Three metal cubes with edges 6cm, 8 cm and 10 cm respectively melt down and form a single cube. Find the volume of the new cube. Also find the edge of the new cube with its total surface area.
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Volumes of respective cubes applying a³ formula,
We get 216cm³, 512cm³ and 10000cm³.
The total volume of the cube would be 216+512+1000
= 728+1000 = 1728cm³
The edge of the new cube is ∛1728 = 12cm.
The TSA of the new cube would be 6a²
= 6 x 12² = 6 x 144 = 864cm²
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