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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.



Your Answer
A

8cm

Your Answer
B

9cm

Your Answer
C

7cm

Correct Answer
D

6cm


Solution

The correct option is C

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=216R=6cm.

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