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The difference in compressive strength is due to the difference between the modulus of elasticity of concrete and that of the steel which is used to apply the compressive force on the concrete. The pressure applies a lateral confinement pressure which is equal to d/3 meaning that for the cylinder, 2d/3 is confined leaving d/3 unconfined whereas for the cylinder 2d/3 is confined means all of the cube is confined. This leads to the cube having a higher compressive strength that the cylinder. For more information, try to read about the triaxial test and the effect of confinement on the compressive strength of soil samples.

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Q: Different between cube and cylinder in concrete compressive test?
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