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A solid metallic cube of side 9 cm and a solid...

This question belongs to Arithmetic Ability Mensuration 3D
Mensuration 3D
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A solid metallic cube of side 9 cm and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted to form a single cube. How much (in Rs.) is the cost to polish the new at a rate of Rs. 10 per cm2?

Answer & Solution
Correct Answer: Option C
Volume of cube = 93 = 729
Volume of cuboid = 5 × 31 × 13 = 2015
Total volume = 729 + 2015 = 2744
Let volume of new cube = a3
a3 = 2744
a = 14
T.S.A = 6 × 142 = 6 × 196
The cost of polish = 6 × 196 × 10 = Rs. 11760
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