A solid metallic cube of side 9 cm and a solid

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?

A. 8,650

B. 27,440

C. 11,760

D. 13,620

Answer: Option C

Solution (By Examveda Team)

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

A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:

A. $${2^{\frac{3}{2}}}:1$$

B. $${2^{\frac{2}{3}}}:1$$

C. $${4^{\frac{2}{3}}}:1$$

D. $${2^{\frac{1}{3}}}:1$$

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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?

Solution (By Examveda Team)

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