Calculation of the Area of the Required Cardboard

To find the area of the required cardboard to make 5 such boxes, we need to calculate the total surface area of one box and then multiply it by 5.

Step 1: Calculate the Surface Area of One Box

The surface area of a rectangular box can be calculated by adding the areas of all its faces.

Given dimensions of the box:
Length (l) = 60 cm
Width (w) = 38 cm
Height (h) = 25 cm

The area of each face can be calculated as follows:

- Top and bottom faces: The top and bottom faces of the box have the same dimensions, so we can calculate the area of one face and then multiply it by 2.
- Area of one top/bottom face = length × width = 60 cm × 38 cm = 2280 cm²
- Area of both top and bottom faces = 2 × 2280 cm² = 4560 cm²

- Side faces: The box has four side faces, which are all identical in size. So, we can calculate the area of one face and then multiply it by 4.
- Area of one side face = length × height = 60 cm × 25 cm = 1500 cm²
- Area of all side faces = 4 × 1500 cm² = 6000 cm²

Total surface area of one box = Area of top and bottom faces + Area of all side faces
Total surface area of one box = 4560 cm² + 6000 cm² = 10560 cm²

Step 2: Calculate the Total Surface Area of 5 Boxes

To find the total surface area of 5 boxes, we need to multiply the surface area of one box by 5.
Total surface area of 5 boxes = 10560 cm² × 5 = 52800 cm²

Therefore, the required area of the cardboard to make 5 such boxes is 52800 cm².