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Q.

If three cubes each of edge length 4 cm are placed end to end, what are the dimensions of the resulting solid?


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a

12cm×12cm×4cm

b

4cm×4cm×4cm

c

12cm×4cm×4cm

d

12cm×4cm×12cm 

answer is C.

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Detailed Solution

Given, three cubes are joined end to end.
Edge of the cube is 4 cm.
By joining three cubes side by side, width and height remains unaltered.
But the length of the cube becomes thrice.
So, length is 3(4) = 12 cm.
Hence, dimensions of the resulting solid is 12cm×4cm×4cm.
So, option 3 is correct.
 
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If three cubes each of edge length 4 cm are placed end to end, what are the dimensions of the resulting solid?