If a cube with length, height and width equal to $10\; cm$, is reduced to a smaller cube of height, length and width of $9\; cm$ then reduction in volume is :
A cube is a rectangular solid whose length, width and height are equal. Volume of cube $ V = a^{3},$ where $a = $ side length of cube Now, $V_{1} = 10^{3}\:\text{cm}^{3} = 1000\:\text{cm}^{3},$ and $V_{2} = 9^{3}\:\text{cm}^{3} = 729\:\text{cm}^{3}$ Reduction in volume $ = V_{1} – V_{2} = 1000 – 729 = 271\:\text{cm}^{3}.$ So, the correct answer is $(C).$
Ref: https://brilliant.org/wiki/volume-problem-solving-easy/
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