If the height of a cube is reduced by 2cm, it becomes a cuboid. At this time, the surface area is reduced by 56cm. What is the volume of the original cube

Let the edge length of the original cube be a
Then the length of the three edges of the cuboid is a, a, A-2
Surface area = 2 × [a × a + a × (A-2) + a × (A-2)]
=2×(3a²-4a)
=6a²-8a
Original surface area = 6A & sup2;
Reduced amount = 8A = 56
So a = 7
Volume = 7 × 7 × 7 = 343

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