The top and bottom flaps in the box are each 4 centimeters by 2 centimeters.The right and left flaps are each 2 centimeters by 2 centimeters. There are flaps at the other end that are identical.Find the total area of carboard used to make the box.
To find the total area of cardboard used to make the box, we need to calculate the area of each of the six sides of the box.
Let's start with the top and bottom flaps. Each flap has dimensions of 4 cm by 2 cm. Since there are two of them, the total area of the top and bottom flaps is:
2 flaps * (4 cm * 2 cm) = 8 cm²
Next, let's calculate the area of the right and left flaps. Each flap has dimensions of 2 cm by 2 cm. Since there are two of them, the total area of the right and left flaps is:
2 flaps * (2 cm * 2 cm) = 8 cm²
For the remaining side, which is also identical to the right and left flaps, the area is also 8 cm².
So, the total area of cardboard used to make the box is:
8 cm² (top flap) + 8 cm² (bottom flap) + 8 cm² (right flap) + 8 cm² (left flap) + 8 cm² (remaining side) = 40 cm².
Therefore, the total area of cardboard used to make the box is 40 square centimeters.
To find the total area of cardboard used to make the box, we need to calculate the area of each individual flap and then add them all together.
Let's start with the top and bottom flaps:
Each top and bottom flap has dimensions of 4 centimeters by 2 centimeters, so the area of each flap is:
4 cm * 2 cm = 8 square centimeters
Since there are two top and bottom flaps, we multiply the area of one flap by 2:
8 square cm * 2 = 16 square centimeters
Next, let's calculate the area of the right and left flaps:
Each right and left flap has dimensions of 2 centimeters by 2 centimeters, so the area of each flap is:
2 cm * 2 cm = 4 square centimeters
Since there are two right and left flaps, we multiply the area of one flap by 2:
4 square cm * 2 = 8 square centimeters
Now, we have the total area of the four flaps at one end of the box: 16 square centimeters (top and bottom flaps) + 8 square centimeters (right and left flaps) = 24 square centimeters.
Since there are flaps at the other end of the box that are identical, we add the area of the flaps at one end to the area of the flaps at the other end:
24 square centimeters + 24 square centimeters = 48 square centimeters
Therefore, the total area of cardboard used to make the box is 48 square centimeters.