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Question

Two rectangular solid metallic cuboids 12cm×10cm×5cm and 12cm×5cm×4cm are melted together and recast into solid cubes each of side 2cm. How many solid cubes can be made from the metal?

A
105
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B
100
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C
96
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D
80
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Solution

The correct option is A 105
Number of cubes formed =Volume of cylinder 1 + Volume of cylinder 2Volume of one cube
Volume of a cube of edge a=a3
Volume of a cuboid of length l, breadth b and height h =l×b×h.
Hence, number of cubes formed =(12×10×5)+(12×5×4)2×2×2=105


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