Question
Three cubes with sides in the ratio 3 : 4 : 5 are melted to form a single cube whose diagonal is `12sqrt(3) `cm .The sides of the cubes are :
Answer: Option B
Was this answer helpful ?
Let he sides of the three cubes be `3x , 4x and 5x`
Then , Volume of the new cube = `[(3x)^3 + (4x)^3 + (5x)^3] = 216x^3`
Edge of he new cube = `(216x^3)^(1/3) = 6x`
Diagonal of the new cube = `6sqrt(3) x`
`:.` `6sqrt(3) x = 12sqrt(3)`
`rArr x = 2.`
So , the sides of the cubes are 6 cm, 8 cm and 10 cm.
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution