There is a closed box whose dimensions are 20cm high by 40cm wide by 50cm long. What is the total surface area, in square centimeters, of the closed box?
To find the total surface area of the box, we need to calculate the sum of the areas of all six sides
To find the total surface area of the box, we need to calculate the sum of the areas of all six sides.
The box has a rectangular shape, so it has three pairs of sides that have the same area.
Let’s calculate the areas of each side:
1. Front and back sides: These sides have the dimensions of 20cm (height) by 50cm (length). The area of each side is calculated by multiplying the height by the length: 20cm * 50cm = 1000 square cm.
2. Top and bottom sides: These sides have the dimensions of 40cm (width) by 50cm (length). The area of each side is calculated by multiplying the width by the length: 40cm * 50cm = 2000 square cm.
3. Left and right sides: These sides have the dimensions of 20cm (height) by 40cm (width). The area of each side is calculated by multiplying the height by the width: 20cm * 40cm = 800 square cm.
Now, let’s add up the areas of all six sides to find the total surface area:
Front and back sides: 1000 square cm + 1000 square cm = 2000 square cm
Top and bottom sides: 2000 square cm + 2000 square cm = 4000 square cm
Left and right sides: 800 square cm + 800 square cm = 1600 square cm
Finally, to find the total surface area, we add up all three pairs of sides: 2000 square cm + 4000 square cm + 1600 square cm = 7600 square cm.
Therefore, the total surface area of the closed box is 7600 square centimeters.
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