Answer:23200cm^3
Explanation:
we are going to watch this figure as 2 different prisms. 1st-parallelepiped
and 2nd-trapezoidal prism;
The volume of the parallelepiped is equal to a*b*c which is the product of its sides(width, height, and length) and in this case, it is equal to V1=a*b*c=10*12*80(because the trapezoidal prisms side is parallelogram and facing sides of parallelogram are equal so c=80cm)=9600cm^3;
V2=Area of base*h
area of base is equal to area of transpazoid which is
A=((a+b)/2)*h=(12+22)/2*10=34/2*10=17*10=170cm^2
and as i said earlier h=80 because its a parallelogram so,
V2=170+80=13600cm^3
V=V1+V2=9600+13600=23200cm^3