Answer:
891 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of cross- section and h is the height (
The cross- section is a trapezium with area (A) calculated as
A = [tex]\frac{1}{2}[/tex] h ( a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 9, a = AB = 14 and b = CD = 8 , thus
A = [tex]\frac{1}{2}[/tex] × 9 × (14 + 8) = 4.5 × 22 = 99 cm² , thus
V = 99 × 9 = 891 cm³
