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Ifeach edge of a cube is doubled,(0 how many times will its surface area increase?how many times wil its volume increase?4. |
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Answer» Let edge a of cube be doubled to 2 a. 1. Area = 6 a^2 = 6 * (2a)^2 = 6* 4 a^2 = 24 a^2. Surface area increases 4 times. 2. Volume =a3= (2 a)^2 = 8 a^3. Volume increases 8 times. Surface are of cube of edge 'a'is given by : "6a"andIts, Volume is 'a^3' so if the edge of the cube is doubled then the new edge will be 2aso its surface area will be = 6*2a = 12a = 2 times 6aand volume will be=(2a)^3 = 8a^3 = 8 times a^3 therefore, its surface area increases 2 times and its volume will increases 8 times |
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