Question

what is the volume of the following rectangular prism? image of rectangular prism with base area $3\frac{3}{8}$ units² and height 2 units volume = \boxed{} units³

Explanation:

Step1: Convert the mixed number to an improper fraction

$3\frac{3}{8}=\frac{3\times8 + 3}{8}=\frac{24+3}{8}=\frac{27}{8}$

Step2: Use the volume formula for a rectangular prism \(V = B\times h\) (where \(B\) is the base area and \(h\) is the height)

Here, \(B=\frac{27}{8}\) and \(h = 2\). So \(V=\frac{27}{8}\times2\)

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Answer:

\(6\frac{3}{4}\)