A rectangular prism has dimensions of x + 1, x - 1, and x.
Write an expression for the total volume of the prism.
V = lwh
V = x * (x + 1) * (x - 1)
You have the dimensions (l, w, h). V = l*w*h
http://math.about.com/od/formulas/ss/surfaceareavol_4.htm
V=abc a-height b-width c-length
v=(x-1)(x+1)x
x^3-1
To find the volume of a rectangular prism, you need to multiply its length, width, and height together. In this case, the length is x + 1, the width is x - 1, and the height is x. So, the expression for the volume of the prism can be written as:
Volume = (x + 1) * (x - 1) * x
To simplify further, you can distribute the x to both terms inside the parentheses:
Volume = (x * x - x * 1 + 1 * x - 1 * 1) * x
Simplifying the expression inside the parentheses, you get:
Volume = (x^2 - x + x - 1) * x
Next, you can simplify the expression again:
Volume = (x^2 - 1) * x
So, the expression for the total volume of the rectangular prism is (x^2 - 1) * x.