Question

determine the volume of the three - dimensional figure.
the volume is
(simplify your answer.)

Explanation:

Step1: Calculate the volume of the large rectangular prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the large prism with \(l = 14\) in, \(w = 14\) in, and \(h = 8\) in, we have \(V_{large}=14\times14\times8\).

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Step2: Calculate the volume of the small rectangular prism (the hole)

The small prism has \(l = 6\) in, \(w = 6\) in, and \(h = 8\) in. Using the volume formula \(V = l\times w\times h\), we get \(V_{small}=6\times6\times8\).

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Step3: Calculate the volume of the three - dimensional figure

Subtract the volume of the small prism from the volume of the large prism. \(V = V_{large}-V_{small}\).

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Answer:

\(1280\)