2 votes 2 votes 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 : $172\;cm^3$ $729 \;cm^3$ $271\;cm^3$ None of the options Unknown Category nielit-scb-2020 + – gatecse asked Dec 9, 2020 • edited Dec 12, 2020 by soujanyareddy13 gatecse 782 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes 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/ Lakshman Bhaiya answered Dec 10, 2020 Lakshman Bhaiya comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes initial side = 10 volume = a*a*a= 10*10*10 = 1000 nw side = 9 new volume = 9*9*9=729 change in volume = ( initial- final) 1000-729=271 hence c is correct anjli answered Dec 18, 2020 anjli comment Share Follow See all 0 reply Please log in or register to add a comment.