find the volume of a rectangular prism that has the following dimensions:

width=2x+5
Length=4x-5
height=2x^2+3x-2

1 answer

To find the volume of a rectangular prism, you need to multiply the length, width, and height.

So the volume of the rectangular prism is:

(2x+5) * (4x-5) * (2x^2 + 3x - 2)

Now let's simplify this expression by multiplying the terms together:

V = (8x^3 + 12x^2 - 8x) + (20x^2 + 30x - 20) + (-10x + 15 - 10)

Combining like terms:

V = 8x^3 + 32x^2 + 14x - 15

Therefore, the volume of the rectangular prism with the given dimensions is 8x^3 + 32x^2 + 14x - 15.