A rectangular solid has sides of 7 cm, 9 cm, and 11 cm. What is its surface area?
Not even close. The solid has six surfaces -- three pairs of parallel rectangles. So, the area is
2(7*9 + 7*11 + 9*11) = 478
To find the surface area of a rectangular solid, we need to calculate the area of each face and then add them all together.
The rectangular solid has dimensions of 7 cm, 9 cm, and 11 cm.
1. Calculate the area of the first face:
- The first face has dimensions 7 cm by 9 cm.
- The area of the first face is 7 cm * 9 cm = 63 sq cm.
2. Calculate the area of the second face:
- The second face has dimensions 7 cm by 11 cm.
- The area of the second face is 7 cm * 11 cm = 77 sq cm.
3. Calculate the area of the third face:
- The third face has dimensions 9 cm by 11 cm.
- The area of the third face is 9 cm * 11 cm = 99 sq cm.
4. Calculate the area of the fourth face:
- The fourth face is the same size as the first face (7 cm by 9 cm).
- The area of the fourth face is also 63 sq cm.
5. Calculate the area of the fifth face:
- The fifth face is the same size as the second face (7 cm by 11 cm).
- The area of the fifth face is also 77 sq cm.
6. Calculate the area of the sixth face:
- The sixth face is the same size as the third face (9 cm by 11 cm).
- The area of the sixth face is also 99 sq cm.
7. Add up all the face areas to find the total surface area:
- Total surface area = 63 sq cm + 77 sq cm + 99 sq cm + 63 sq cm + 77 sq cm + 99 sq cm
- Total surface area = 378 sq cm.
Therefore, the surface area of the rectangular solid is 378 square centimeters.
To find the surface area of a rectangular solid, you need to add up the areas of all six sides.
In this case, the given dimensions of the rectangular solid are 7 cm, 9 cm, and 11 cm.
To find the surface area, you need to calculate the area of each side and then add them up.
The rectangular solid has three pairs of opposite sides, with dimensions of 7 cm by 9 cm, 7 cm by 11 cm, and 9 cm by 11 cm.
Let's calculate the area of each side:
- The area of a side with dimensions 7 cm by 9 cm is 7 cm multiplied by 9 cm, which equals 63 cm².
- The area of a side with dimensions 7 cm by 11 cm is 7 cm multiplied by 11 cm, which equals 77 cm².
- The area of a side with dimensions 9 cm by 11 cm is 9 cm multiplied by 11 cm, which equals 99 cm².
Now, add up the areas of all six sides:
63 cm² + 63 cm² + 77 cm² + 77 cm² + 99 cm² + 99 cm² = 378 cm² + 154 cm² + 198 cm² = 730 cm².
Therefore, the surface area of the rectangular solid is 730 cm².