Okay so this is a really long problem to explain by text, therefore, I will briefly describe all the steps and id you need further explanations, don't hesitate to send me a message and I'll comment more :
1. Calculate how many soaps she produces a week
2. Calculate the surface area of the soap : a) Calculate the area of the front of the soap. To do so, calculate the area of the circle formed with the two half-circle sides of the front of the soap (see how it's like a rectangle with 2 half-circles on each side? those) Use the formula pi*rayon*rayon Then calculate the area of the rectangle. Add the total to have the area of the front side of the soap. b) Calculate the area of the surface around the soap (what's in between the two edges of the soap) Look at it as if it was a rectangle sheet that was curved to form the soap. It's like with a cylinder, the around is a rectangle.) To find its surface, you need to know the circonference of the circle formed by the 2 half-circles + 2 times the length of the front surface. This will give you the length of the edge of the soap, and if you time that by the height of the soap, which is 10 cm, you get the surface of the arounds of the soap. c) Calculate the whole surface area of the soap.
Add the front area times 2 (front and back) and the arounds surface area.
3. Calculate the amount of paper needed for 1 soap. Surface area of the soap * 120%.
4. Calculate the amount of paper needed for all soaps : amount of soaps * amount of paper needed for 1 soap
5. Calculate the number of papers needed by dividing the amount by the size of 1 paper, which is 5m square.
