1.

MATHEMATensions of the cuboids whose volume16. What are the possible expressare given belowVolume: 12ky+ Sky -- 20kVolume: 3r-127

Answer»

Solution:

(i)Volume : 3x² – 12x

Since,volume is product of length, breadth and height therefore by factorizing thegiven volume, we can know the length, breadth and height of the cuboid.

3x²–12x

=3x(x – 4)

Hence,possibleexpression for length = 3

Possibleexpression for breadth = x

Possibleexpression for height = (x – 4)

(ii)Volume : 12ky² + 8ky – 20k

Since,volume is product of length, breadth and height therefore by factorizing thegiven volume, we can know the length, breadth and height of the cuboid.

12ky²+ 8ky – 20k

=4k(3y² + 2y – 5)

[Bymiddle term splitting]

=4k(3y² +5y-3y-5)

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

= 4k(3y +5) (y – 1)

Hence,possibleexpression for length = 4k

Possibleexpression for breadth = (3y +5)

Possibleexpression for height = (y – 1)


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