Three cubes whose edges measure 3cm 4cm and 5cm
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Three cubes whose edges measure 3cm,4cm,5cm respectively to form a single cube.Find its edge.Also find the surface area of the new cube.
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Answer:
Edge of 1st cube = 3cm
Volume of 1st cube = edge^3
=3^3
=27cm^3
Edge of 2nd cube=4cm
Volume of 2nd cube =4^3
=64cm^3
Edge of 3rd cube =5cm
Volume of 3rd cube =5^3
=125cm^3
Total volume of the 3 cubes =Volume of new cube
Volume of new cube = 27 +64+125cm^3
=216cm^3
Edge^3=216
Edge=6cm
Surface area of the new cube = 6×edge^2
=6×6^2
=216cm^2
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