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What is the edge of a cube whose volume is equal to the sum of the volumes of the cubes of edge 6 cm, 8 cm and 10 cm? |
5 cm 3 cm 6 cm 12 cm |
12 cm |
Let the edge of new cube = s cm. Volume of the new cube = Sum of the volumes of all the three smaller cubes = s3 = 63 + 83 + 103 = s3 = 216 + 512 + 1000 = s3 = 1728 = s3 = 123 = s = 12 cm |
