3 solid cubes of side 3cm , 4cm, 5cm are melted and transformed into a single cube . Find the side of the new cube.
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Step-by-step explanation:
Given, edges of three solid cubes are 3 cm, 4 cm and 5 cm, respectively.
∴ Volume of first cube = (3)³ = 27 cm³
Volume of second cube = (4)³ = 64 cm³
and volume of third cube = (5)³ = 125 cm³
∴ Sum of volume of three cubes = (27 + 64 + 125) = 216 cm³
Let the edge of the resulting cube = R cm
Then, volume of the resulting cube, R3 =216
⇒ R = 6 cm
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