 Hello and welcome to the session. Today I will help you with the following question. The question says a cuboid is of dimensions 60 cm x 54 cm x 30 cm. How many small cubes inside 6 cm can be placed in the given cuboid? We know that the volume of cuboid is equal to n multiplied by b multiplied by h where l is the length of cuboid, b is the breadth of cuboid and h is the height of cuboid. And then volume of cube is equal to l cube where l is the length of cube. This is the key idea for this question. Now let's move on to the solution. Volume of cuboid given to us is 60 cm x 54 cm x 30 cm which is equal to 97,200 cm cube. The side of cube given to us is 6 cm. So now volume of 1 cube is equal to l cube where l is 6 cm so 6 whole cube which is equal to 216 cm cube. The number of cubes in a given cuboid is equal to volume of cuboid upon volume of 1 cube. And this is equal to 97,200 upon 216. Then again 72 3 times is 216 and 32,400 3 times is 97,200. 24 3 times is 72. 10,800 3 times is 32,400. Then again 8 3 times is 24 and 3600 3 times is 10,800. And then we have 8 450 times is 3600. So this is equal to 450. Thus we have that the number of cubes that can be placed in a given cuboid is equal to 450. Hence our final answer is 450. So hope you enjoyed the session. Have a good day.