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
1,880 cm2
1,880 cm squared
2,960 cm2
2,960 cm squared
1,080 cm
1,080 cm
67 cm2
67 cm squared
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 area of the front is the length multiplied by the height: 27 cm * 20 cm = 540 cm^2.
The area of the top is the length multiplied by the width: 27 cm * 20 cm = 540 cm^2.
The area of each side is the width multiplied by the height: 20 cm * 20 cm = 400 cm^2. Since there are two sides, the total area for the sides is 400 cm^2 * 2 = 800 cm^2.
Adding up the areas, we have 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.