Find the surface area of the given figure?
S = add up the area of all six sides of the box
6,6,8
The surface area of the box is:
2(6x6) + 2(6x8) + 2(8x6) = 72 + 96 + 96 = 264 square units
To find the surface area of a box, you need to add up the area of all six sides. The given dimensions are 6, 6, and 8.
The box has two pairs of sides that are parallel and equal in length. Let's start by calculating the area of these two pairs of sides.
1. The first pair of sides has dimensions 6 and 6. The area of one side is 6 * 6 = 36 square units.
2. The second pair of sides also has dimensions 6 and 6. So, the area of one side is also 6 * 6 = 36 square units.
Next, let's calculate the area of the remaining two sides:
3. The third side has dimensions 6 and 8. The area of this side is 6 * 8 = 48 square units.
4. The fourth side is identical to the third side, so it also has an area of 48 square units.
Now, we add up the areas of all the sides:
36 + 36 + 48 + 48 = 168
Therefore, the surface area of the given figure (box) is 168 square units.