The surface area of a rectangular solid, also known as a rectangular prism, can be calculated using the formula:
- Surface Area (SA) = 2(lw + lh + wh)
Where:
- l: length
- w: width
- h: height
In this case, the dimensions of the rectangular solid are:
- Length (l) = 4 cm
- Width (w) = 6 cm
- Height (h) = 8 cm
Now, substituting the values into the formula:
- lw = 4 cm * 6 cm = 24 cm²
- lh = 4 cm * 8 cm = 32 cm²
- wh = 6 cm * 8 cm = 48 cm²
Next, sum these areas:
- lw + lh + wh = 24 cm² + 32 cm² + 48 cm² = 104 cm²
Finally, multiply by 2 to find the total surface area:
- SA = 2 * 104 cm² = 208 cm²
Therefore, the surface area of the rectangular solid is 208 square centimeters.