what is the surface area of cardboard box? l= 4cm w= 5cm h=10cm
the surface consists of three pairs of rectangular faces.
You have the length and width of each face, so find the three areas, add 'em up, and double that (since there are two of each size)
2[(4 * 5) + (4 * 10) + (5 * 10)] = ?
To find the surface area of a cardboard box, you need to calculate the areas of all six sides and sum them up.
The box has six sides: two square ends and four rectangular sides. Let's calculate the area of each side:
1. The area of the first square end: Since the length of one side is 4 cm, you can calculate it by squaring the length: A = 4 cm * 4 cm = 16 cm².
2. The area of the second square end: It's the same as the first one, as both ends have the same dimensions. So the area is also 16 cm².
3. The area of the first rectangular side: Multiply the length by the height: A = 4 cm * 10 cm = 40 cm².
4. The area of the second rectangular side: Same calculation as the first rectangular side, so it's also 40 cm².
5. The area of the third rectangular side: Multiply the width by the height: A = 5 cm * 10 cm = 50 cm².
6. The area of the fourth rectangular side: Similar to the third side, it's also 50 cm².
Now, let's sum up the areas of all six sides:
Total surface area = (Area of first square end) + (Area of second square end) + (Area of first rectangular side) + (Area of second rectangular side) + (Area of third rectangular side) + (Area of fourth rectangular side)
Total surface area = 16 cm² + 16 cm² + 40 cm² + 40 cm² + 50 cm² + 50 cm²
Total surface area = 212 cm²
Therefore, the surface area of the cardboard box is 212 cm².