Question

the volume of ractangular solid is 2xcube +7xsquare+2x-3 .its length and width are 2x-1 and x+3 .find its height​

Answer 1

Step-by-step explanation:

Given that volume of a rectangular solid(cuboid) is

2x³+7x²+2x-3 and Its length and width are 2x-1 and x+3.

Now we have to calculate the height of the rectangular solid.

As we know that

volume of cuboid = L × B × H.

So,

(2x - 1) × (x + 3) × H =

2x³+7x²+2x-3

2x²+5x-3 × H = 2x³+7x²+2x-3

H = \dfrac{2 {x}^{3} + 7 {x}^{2} + 2x - 3 }{2 {x}^{2} + 5 x - 3}H=

2x

2

+5x−3

2x

3

+7x

2

+2x−3

Now,

We can calculate the value of height of the cuboid by solving about division as shown in attachment