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
1,080 cm
1,080 cm
2,960 cm2
2,960 cm squared
67 cm2
To determine the surface area of the box that needs to be decorated, we need to calculate the area of each face that will be visible.
The front face of the box has a length of 27 cm and a width of 20 cm, so its area is 27 cm * 20 cm = 540 cm².
The top face of the box has a length of 27 cm and a height of 20 cm, so its area is 27 cm * 20 cm = 540 cm².
The side face of the box has a width of 20 cm and a height of 20 cm, so its area is 20 cm * 20 cm = 400 cm².
The total surface area of the box that needs to be decorated is the sum of these three areas: 540 cm² + 540 cm² + 400 cm² = 1,480 cm².
So, the correct answer is 1,480 cm².