Question

Bonjour!!!

What is the possible expression for the dimensions of the cuboid whose volume is given below ?

Volume : 12ky² + 8ky - 20k


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Answer 1

12ky2 + 8ky - 20k

4(3ky2 + 2ky - 5k)

4k(3y2 + 2y - 5)

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

 

Now we've got four factors, so there are several combinations of possible dimensions:

 

4, k, and (3y2 + 2y - 5)

4, (3y + 5), and (ky - k)

k, (3y + 5), and (4y - 4)

4, (y - 1), and (3ky + 5k)

k, (y - 1), and (12y + 20)

(3y + 5), (y - 1), and 4k

Hope this helps you !! ^_^

Answer 2

Question :

What are the possible expressions for the dimensions of the cuboid whose volume is 12ky² + 8ky - 20k ?

Solution :

Given volume = 12 ky²+7ky -20 k

To Find : It's Dimensions

Factorising it :

12 ky²+7ky -20 k

= 4k(3y²+2y-5)

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

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

Length = 4k

Breadth = 3y+5

Height = y-1