Volume = 150.9 cubic units
Step-by-step explanation:
(First, we need to find the side opposite to 40 degrees)
Let the side be ‘s’
tan(40) = s/6 (Opposite/Adjacent)
tan(40) x 6 = s
s ≈ 5.03 units
Area of triangle base = 1/2 x Base x Height = 1/2 x 6 x 5.03 = 15.09 square units
Area of prism = Base Area x Height = 15.09 x 10 = 150.9 cubic units