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
1,880 cm2
1,880 cm squared
1,080 cm
1,080 cm
67 cm2
To find the surface area of the box that needs to be decorated, we need to calculate the area of the front and the two sides.
The area of the front is equal to the length times the height, which is 27 cm times 20 cm, equaling 540 cm2.
The area of one side is equal to the width times the height, which is 20 cm times 20 cm, equaling 400 cm2. Since there are two sides that need to be decorated, the total area for the sides is 400 cm2 times 2, equaling 800 cm2.
Therefore, the total surface area of the box that needs to be decorated is 540 cm2 plus 800 cm2, which equals 1,340 cm2.
The correct answer is therefore 1,340 cm2.