Question : Two cubes of iron whose edges are 7 cm and 11 cm are melted and formed into a single cube. Find the volume of the new cube formed.
Option 1: 1881 cm3
Option 2: 1674 cm3
Option 3: 1444 cm3
Option 4: 1221 cm3
Correct Answer: 1674 cm 3
Solution :
The volume of a cube = (Side)
3
The volume of the first cube = 7
3
= 343 cm
3
The volume of the second cube = 11
3
= 1331 cm
3
When the two cubes are melted and formed into a single cube, the volume of the new cube is the sum of the volumes of the original cubes = 343 + 1331 = 1674 cm
3
Hence, the correct answer is 1674 cm
3
.
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