To find the surface area of a rectangular solid (also known as a rectangular prism), we can use the formula:
Surface Area = 2(lw + lh + wh)
where l is the length, w is the width, and h is the height of the solid.
In this case, we have:
- l = 4 cm
- w = 6 cm
- h = 8 cm
Now, let’s plug these values into the formula:
Surface Area = 2((4 cm * 6 cm) + (4 cm * 8 cm) + (6 cm * 8 cm))
Calculating each part:
- 4 cm * 6 cm = 24 cm²
- 4 cm * 8 cm = 32 cm²
- 6 cm * 8 cm = 48 cm²
Now, we’ll add these values together:
24 cm² + 32 cm² + 48 cm² = 104 cm²
Finally, we multiply by 2:
Surface Area = 2 * 104 cm² = 208 cm²
So, the surface area of the rectangular solid is 208 cm².