Answer:
George will need 901 squared cm of paint to paint the outside of one basket.
Explanation:
- We essentially want to find the surface area of the basket excluding the top portion.
Thus, we can find the area of the other five faces and the sum of these areas will give us the surface area of the basket in squared cm.
Total area of the front, back, left, and right face:
- We see that the front, back, left, and right faces all have the same dimensions, as they are all 9 cm by 17 cm.
Thus, we can find the area of one of these faces and later multiply it by 4 to find the total area these faces cover:
Note that the different dimensions indicates that these faces are rectangular and thus, we multiply 9 by 17 to find the area of one face:
A = 9 * 17
A = 153
Now we can multiply this area by 4 to find the total area covered by the back, front, left, and right faces:
4A = 4(153)
4A = 612
Thus, the basket's front, back, left, and right faces have a total area of 612 squared cm.
Area of the bottom face:
We see that the bottom face has the same dimensions as it is 17 cm by 17 cm.
Thus, it's a square and we can find its area by squaring 17:
A = 17^2
A = 289
Total area of the basket:
Now we can find how much paint George will need to paint the outside (i.e., the surface area represented by SA) by adding the total area of the front, back, left, and right faces and the bottom face:
SA = 612 + 289
SA = 901
Thus, George will need 901 squared cm of paint to paint the outside of one basket.