Question
Three cubes of sides 4cm. 5cm and 6cm are melted
together and a bigger cube is made. Find the side of the new cube. (a)`3sqrt15` cm (b)`3 root(3)(15)` cm (c) `2root(3)(15)` cm (d) `2sqrt15` cmSolution
Total volume of cubes = 43 + 53 + 63 = 64 + 125 + 216 = 405 cm3 Side of the new cube = `root(3)(405)=root(3)(3xx3xx3xx3xx5)=3root(3)(15)` cm.
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