Question

question 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? answer attempt 1 out of 2 a = cm²

Explanation:

Step1: Identify the three pairs of faces

The rectangular - prism has three pairs of faces with different dimensions: (12×7), (12×8), and (7×8).

Step2: Calculate the area of each pair of faces

For the 12×7 faces: $2\times(12\times7)=2\times84 = 168$ $cm^{2}$.
For the 12×8 faces: $2\times(12\times8)=2\times96 = 192$ $cm^{2}$.
For the 7×8 faces: $2\times(7\times8)=2\times56 = 112$ $cm^{2}$.

Step3: Sum up the areas of all pairs of faces

$168 + 192+112=472$ $cm^{2}$.

Answer:

472