A box is the shape of a rectangular prism. It's volume is given as x^3-2x^2+x. Determine the dimensions.
Favorites|Homepage
Subscriptions | sitemap
HOME > > A box is the shape of a rectangular prism. It's volume is given as x^3-2x^2+x. Determine the dimensions.

A box is the shape of a rectangular prism. It's volume is given as x^3-2x^2+x. Determine the dimensions.

[From: ] [author: ] [Date: 11-12-08] [Hit: ]
So, the dimensions of the box may be x by (x-1) by (x-1).Note that the volume cannot be negative so x >= 1.(The volume is 0 unless x > 1.)-Looks like the dimensions are L, W,......
- A box is the shape of a rectangular prism.
- It's volume is given as x^3-2x^2+x.
- Determine the dimensions of the box.
-Please show all steps in the answer.

-
V = (length)(width)(depth)

V = x³ - 2x² + x
V = x(x² - 2x + 1)
V = x(x - 1)(x - 1)

Dimensions:
x by (x - 1) by (x - 1)

-
---

One possible solution is found by factoring the expression:

x^3 - 2x^2 + x = x(x-1)(x-1)

So, the dimensions of the box may be x by (x-1) by (x-1). Note that the volume cannot be negative so x >= 1. (The volume is 0 unless x > 1.)

-
Looks like the dimensions are L, W, H: X(X-1)(X-1)

You just factor into prime factors, the product that was given.

-
Without knowing the remainder of the equation, I don't understand how to solve the problem.

-
V = x(x^2 - 2x + 1) = x(x-1)(x-1)

L = x
W= x - 1
H = x - 1
1
keywords: box,of,dimensions,rectangular,shape,prism,is,given,039,volume,as,It,Determine,the,A box is the shape of a rectangular prism. It's volume is given as x^3-2x^2+x. Determine the dimensions.
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .