find the volume of a prism whose dimensions are x cm, (x+2) cm and (x-1) cm in its simplest form
What kind of a prism?
https://www.varsitytutors.com/hotmath/hotmath_help/topics/volume-of-a-prism
I think maybe it is assumed a rectangular prism ?
(x^2+2x)(x-1) = x^3 + x^2 - 2x
To find the volume of a prism, we need to multiply the dimensions of its base (a rectangle) by its height. In this case, the base of the prism is a rectangle with dimensions x cm and (x+2) cm, and the height of the prism is (x-1) cm.
So, the volume of the prism can be calculated as:
Volume = base area * height
First, let's find the base area. The area of a rectangle is given by the formula: area = length * width.
Base area = (x cm) * (x+2 cm) = x(x+2) cm²
Now, multiplying the base area by the height, we get:
Volume = (x(x+2) cm²) * (x-1 cm)
= x(x+2)(x-1) cm³
This expression represents the volume of the prism with the given dimensions in its simplest form.