Answer:
V = 48000 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of end face × length
The end face is a trapezium with area (A) calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 20 , b₁ = 10 and b₂ = 30 , then
A = [tex]\frac{1}{2}[/tex] × 20 × (10 + 30) = 10 × 40 = 400 cm²
Thus
V = 400 × 120 = 48000 cm³
