Three cubes of metal with edges 3 cm 4 cm and 5 cm respectively are melted to form a single cube find the lateral surface area of the new cube formed

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Solution

cubes with edge 5,3,4
volume of eah cube will be
=(5×5×5),(4×4×4), (3×3×3)
=125cm3,64cm3,27cm3
total volume will be 125+64+27=216cm3
this volume will be of new formed cube
side of cube =cube root of volume
= 6
lateral surface area of cube is 4×(side×side)
=4×(6×6) =4×36 =144cm2

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Three cubes of metal with edges 3 cm 4 cm and 5 cm respectively are melted to form a single cube find the lateral surface area of the new cube formed

cubes with edge 5,3,4 volume of eah cube will be =(5×5×5),(4×4×4), (3×3×3) =125cm3,64cm3,27cm3 total volume will be 125+64+27=216cm3 this volume will be of new formed cube side of cube =cube root of volume = 6 lateral surface area of cube is 4×(side×side) =4×(6×6) =4×36 =144cm2

cubes with edge 5,3,4
volume of eah cube will be
=(5×5×5),(4×4×4), (3×3×3)
=125cm3,64cm3,27cm3
total volume will be 125+64+27=216cm3
this volume will be of new formed cube
side of cube =cube root of volume
= 6
lateral surface area of cube is 4×(side×side)
=4×(6×6) =4×36 =144cm2