Answer:
Let's denote the dimensions of the rectangular box as length (L), width (W), and height (H).
The formula for the perimeter (P) of a rectangular box is given by:
\[ P = 4L + 4W + 4H \]
In this case, you're given that the perimeter is 20 inches:
\[ 20 = 4L + 4W + 4H \]
Dividing both sides by 4:
\[ 5 = L + W + H \]
Now, you want to find possible areas of the box. The area (A) of a rectangular box is given by:
\[ A = L \times W \times H \]
Since \(5 = L + W + H\), the possible areas can vary based on the values of L, W, and H. Here are two possible sets of dimensions:
1. If \(L = 1\), \(W = 2\), and \(H = 2