 am
Brent-
can this be solved using the formula for volume of cuboid and volume of sphere?

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