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 that needs to be decorated, we first need to identify the sides of the box that need decoration.
Since the bottom and back of the box do not need decoration, we only need to consider the four sides and the top of the box.
Assuming the top and sides of the box are all the same size, let's label the dimensions of the box:
- Length of the box (l)
- Width of the box (w)
- Height of the box (h)
The surface area of one side of the box is given by:
Side Area = height * width
The surface area of all four sides that need decoration is:
Total Side Area = 4 * Side Area
The surface area of the top of the box is:
Top Area = length * width
Therefore, the total surface area that needs to be decorated is:
Total Surface Area = Total Side Area + Top Area
Total Surface Area = 4 * (height * width) + (length * width)