Question

Please find a(side) and h(height) here using volume.
It is a equilateral triangle prism.

Answer 1

$volume \: of \:polygonal \: prism \\ = \frac{1}{3} \times (base \: area) \times (height) \\ = \frac{1}{3} \times \bold{b } \times h \\ so \\ volume \: of \: equilateral \\ triangular \: prism \\ = \frac{1}{3} \times ( \frac{ \sqrt{3} }{4} {a}^{2} ) \times h$

$= \frac{ \sqrt{3} }{12} {a}^{2} h$