The surface area of a cube is 486 cm2 and melted into small cubes each of 54 mm2 surface area Find t...........

Quantitative Aptitude ( CCS) Mensuration 3D

The surface area of a cube is 486 cm² and melted into small cubes, each of 54 mm² surface area. Find the number of small cube

27,000

400

8,000

800

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Explanation:

Explanation: Surface area of larger cube = 486cm²
∴6L² = 486
⇒ L² = 81 ⇒ L = 9cm.
∴ Volume of larger cube = 9 x 9 x 9 = 729 cm³.
Surface area of smaller cube = 54mm² = 54/100 cm².
∴6l² = 54/100
⇒ l² = 0.09 ⇒ 1 = 0.3cm.
Volume of smaller cube = 0.3 x 0.3 x 0.3
= 0.027 cm³.
&there; x = 729/0.027 = 27000.