To calculate the total surface area of the object with circular holes, we need to consider the areas of the faces with circular holes and the areas of the faces without circular holes separately.
1. Area of faces with circular holes:
- Since the area of a circle is given by the formula A = πr², where r is the radius, we need to find the total area of the circular holes on the faces. Let's denote this total area as A_holes.
2. Area of faces without circular holes:
- The area of the faces without holes contributes to the total surface area. Let's denote the total area of these faces as A_no_holes.
3. Total surface area:
- The total surface area is the sum of the areas of the faces with circular holes and the areas of the faces without holes, which is given as 11 582,869 cm².
To find the total surface area, you can use the following equation:
Total surface area = A_holes + A_no_holes
By calculating the individual areas of the faces with circular holes and faces without holes using the provided formula for the area of a circle, and then adding them together, you can determine the total surface area of the object.
Remember to substitute the given value of π as 3.142 when calculating the areas of the circles.
