Question

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the figure below shows a hollow box in the shape of a rectangular prism. note that the box has a lid. (a) use the calculator to find the volume and surface area of the box. make sure to include the correct units. volume: surface area:

Explanation:

Step1: Calculate the volume

The formula for the volume \(V\) of a rectangular prism is \(V = l\times w\times h\), where \(l = 15\) ft, \(w=13\) ft, \(h = 2\) ft.

$$V=15\times13\times2=390$$

Step2: Calculate the surface area

The formula for the surface area \(S\) of a rectangular prism is \(S=2(lw + lh+wh)\)

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Answer:

Volume: \(390\) cubic feet (\(ft^{3}\))
Surface area: \(502\) square feet (\(ft^{2}\))