20 cm 20 cm 27 cm- Front A box needs to be decorated to use as a prop in a play The bottom and the back of the box do not need to be decorated What is the surface area of the box that needs to be decorated ?
To find the surface area of the box that needs to be decorated, we need to subtract the area of the bottom and the area of the back from the total surface area of the box.
The total surface area of a rectangular box can be calculated by adding the areas of all its six sides. In this case, we have:
- Front: 20 cm x 20 cm = 400 cm²
- Back: not decorated, so 0 cm²
- Bottom: not decorated, so 0 cm²
- Top: 20 cm x 20 cm = 400 cm²
- Left side: 27 cm x 20 cm = 540 cm²
- Right side: 27 cm x 20 cm = 540 cm²
Thus, the total surface area of the box is 400 cm² + 0 cm² + 0 cm² + 400 cm² + 540 cm² + 540 cm² = 1880 cm².
Considering that the bottom and the back of the box do not need to be decorated, we need to subtract their areas from the total surface area:
1880 cm² - 0 cm² - 0 cm² = 1880 cm².
Therefore, the surface area of the box that needs to be decorated is 1880 cm².