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Cubes

Expert replies
by N:Dure » Sat Dec 25, 2010 11:32 am
Four solid cubes of gold, each with an edge of 2 centimeters long, are melted together and poured into a level, rectangular-shaped bar. The dimensions of the bar are 5 centimeters by 6 centimeters, and the bar is 4 centimeters deep. Approximately how many centimeters of liquid gold must be added to the bar so that it is completely full?

A 27

B 30

C 56

D 64

E 120
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Source: — Problem Solving |

by anshumishra » Sat Dec 25, 2010 12:01 pm
N:Dure wrote:Four solid cubes of gold, each with an edge of 2 centimeters long, are melted together and poured into a level, rectangular-shaped bar. The dimensions of the bar are 5 centimeters by 6 centimeters, and the bar is 4 centimeters deep. Approximately how many centimeters of liquid gold must be added to the bar so that it is completely full?

A 27

B 30

C 56

D 64

E 120
Volume of the rectangular bar = 5*6*4 = 120 cubic cm
Volume of the melted gold = 4*2*2*2 = 32 cubic cm

Now the melted gold has been poured into the rectangular hollow bar. So, the volume that needs to be filled = 120-32 cubic cm =
88 cubic cm

There is no option given as such.
Approximately how many centimeters of liquid gold must be added to the bar so that it is completely full?
This doesn't look right. The dimension should be cubic cm.

Can you post the OA ?
Thanks
Anshu

(Every mistake is a lesson learned )
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by diebeatsthegmat » Sat Dec 25, 2010 5:45 pm
N:Dure wrote:Four solid cubes of gold, each with an edge of 2 centimeters long, are melted together and poured into a level, rectangular-shaped bar. The dimensions of the bar are 5 centimeters by 6 centimeters, and the bar is 4 centimeters deep. Approximately how many centimeters of liquid gold must be added to the bar so that it is completely full?

A 27

B 30

C 56

D 64

E 120
4V=4*2^3=32 for four solid cubes of gold
5*6*4=12 for the rectangle
120-32=88???
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by N:Dure » Sat Dec 25, 2010 6:11 pm
OA 56
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