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Question

# Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.

A

8cm

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B

9cm

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C

7cm

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D

6cm

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Solution

## The correct option is D 6cm Given edge of three solid cubes are 3 cm , 4 cm and 5 cm respectively Volume of first cube =(3)3=27cm3 Volume of second cube =(4)3=64cm3 And Volume of third cube =(5)3=125cm3 ∴ Sum of volume of three cubes =(27+64+125)=216cm3 Let the edge of the resulting cube R = cm Then, volume of the resulting cube, R3=216⇒R=6cm.

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