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Find the approximate change in the volume V of a cube of side x metres caused by increasing side by 1%.
Let be the side of a cube.
Then volume of the cube is equal to .
Now if side of cube is increase by 1% then new side of cube would be 1.1.
Similarly volume of new cube is equal to 1.452.
Hence change in volume is equal to 45.2%.
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The surface area of a cube (S) of side x is given by S = 6x2.
Hence, the approximate change in the surface area of the cube is 0.12x2 m2.
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