How do you find the edges of a prism if your given volume?

Question

All nine edges of a right prism with triangular bases are congruent. Find the lengths of these edges if the volume is 54(sqr of 3)cm^3.

Answer 1

let the edge be e

area of triangle = ½ b.h = ½ e . e sqrt (3/4)

and volume = ½ e . e sqrt (3/4). e sqrt (3/4) = 3/8 e^3

if 3/8 e^3 = 54
e^3 = 144

e 2 x cube root (18) ??????

can that be right ?