Question

6 cm
3 cm
2\frac{3}{4} cm
6\cdot3 + 2\frac{3}{4} = 20\frac{3}{4} cm^{3}
6\cdot3\cdot2\frac{3}{4} = 49\frac{1}{2} cm^{3}
6 + 3 + 2\frac{3}{4} = 11\frac{3}{4} cm^{3}
3\cdot2\frac{3}{4} = 8\frac{1}{4} cm^{3}

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by \( V=l\times w\times h\), where \( l\) is the length, \( w\) is the width, and \( h\) is the height.

Step2: Identify the values of length, width and height

Here, \( l = 6\space cm\), \( w=3\space cm\), and \( h = 2\frac{3}{4}\space cm\).

Step3: Calculate the volume

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Answer:

\(6\cdot3\cdot2\frac{3}{4}=49\frac{1}{2}\space cm^{3}\) (the second option)