SOLUTION: Harry has a large number of cubes, all with edges 3cm long.What is the greatest number of these cubes that he could fit into a) A Cubical box with all its internal edges 12cm long

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Question 397189: Harry has a large number of cubes, all with edges 3cm long.What is the greatest number of these cubes that he could fit into
a) A Cubical box with all its internal edges 12cm long.
b) A box in the shape of a cuboid with internal dimensions 17cm by 10cm by 8cm.
Answer by mananth(16946) About Me  (Show Source):
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Harry has a large number of cubes, all with edges 3cm long.What is the greatest number of these cubes that he could fit into
a) A Cubical box with all its internal edges 12cm long.
b) A box in the shape of a cuboid with internal dimensions 17cm by 10cm by 8cm.
volume of bigger cube/volume of smaller cube = number of cubes
..
side = 12
v= 12*12*12
=1728cm^3
...
volume of small cube = 3*3*3=27cm^3
1728/27
=64 small cubes
..
Volume of cuboid = 17*10*8
V=1360 cm^3
1360/27
50.3
50 small cubes can be placed
,
m.ananth@hotmail.ca