33. A cube of side 5 cm is cut into as many 1cm cubes as possible. What is the ratio of
the surface area of the original cube to that of the sum of the surface areas of the
smaller cubes?
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Answer:
Step-by-step explanation:
Surface area of original cube
6a square
6 x 5x5
30x5
150 CM square
Total number of small cubes
Volume of original cube decided by volume of one small cube
125/1
125 small cubes
Surface area of small cube
6x1x1
6cm square
Total surface area of all cubes
6x125
750 cm square
So the ratio is
Original cube/total area of all small cubes
150/750
15/75
3/15
1/5
So the ratio is 1: 5
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