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anthony is decorating the outside of a box in the shape of a right rect…

Question

anthony 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 feet, that anthony decorates? answer

Explanation:

Step1: Identify the three pairs of faces

A right - rectangular prism has 6 faces in 3 pairs. The dimensions of the pairs are: (9×6), (9×7), and (6×7).

Step2: Calculate the area of each pair

The area of the pair with dimensions 9×6 is $2\times(9\times6)=108$ square feet.
The area of the pair with dimensions 9×7 is $2\times(9\times7) = 126$ square feet.
The area of the pair with dimensions 6×7 is $2\times(6\times7)=84$ square feet.

Step3: Sum up the areas of all pairs

$108 + 126+84=318$ square feet.

Answer:

318