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
67 cm2
67 cm squared
1,880 cm2
1,880 cm squared
1,080 cm
The surface area of the box that needs to be decorated is the sum of the areas of the front, top, and two sides.
The front surface area is the length multiplied by the width, so it is 27 cm * 20 cm = 540 cm^2.
The top surface area is the length multiplied by the height, so it is 27 cm * 20 cm = 540 cm^2.
The area of each side is the width multiplied by the height, so each side has an area of 20 cm * 20 cm = 400 cm^2. Since there are two sides, the total area of both sides is 400 cm^2 * 2 = 800 cm^2.
Adding up the areas of the front, top, and two sides gives a total decorated surface area of 540 cm^2 + 540 cm^2 + 800 cm^2 = 1880 cm^2.
Therefore, the correct answer is: 1,880 cm^2.