To find the surface area of the box that Ian decorates, we need to find the area of each face and then add them together.
First, we need to identify the dimensions of the box. Looking at the net, we can see that the length of the box (labelled as x) is 7 cm, the width (labelled as y) is 8 cm, and the height (labelled as z) is 7 cm.
The surface area of a right rectangular prism can be found using the formula:
Surface Area = 2lw + 2lh + 2wh
Plugging in the dimensions of the box:
Surface Area = 2(7*8) + 2(7*7) + 2(8*7)
Surface Area = 2(56) + 2(49) + 2(56)
Surface Area = 112 + 98 + 112
Surface Area = 322 cm^2
Therefore, the surface area of the box that Ian decorates is 322 square centimeters.
Ian is decorating the outside of a box in the shape of a right rectangular prism. The figure below shows a net for the box. What is the surface area of the box in square centimeters that Ian decorates? 7 cm 8 cm 7 cm 12 cm 7cm 7 cm
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