To calculate the total surface area of a rectangular prism, we use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \( l \), \( w \), and \( h \) are the length, width, and height of the rectangular prism, respectively.
Since you didn't provide the specific dimensions from the diagram, I'll demonstrate the calculation process using example dimensions. Let's say the dimensions are:
- Length \( l = 10 \) inches
- Width \( w = 5 \) inches
- Height \( h = 3 \) inches
Now substitute these values into the surface area formula:
- Calculate \( lw \):
\[ lw = 10 \times 5 = 50 \]
- Calculate \( lh \):
\[ lh = 10 \times 3 = 30 \]
- Calculate \( wh \):
\[ wh = 5 \times 3 = 15 \]
- Add these areas together:
\[ lw + lh + wh = 50 + 30 + 15 = 95 \]
- Finally, multiply by 2 to find the total surface area:
\[ \text{Surface Area} = 2 \times 95 = 190 \text{ square inches} \]
If you have the specific dimensions of the box, please provide them, and I can calculate the total surface area for those dimensions.