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Question 92
In a big drum there are three cubes of ice whose edges are 5 cm, 7 cm and 9 cm respectively. The ice cubes are melted and formed into a single cube. Find the edge of a new cube (approximate value).
Solution
The volume of a cube is $$s^3$$, where s is the edge measure.
Hence, the volume of the three cubes is: 125 cub.cm, 343 cub.cm, and 729 cub.cm
When melted, the total volume is 1,197 cub.cm.
To find the cube's edge with the volume of 1,197 cub.cm, we shall find the cube root of this number, which happens to be 10.62 cm (approximately).
