three solid metal cube with edges 6 CM, 8 cm and 10 cm respectively are melted together and formed into a single cube. find the volume of a new cube
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Q:-Three solid metal cubes with edges 6cm, 8 cm and 10cm respectively are melted together and formed into a single cube find the volume of the new cube.
Method of solution
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side of cube 1 = 6cm
volume of cube 1 =(6×6×6)cm³=216cm³
side of cube 2=8cm
volume of cube 2 = (8×8×8)cm³=512cm³
side of cube 3= 10cm
volume of cube 2= (10×10×10)cm³=1000cm³
Volume of metal of 3 cubes
=(216+512+1000)cm³
=1728cm³
•°•Volume of new cube =1728cm³
•°•side of new cube = ³√1728cm³
= ³√12×12×12cm
=12cm
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Q:-Three solid metal cubes with edges 6cm, 8 cm and 10cm respectively are melted together and formed into a single cube find the volume of the new cube.
Method of solution
-----------------------------
side of cube 1 = 6cm
volume of cube 1 =(6×6×6)cm³=216cm³
side of cube 2=8cm
volume of cube 2 = (8×8×8)cm³=512cm³
side of cube 3= 10cm
volume of cube 2= (10×10×10)cm³=1000cm³
Volume of metal of 3 cubes
=(216+512+1000)cm³
=1728cm³
•°•Volume of new cube =1728cm³
•°•side of new cube = ³√1728cm³
= ³√12×12×12cm
=12cm
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