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
67 cm2
67 cm squared
2,960 cm2
2,960 cm squared
1,080 cm
1,080 cm
1,880 cm2
1,880 cm squared
Skip to navigation
To find the surface area of the box that needs to be decorated, we need to calculate the area of the front, the top, and the sides of the box.
The front of the box has a length of 27 cm and a width of 20 cm, therefore its area is 27 cm * 20 cm = 540 cm^2.
The top of the box has a length of 27 cm and a width of 20 cm, therefore its area is also 540 cm^2.
The two sides of the box have a height of 20 cm and a width of 20 cm, therefore each side's area is 20 cm * 20 cm = 400 cm^2. Since there are two sides, the total area is 2 * 400 cm^2 = 800 cm^2.
Now, we add up the areas of the front, top, and sides:
Front area: 540 cm^2
Top area: 540 cm^2
Two side areas: 800 cm^2
The total area of the box that needs to be decorated is 540 cm^2 + 540 cm^2 + 800 cm^2 = 1,880 cm^2.
Therefore, the correct answer is 1,880 cm^2 or 1,880 cm squared.