[size=3]Hello, Tracy!

i have to make a rectangular prism with a surface area of 9 inē.

can you find the base side lengths and height?

As Jhevon pointed out, there is no one answer to this problem.

A rectangular prism is simply a "box" with length, width and height. Code:

*- - - - - - - -*
/ /|
/ / |H
* - - - - - - - * |
| | *
H| | /
| |/ W
* - - - - - - - *
L

The front and back panels have area $\displaystyle LH$ each: .$\displaystyle 2LH$

The top and bottom panels have area $\displaystyle LW$ each: .$\displaystyle 2LW$

The left and right panels have area $\displaystyle WH$ each: .$\displaystyle 2WH$

The total surface area is: .$\displaystyle 2LH + 2LW + 2WH \:=\:9$

We can use **any** three values of $\displaystyle L,\,W,\,H$ that satisfy the equation.

If we solve for $\displaystyle L$, we get: .$\displaystyle L \:=\:\frac{9 - 2WH}{2(W + H)} $

Let $\displaystyle W = 1,\,H = 1$, then: .$\displaystyle L = \frac{7}{4}$

. . A box with dimensions: $\displaystyle 1 \times 1 \times \frac{7}{4}$ will have a surface area of 9 inē.

Let $\displaystyle W = 1,\,H = 2$, then: .$\displaystyle L = \frac{5}{6}$

. . A box with dimensions: $\displaystyle 1 \times 2 \times \frac{5}{6}$ will have a surface area of 9 inē.

As you can see, the possibilities are endless.