Question
The circumference of a square and the circumference of a
cube are equal. The numerical value of the total surface area of the cube is 25 times the perimeter of the square. The side length of the cube is 'y', which is the correct replacement of the wrong (odd one out) term in the following series? 3024, 756, 216, 72, 42, 14.4 Find the volume of the cube if all the dimensions of the cube and square are in centimetres.Solution
The given series follows the logic:  3024 ÷ 4 = 756  756 ÷ 3.5 = 216  216 ÷ 3 = 72  72 ÷ 2.5 = 28.8 (This should replace 84 as the correct sequence, adjusting the series accordingly)  28.8 ÷ 2 = 14.4  So, side length of the cube = y = 28.8 cm  So, volume of the cube = (side length)3 = 28.83 = 23887.872 cm³
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