A box measures 60cm*52cm*40cm.find the area of the cardboards required to make 280 such boxes.
To find the area of the cardboards required to make 280 boxes, we first need to calculate the total surface area of a single box. The surface area of a rectangular box can be found by summing the areas of each face.
The given dimensions of the box are 60cm (length), 52cm (width), and 40cm (height).
The surface area of the box is calculated as follows:
1. The area of the top and bottom faces (length * width):
= 60cm * 52cm = 3120 square cm
2. The area of the side faces (length * height and width * height):
= 2 * (60cm * 40cm + 52cm * 40cm) = 2 * 9600 square cm = 19200 square cm
3. The area of the front and back faces (width * height):
= 2 * (52cm * 40cm) = 2 * 2080 square cm = 4160 square cm
To find the total surface area of a single box, we sum these areas:
Total surface area = 3120 square cm + 19200 square cm + 4160 square cm
= 26480 square cm
To find the total area of the cardboard required to make 280 boxes, we multiply the surface area of a single box by the number of boxes:
Total area of cardboard = Total surface area * Number of boxes
= 26480 square cm * 280
= 7398400 square cm
Therefore, the area of the cardboards required to make 280 such boxes is 7398400 square cm.
To find the area of the cardboards required to make 280 boxes, we need to calculate the total surface area of one box and then multiply it by 280.
The total surface area of a box can be calculated by adding up the areas of all six sides (top, bottom, front, back, left, and right).
Given the dimensions of the box are:
Length (L) = 60 cm
Width (W) = 52 cm
Height (H) = 40 cm
The formula to calculate the surface area of a box is:
Surface Area = 2(LW + LH + WH)
Calculating the surface area of one box:
Surface Area = 2(60 cm * 52 cm + 60 cm * 40 cm + 52 cm * 40 cm)
Surface Area = 2(3120 cm^2 + 2400 cm^2 + 2080 cm^2)
Surface Area = 2(7600 cm^2)
Surface Area = 15200 cm^2
Now, to find the area of the cardboards required to make 280 boxes:
Total Area = Surface Area * Number of Boxes
Total Area = 15200 cm^2 * 280 boxes
Total Area = 4,256,000 cm^2
Therefore, the area of the cardboards required to make 280 boxes is 4,256,000 cm^2.