The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). if the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

Given :

Volume of rectangular prism

Base Area of a rectangular prism =

 ---- (1)

Solution :

The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.

Let the height of the prism be h.

Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

For more information, refer the link given below

link

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25