Step-by-step explanation:
To find the surface area of the box, we need to calculate the areas of all six faces and then sum them up.
Let's denote the dimensions of the box as follows:
- Length (l)
- Width (w)
- Height (h)
The six faces of the box are:
1. Top face: \( l \times w \)
2. Bottom face: \( l \times w \)
3. Front face: \( l \times h \)
4. Back face: \( l \times h \)
5. Left side face: \( w \times h \)
6. Right side face: \( w \times h \)
To find the total surface area, we sum up the areas of all six faces:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
This formula accounts for the fact that there are two of each face (except for the top and bottom faces, which have the same area).
Now, we need the dimensions of the box to calculate the surface area. If you provide the dimensions (length, width, and height), I can calculate the surface area for you.
