Question

Find out the expressions representing length, breadth and height of an expression 6x^3+11x^2+6x+1
representing volume of a cuboid​

Answer 1

Answer:

Step-by-step explanation:

Solution

Volume of cuboid is length × breadth × height

Here, the length is (x+3), breadth is (x−2) and height is (x−1).

Therefore, the volume of cuboid is:

length× breadth × height = (x+3)(x−2)(x−1)

Firstly multiply the first and second term as follows:

(x+3)(x−2)(x−1)=[(x×x)+(x×−2)+(3×x)+(3×−2)](x−1)

=(x

2

−2x+3x−6)(x−1)

=(x

2

+x−6)(x−1)

Now multiply the resulting expression:

(x

2

+x−6)(x−1)=(x

2

×x)+(x

2

×−1)+(x×x)+(x×−1)+(−6×x)+(−6×−1)

=x

3

−x

2

+x

2

−x−6x+6

=x

3

−7x+6

Hence, volume of cuboid id x

3

−7x+6.