Since the bottom and the back of the box do not need to be decorated, we only need to consider the remaining sides. The box has 6 sides in total (front, back, top, bottom, left, right). Since the bottom and back do not need to be decorated, that leaves us with 4 sides that need to be decorated (front, top, left, right).
To find the surface area of these 4 sides, we need to calculate the area of each individual side and then add them together.
From the image given, it appears that the top and bottom sides have the same dimensions, while the left and right sides have the same dimensions as well. Let's call the length of the top/bottom side x and the width of the left/right side y.
The front side has a height of y and a width of x, so its area is xy.
The top side has a length of x and a width of y, so its area is xy.
The left side has a length of y and a height of x, so its area is yx.
The right side has a length of y and a height of x, so its area is yx.
Adding up the areas of the 4 sides gives us:
xy + xy + yx + yx = 2xy + 2yx = 4xy
Since we do not have the dimensions x or y given in the image or the question, we cannot calculate the surface area of the box that needs to be decorated. Therefore, none of the given responses (2,960 cm2, 1,080 cm, 67 cm2, 1,880 cm2) can be correct.
Surface Area of Right Rectangular Prisms Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. 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 1,080 cm 1,080 cm 67 cm2 67 cm squared 1,880 cm2
1 answer