Question

The base of a right prism is a hexagon with one side $6cm$ long. If the volume of the prism is $450cc$, how far (in cm) apart are the bases?

• A. $5.74$
• B. $3,56$
• C. $4.11$
• D. $4.81$

Answer 1

The correct option is D $4.81$

Given : Side of regular hexagon $\left(a\right)=6cm$, Volume of prism $\left(V\right)=450cc$

Area of regular pentagon $=\frac{3\sqrt{3}}{2}{a}^2$

$=\frac{3\sqrt{3}}{2}\times 36$

$=93.53$

Volume of prism $=Basearea\times height$

$⟹$ Height$\left(h\right)=Volume/Base$

$=\frac{450}{93.53}=4.81129cm$

Hence, height of prism is $4.81$.