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CBSE Class 9 Answered

three cubes of a metal whose edges are in ratio 3:4:5 are melted and converted into a single cube whose diagonal is 12root 3 cm find the edges of the three cubes .
Asked by prernasaraf123 | 23 Jan, 2018, 01:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space edges space of space three space cubes space be space 3 straight x comma space 4 straight x space and space 5 straight x space respectively. Volume space of space three space cubes equals left parenthesis 3 straight x right parenthesis cubed plus left parenthesis 4 straight x right parenthesis cubed plus left parenthesis 5 straight x right parenthesis cubed equals 216 straight x cubed space cm cubed Let space straight a space be space the space edge space of space new space cube space so space formed. Now comma space Volume space of space new space cube equals Volume space of space three space cubes rightwards double arrow straight a cubed equals 216 straight x cubed rightwards double arrow straight a equals 6 straight x Diagonal space of space new space cube equals 12 square root of 3 space cm rightwards double arrow square root of straight a squared plus straight a squared plus straight a squared end root equals 12 square root of 3 rightwards double arrow square root of 3 straight a equals 12 square root of 3 rightwards double arrow straight a equals 12 rightwards double arrow straight x equals 2 rightwards double arrow 3 straight x equals 6 space cm comma space 4 straight x equals 8 cm space and space 5 straight x equals 10 space cm end style
Answered by Rashmi Khot | 24 Jan, 2018, 10:25: AM

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CBSE 9 - Maths
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