To find the surface area of the box, we need to calculate the area of each of the six faces and then sum them up.
The net shows the following dimensions for the sides of the box:
- Top and bottom faces: 12 in x 13 in = 156 in² (2 faces)
- Front and back faces: 11 in x 13 in = 143 in² (2 faces)
- Left and right faces: 11 in x 12 in = 132 in² (2 faces)
Now we calculate the total surface area:
Surface area = 2(156) + 2(143) + 2(132) = 312 + 286 + 264 = 862 square inches
Therefore, the surface area of the box that Grayson decorates is 862 square inches.
Grayson is decorating the outside of a box in the shape of a right rectangular prism. The figure below shows a net for the box.
13 in
12 in
12 in
11 in
12 in
12 in
11 in
What is the surface area of the box, in square inches, that Grayson decorates?
1 answer
1 answer