Surface Area of Right Rectangular Prisms Quick Check
5 of 55 of 5 Items
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
2,960 cm2
2,960 cm squared
67 cm2
67 cm squared
1,080 cm
1,080 cm
To find the surface area of the box that needs to be decorated, we need to find the area of the front, top, and sides of the box.
The area of the front is the length multiplied by the width, which is 27 cm x 20 cm = 540 cm^2.
The area of the top is the length multiplied by the height, which is 27 cm x 20 cm = 540 cm^2.
The area of the sides can be found by adding the lengths of the four sides and multiplying by the height. So, (27 cm + 20 cm) x 20 cm = 940 cm^2.
Finally, the surface area of the box that needs to be decorated is the sum of these three areas: 540 cm^2 + 540 cm^2 + 940 cm^2 = 2020 cm^2.
Therefore, the correct answer is 1,880 cm^2.