Question

16. What are the possible polynomial expressions for the dimensions of the cuboids whose
volumes are given below?
(i) 3x - 12x (i) 12y + 8y - 20​

Answer 1

Answer:

Correct option is

B

3x(x−2)(x+2)

Given volume of cuboids is 3x

3

−12x

The volume of cuboid =lbh =3x(x

2

−4)

We know x

2

−y

2

=(x+y)(x−y)

∴3x(x

2

−4) =3x(x+2)(x−2)

Then dimensions are 3x,(x+2) and (x−2).

Answer 2

Answer:

Correct option is

B

3x(x−2)(x+2)

Given volume of cuboids is 3x

3

−12x

The volume of cuboid =lbh =3x(x

2

−4)

We know x

2

−y

2

=(x+y)(x−y)

∴3x(x

2

−4) =3x(x+2)(x−2)

Then dimensions are 3x,(x+2) and (x−2).