Three cubes whose edges are 7 cm. 9 cm and 11 cm, respectively are melted to form a single new cube. Find the side of the new cube.
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Step-by-step explanation:
Given,
cube 1 : edge =3 cm
Volume of cube 1 =3
3
=27 cc
cube 2 : edge =4 cm
Volume of cube 2 =4
3
=64 cc
cube 3 : edge =5 cm
Volume of cube 3 =5
3
=125 cc
Total volume =27+64+125=216 cc
Volume of new cube with side a=a
3
⇒a
3
=216
⇒a=
3
216
=6 cm.
Therefore, side of new cube =6 cm
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