Answer:
V = (119.27 in²)(6 in) = 235.26 in³
Explanation:
First find the area of the half circle (face only) and the area of the (face only) rectangular prism base.
The radius of this circle is 5 in, so half the area of this this circle is:
A1 = (1/2)π(5 in)², or approx. 39.27 in²
The face area of the rectangular prism is (8 in)(10 in) = 80 in²
So the total, combined face area of this solid is 119.27 in².
Now multiply this result by the depth of the solid, which is 6 in. The result is the volume of the solid: V = (119.27 in²)(6 in) = 235.26 in³