Question

find the length,breadth and hieght,if the volume of a cuboid is 12ky²+8ky-20k​

Answer 1

Answer:

Step-by-step explanation:

Volume : 12ky² + 8ky – 20k

Since,

volume is product of length, breadth and height therefore by factorizing the

given volume, we can know the length, breadth and height of the cuboid.

12ky²

+ 8ky – 20k

=

4k(3y² + 2y – 5)

[By

middle term splitting]

=

4k(3y² +5y-3y-5)

= 4k[y(3y+5)-1(3y+

5)]

= 4k

(3y +5) (y – 1)

 

Hence,possible

expression for length = 4k

Possible

expression for breadth = (3y +5)

Possible

expression for height = (y – 1)

 

Answer 2

ANSWER :

length = 4k

breadth = y+1

height= 3y-5

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Step-by-step explanation:

volume = 12ky^2 + 8ky - 20k

12ky^2 + 8 k y - 20 k

= 4K [ 3y ^2 + 2y - 5 ]

= 4k[ 3y^2 + 3y^2 -5 y - 5 ]

= 4k [ 3y(y+1) - 5(y+1)]

= 4k(y+1)(3y-5)