Use the image to answer the question.
An illustration shows a 3 D box with length of 27 centimeters labeled as front, a width of 20 centimeters, and height of 20 centimeters.
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?
(1 point)
Responses
2,960 cm2
2,960 cm squared
1,080 cm
1,080 cm
1,880 cm2
1,880 cm squared
67 cm2
To find the surface area of the box that needs to be decorated, we need to find the areas of the front, top, and sides of the box.
The front of the box has a length of 27 centimeters and a height of 20 centimeters, so its area is 27 cm * 20 cm = 540 cm^2.
The top of the box has a length of 27 centimeters and a width of 20 centimeters, so its area is 27 cm * 20 cm = 540 cm^2.
The sides of the box have a width of 20 centimeters and a height of 20 centimeters, so their combined area is 2 * (20 cm * 20 cm) = 800 cm^2.
Adding up the areas of the front, top, and sides, we get 540 cm^2 + 540 cm^2 + 800 cm^2 = 1,880 cm^2.
Therefore, the surface area of the box that needs to be decorated is 1,880 cm^2.