Answer: 380 cubic cm
Explanation:
The front and back faces are trapezoids. Focus on one of the trapezoids.
I'll focus on the front face. It has parallel sides of b1 = 15 and b2 = 5. The height is h = 2.
The area of this trapezoid is
A = h*(b1+b2)/2
A = 2*(15+5)/2
A = 2*20/2
A = 40/2
A = 20
So any vertical cross sectional area is 20 square cm.
Multiply this by the depth of the prism, which is 19, to get the volume of the prism
Volume = (area of cross section)*(depth)
Volume = (20)*(19)
Volume = 380 cubic cm
