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Question
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
67 cm2
67 cm squared
2,960 cm2
To calculate the surface area of the box that needs to be decorated, we need to find the areas of the front, the top, and the sides.
The area of the front can be calculated by multiplying the length and the width:
Area of the front = 27 cm * 20 cm = 540 cm²
The area of the top can be calculated by multiplying the length and the width:
Area of the top = 27 cm * 20 cm = 540 cm²
The area of each side can be calculated by multiplying the height and the width:
Area of each side = 20 cm * 20 cm = 400 cm²
Since there are two sides, the total area of the sides is 2 * 400 cm² = 800 cm²
Now, we can add up all the areas to find the total surface area that needs to be decorated:
Total surface area = Area of the front + Area of the top + Total area of the sides
Total surface area = 540 cm² + 540 cm² + 800 cm²
Total surface area = 1880 cm²
So the surface area of the box that needs to be decorated is 1880 cm².
Therefore, the correct response is 1,880 cm2 or 1,880 cm squared.