Question

the volume of box is 1200 unit cubes having 6 equal layers find the no. of unit cubes in one layer ​

Answer 1

Since, the base of a wooden box can be filled with a layer of 60 unit cubes which is equal to 60 *1cm^2 cubes =60 cm^2 of cubes which means that length *breadth of the box =60

and Since, it is given that 20 such layers can completely fill the box which means that one layer stacked over another and so on till 20 such layers are stacked upon each other which means height of the cuboid = 20cm

Since , volume of a cuboid (it is a cuboid because it is a box and it also has three varying dimensions namely - length,breadth and height) = length*breadth*height = lbh = 20*60cm^2 = 1200 cm^2 =1200 such unit cubes

Therefore, the answer = 1200 unit cubes

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