Please help with this problem.
Compute the following volume and surface area.
A rectangular solid has sides of 7 cm, 9 cm, and 11 cm. What is its surface area.
________ square centimeters
2(7*9 + 7*11 + 9*11) = 478
To find the surface area of a rectangular solid, we need to calculate the areas of all six faces and then add them together.
The rectangular solid has dimensions of 7 cm, 9 cm, and 11 cm:
- The top and bottom faces have dimensions of 7 cm by 9 cm, so each of these faces has an area of 7 cm * 9 cm = 63 square cm.
- The front and back faces have dimensions of 7 cm by 11 cm, so each of these faces has an area of 7 cm * 11 cm = 77 square cm.
- The left and right faces have dimensions of 9 cm by 11 cm, so each of these faces has an area of 9 cm * 11 cm = 99 square cm.
To find the total surface area, we add the areas of all six faces:
Total Surface Area = 2 * (Top area + Front area + Left area)
= 2 * (63 + 77 + 99)
= 2 * 239
= 478 square cm
Therefore, the surface area of the rectangular solid is 478 square centimeters.