Question 1026223
Hi there,
With the given information, I would 
use Sine Rule to obtain Angle CBA 
and then angle ACB.
a/SinA = b/SinB
6/Sin44 = 8/SinB
SinB = (8 x sin44)/6
SinB = 0.9262
Angle CBA = 67.9 degrees
Angle ACB = 180 -(44 + 67.9)
Angle ACB = 68.1 degrees.
Now using the area formula:
= 1/2(ab SinC)
= 1/2 x 8 x 6 x Sin 68.1
= 22.27 m^2  (Area)
Multiply by depth to obtain volume of soil.
= 22.27 x 0.1 = 2.227 m^3 (3 decimal places)
Hope this helps :-)