Question

shandra 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 inches, that shandra decorates? answer attempt 1 out of 3 $a=square$ in $^{2}$ submit answer

Explanation:

Step1: Identify the dimensions of the rectangular prism

From the net, we can see that the length \(l = 13\) in, the width \(w=9\) in, and the height \(h = 12\) in.

Step2: Use the surface - area formula for a rectangular prism

The formula for the surface area of a rectangular prism is \(A=2(lw + lh+wh)\).
Substitute \(l = 13\), \(w = 9\), and \(h = 12\) into the formula:

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Then \(lw+lh + wh=117 + 156+108=381\).
Multiply by 2: \(A = 2\times381\).

Answer:

\(762\)