Question

what is the volume of a hexagonal prism whose base has an area of 30.5 square centimeters and height of 6.5

Answer 1

We have that the equation to find the volume of a hexagonal prism is the following:

$V=h\cdot B$

where h is the height of the prism and B is the base area. In this case, we have:

$\begin{gathered} h=6.5\operatorname{cm} \\ B=30.5\operatorname{cm}^2 \end{gathered}$

then, the volume is:

$V=(6.5\operatorname{cm})(30.5\operatorname{cm})=198.25\operatorname{cm}^3$

• therefore, the volume of the hexagonal prism is 198.25 cm^3