Question

Find length and breath from this given volume
12ky^2+8ky-2ok

Answer 1

Given :

• Volume = 12ky² + 8ky - 20k

To Find :

• Length , Breadth of thr given figure

Solution :

⇒ 12ky² + 8ky - 20k

⇒ 4K [ 3y² + 2y - 5 ]

⇒ 4k [ 3y² + 5y - 3y - 5 ]

⇒ 4k [ y ( 3y + 5 ) - 1 ( 3y + 5 ) ]

⇒ ( 4k ) ( y - 1 ) ( 3y + 5 )

Length = 4k

Breadth = y - 1

Height = 3y + 5

Answer 2

$\huge\boxed{\fcolorbox{red}{yellow}{Answer}}$

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)

$<marquee>Thanks☺️</marquee>$