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help finding volume

Help Finding Volume class=

Sagot :

Volume = 150.9 cubic units

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