Step-by-step explanation:
To find the surface area of the gym bag, you first need to determine the area of each side and then sum them up. Since it's a rectangular piece of cloth, there are two sides with dimensions 40 inches by 52 inches and four sides with dimensions 40 inches by the height of the bag. Assuming the height of the bag is 'h' inches, the surface area formula would be:
Surface Area = 2*(40*52) + 4*(40*h)
To find the volume of the gym bag, you multiply its length, width, and height:
Volume = Length * Width * Height
= 40 * 52 * h
For the fabric required, you'd simply use the surface area formula and for the volume it can hold, you'd use the volume formula. However, without knowing the height of the bag, we can't calculate these values precisely. If you have a specific height in mind, let me know, and I can perform the calculations for you.