Question

What is the area of the sides?


7+3=10x2=20in


7x3x2=42in


7x3=21in

Answer 1

To find the area of the sides of a rectangular prism (or a box), we need to calculate the area of each pair of opposite sides and then sum these areas.

From the values you've provided, it looks like you might be trying to determine three dimensions of a box: length (7 inches), width (3 inches), and height (2 inches).

### Area Calculation

1. **Front and Back Sides:**
- Area = Length × Height
- Area = 7 in × 2 in = 14 in² (Each side)
- Total for both = 14 in² × 2 = 28 in²

2. **Left and Right Sides:**
- Area = Width × Height
- Area = 3 in × 2 in = 6 in² (Each side)
- Total for both = 6 in² × 2 = 12 in²

3. **Top and Bottom Sides:**
- Area = Length × Width
- Area = 7 in × 3 in = 21 in² (Each side)
- Total for both = 21 in² × 2 = 42 in²

### Total Surface Area Calculation
Now, sum the areas of all the sides:

\[
\text{Total Area} = \text{Area of Front/Back} + \text{Area of Left/Right} + \text{Area of Top/Bottom}
\]
\[
\text{Total Area} = 28 \text{ in}^2 + 12 \text{ in}^2 + 42 \text{ in}^2 = 82 \text{ in}^2
\]

So, the total surface area of the sides of the rectangular prism is **82 square inches**.