Find the surface area of the given figure?
S = add up the area of all six sides of the box
6,9,8
Surface area = 2(6*9 + 9*8 + 6*8)
Surface area = 2(54 + 72 + 48)
Surface area = 2(174)
Surface area = 348 square units
To find the surface area of a box, you need to add up the area of all six sides.
Given that the lengths of the sides of the box are 6, 9, and 8 units, we can calculate the surface area as follows:
1. The top and bottom sides have the same area, so we calculate the area of one side and then multiply it by 2. The area of one side is 6 * 8 = 48 square units. Therefore, the total area of the top and bottom sides is 48 * 2 = 96 square units.
2. The left and right sides also have the same area, so we calculate the area of one side and multiply it by 2. The area of one side is 9 * 8 = 72 square units. Thus, the total area of the left and right sides is 72 * 2 = 144 square units.
3. The front and back sides are also equal, so we calculate the area of one side and then multiply it by 2. The area of one side is 6 * 9 = 54 square units. Hence, the total area of the front and back sides is 54 * 2 = 108 square units.
4. Finally, we add up the areas from steps 1, 2, and 3 to get the total surface area. 96 + 144 + 108 = 348 square units.
Therefore, the surface area of the given figure is 348 square units.