A cube of side 5cm 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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surface area of bigger cube=6x5x5=150cm³
surface area of smaller cube=6x1x1=6cm³
number of smaller cubes possible = volume of larger cube/volume of smaller cube
=5x5x5/1x1x1=125 cubes
ratio of surface area of bigger cube to the total surface area of all smaller cubes= 150/(125x6)
=1/5
surface area of smaller cube=6x1x1=6cm³
number of smaller cubes possible = volume of larger cube/volume of smaller cube
=5x5x5/1x1x1=125 cubes
ratio of surface area of bigger cube to the total surface area of all smaller cubes= 150/(125x6)
=1/5
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