Question

The volume of a hexagonal prism is 12square root 3 in3. What is the height of the prism if the base area is 3square root 3 in3? 4square root 3 in 36 in 36square root 3 in 4 in

Answer 1

on the base area I gather your meant square units, that is \(\bf 3\sqrt{3}\ in^2\)

Answer 2

anyhow, volume = length x height x width

or for this prism will be base area x height
\(\bf volume = 12\sqrt{3}\qquad \qquad \textrm{base area} = 3\sqrt{3}\ in^2\\
volume = \textit{base area} \times height\\
12\sqrt{3} = 3\sqrt{3} \times height\)

solve for "height"