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
1,080 cm
1,080 cm
1,880 cm2
To find the surface area of the box that needs to be decorated, we need to find the surface area of the front, top, and sides of the box.
The surface area of the front is the length multiplied by the height, which is 27 cm x 20 cm = 540 cm^2.
The surface area of the top is the width multiplied by the length, which is 20 cm x 27 cm = 540 cm^2.
The surface area of each side is the width multiplied by the height, which is 20 cm x 20 cm = 400 cm^2. Since there are two sides, we multiply this by 2 to get a total of 800 cm^2.
Adding up the surface areas, we have 540 cm^2 + 540 cm^2 + 800 cm^2 = 1880 cm^2.
So, the surface area of the box that needs to be decorated is 1,880 cm^2.