The base of a prism is a regular hexagon. If every edge of the prism measures $1$ meter, then the volume of the prism is :

\frac{3 \sqrt{2}}{2} m^{3}

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\frac{3 \sqrt{3}}{2} m^{3}

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\frac{6 \sqrt{2}}{2} m^{3}

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\frac{5 \sqrt{3}}{2} m^{3}

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Solution

The correct option is B $\frac{3 \sqrt{3}}{2} m^{3}$
Given
If every edge of the prism is $1$ meter it means height and base are equal to $1$ meter i.e. $a = h = 1 m$
Formula of volume of prism
$V = \frac{3 \sqrt{3}}{2} \times a^{2} \times h$
$V = \frac{3 \sqrt{3}}{2} \times 1 \times 1$
$V = \frac{3 \sqrt{3}}{2} m^{3}$

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The base of a prism is a regular hexagon. If every edge of the prism measures 1 meter, then the volume of the prism is :

The correct option is B 3√32m3Given If every edge of the prism is 1 meter it means height and base are equal to 1 meter i.e. a=h=1 mFormula of volume of prism V=3√32×a2×hV=3√32×1×1V=3√32m3

The base of a prism is a regular hexagon. If every edge of the prism measures $1$ meter, then the volume of the prism is :