A tank of water in the shape of a cuboid has a length of 50 cm, a

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A tank of water in the shape of a cuboid has a length of 50 cm, a width of 25 cm and a height of 20 cm. The depth of water in the tank is 12cm as shown below. 

a. A cube of side length 10cm is placed at the bottom of the tank and the water level rises to a depth d cm as shown.  Calculate the depth of the water d cm. 

b. How many cubes can be placed in the tank before the water starts to spill over the top? Show all your working clearly.

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