Question 255681
The surface are has the formula:
{{{SA = bL + bh + 2*L*sqrt(b^2+h^2)}}}
by substitution, we get
{{{38 = 3L + 3*2 + 2*L*sqrt(3^2+2^2)}}}
or
{{{38 = 3L + 6 + 2Lsqrt(13)}}}
{{{32 = L*(3 + 2sqrt(13))}}}
{{{L = 32/(3 + 2sqrt(13))}}}
--
V = LxWxH
V = 3 x 2 x 32/(3+2sqrt(13))
V = 192/(3+2sqrt(13))
V ~ 18.803 m^3