Question

the surface area of the solid shown is square inches and its vcubic inches.

Explanation:

Step1: Calculate the surface area of the rectangular prism

The formula for the surface area \(S\) of a rectangular prism is \(S = 2(lw+lh + wh)\), where \(l = 12\) in, \(w = 8\) in, \(h=6\) in.

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Step2: Calculate the volume of the rectangular prism

The formula for the volume \(V\) of a rectangular prism is \(V=l\times w\times h\).

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Answer:

The surface area is \(432\) square inches and the volume is \(576\) cubic inches.