To calculate the total surface area of a rectangular prism (box), you can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \(l\) is the length, \(w\) is the width, and \(h\) is the height of the box.
Since the specific dimensions of the box were not provided in your request, let's assume the dimensions of the box are as follows:
- Length (\(l\)) = 10 inches
- Width (\(w\)) = 5 inches
- Height (\(h\)) = 2 inches
Now, substitute these values into the surface area formula:
- Calculate \(lw\), \(lh\), and \(wh\):
\[ lw = 10 , \text{inches} \times 5 , \text{inches} = 50 , \text{square inches} \]
\[ lh = 10 , \text{inches} \times 2 , \text{inches} = 20 , \text{square inches} \]
\[ wh = 5 , \text{inches} \times 2 , \text{inches} = 10 , \text{square inches} \]
- Add these areas together:
\[ lw + lh + wh = 50 + 20 + 10 = 80 , \text{square inches} \]
- Multiply the sum by 2 to find the total surface area:
\[ \text{Surface Area} = 2 \times 80 = 160 , \text{square inches} \]
If you have different dimensions for the box, please provide them, and I can calculate the total surface area accordingly. Otherwise, based on the assumed dimensions above, the total surface area of the box is 160 square inches.