Question
Download Solution PDFA metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Side of a large cube = 12 cm
Size of 1st small cube = 6 cm
Size of 2nd small cube = 8 cm
Concept used:
Volume of large cube = total volume of small cubes
Formula used:
Volume of cube = (side)3
Calculation:
Let the side of 3rd cube = x
Volume of large cube = total volume of three cubes
⇒ (12)3 = (6)3 + (8)3 + (x)3
⇒ 1728 = 216 + 512 + x3
⇒ x3 = 1728 - 728
⇒ x = 3√1000 = 10 cm
∴ The correct answer is 10 cm.
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