Three solid cubes of sides 8 cm, 1 cm, and 6 cm, respectively, are melted to form a new cube. Find the longest diagonal of the new cube.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 9√3cm
The edge of new formed cube be x
Volume of three cubes = Volume of new cube
13 + 83 + 63 = x3
1 + 512 + 216 = x3
729 = x3
9 = x
longest diagonal of the new cube = edge(3)1/2 = 9√3 cm