Three metal cubes whose edges measure 3cm , 4cm, 5cm respectively are melted to form a single cube find its edge.
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Answer :
The edge of a single cube after melting these three cubes is 6 cm.
Step-by-step explanation :
Given, three metal cubes whose edges measure 3 cm , 4 cm, 5 cm respectively are melted to form a single cube.
Sum of volume of three cubes = Volume of a single cube
⇒ (3)³ + (4)³ + (5)³ = a³
⇒ 27 + 64 + 125 = a³
⇒ 216 = a³
⇒ ³√216 = a
⇒ a = 6 cm
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