A cube of side x rests on a floor. Given that the pressure exerted by the cube on the floor is P,what will be the pressure exerted by the cube of the same material of side 4x?(take g=10m/s^2).
(A)P
(B) 2p
(C)4p
(D)16P

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Solution

P1 = F/A1

P2 = F / A2

P1/P2 = A2/ A1

area of base smaller cube of side x = x^2

Area of base of larger cube of side 4x = (4x)^2 = 16x^2

P1 / P2 = 16x^2/ x^2

P1 / P2 = 16

Ans: D) 16 P

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