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Question : A solid metallic cube of side 9 cm and a solid metallic cuboid having dimensions 5 cm,13 cm, and 31 cm are melted to form a single cube. How much (in INR) is the cost to polish the new cube at a rate of INR 10 per cm2?

Option 1: 8,650

Option 2: 27,440

Option 3: 13,620

Option 4: 11,760


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 8th Jan, 2024

Correct Answer: 11,760


Solution : Volume of the cube = (side)= 9$^3$ = 729 cm3
Volume of the cuboid = 5 × 13 × 31 = 2015 cm3
Volume of the single cube = volume of cube + volume of cuboid = 729 + 2015 = 2744 cm3
Side of Recast cube ⇒ Side3 = 2744
⇒ Side = 14 cm
So the total surface area of the cube
= 6 × 14 × 14
= 1176 cm2
Cost of painting at Rs. 10 per cm2 = 10 × 1176 = Rs. 11760
Hence, the correct answer is 11760.

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