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Question

A wooden cuboid is 24 cm by 30 cm by 36 cm. Cubes of equal sides are cut off from all its corners. The volume of the remaining block is 20088 cm3. What is the length of the edge of each cube cut off from the cuboid?
  1. 6 cm
  2. 9 cm
  3. 1 cm
  4. 7 cm


Solution

The correct option is B 9 cm
Volume cut = Initial volume of cuboid – volume of remaining figure
=((24×30×36)20088)cm3=(2592020088)cm3=5832 cm3
So,  Volume of  each of the smaller cubes
V = (58328)cm3(one for each corner for a total of 8 corners) =729=(9)3 cm3
So, Length of a side of smaller cubes = 9 cm

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