A chocolate box has dimension 50cm×35×10cm. If60 boxes of chocolate are to be covered by wrapper,how many square meters of wrapping material will be required?
Yakubpur
31.2m square
To find the amount of wrapping material required, we need to calculate the total surface area of all the boxes.
The surface area of a rectangular box can be calculated by finding the area of each face and then summing them up.
In this case, the chocolate box has dimensions of 50 cm × 35 cm × 10 cm.
The total surface area can be calculated as follows:
1. Calculate the area of the top and bottom faces:
- Top face: 50 cm × 35 cm = 1750 cm²
- Bottom face: 50 cm × 35 cm = 1750 cm²
2. Calculate the area of the front and back faces:
- Front face: 50 cm × 10 cm = 500 cm²
- Back face: 50 cm × 10 cm = 500 cm²
3. Calculate the area of the left and right faces:
- Left face: 35 cm × 10 cm = 350 cm²
- Right face: 35 cm × 10 cm = 350 cm²
4. Add up all the areas:
- Total surface area of one box: (1750 cm² + 1750 cm²) + (500 cm² + 500 cm²) + (350 cm² + 350 cm²) = 5750 cm²
Since you have 60 boxes, you need to multiply the surface area of one box by 60 to get the total surface area of all the boxes:
Total surface area = 5750 cm² × 60 = 345,000 cm²
To convert cm² to square meters, divide by 10,000 (1 m² = 10,000 cm²):
Total surface area in square meters = 345,000 cm² ÷ 10,000 = 34.5 m²
Therefore, you will need 34.5 square meters of wrapping material to cover 60 boxes of chocolate.
top and bottom 2*.5*.35
two sides 2*.5*.1
two ends 2*.35*.1
add them, then multiply by 60