Answer:
30x² cubic units
Step-by-step explanation:
The volume of an Oblique prism = Base Area × Height
This oblique prism has trapezoidal bases.
Area of a Trapezoid = 1/2 × h × ( b1+b2)
where h = height
b1 and b2 = bases of the Trapezoid.
From the question,
h = 20
b1 = x
b2 = 2x
Area of the Trapezoid =
1/2 × x ×( x + 2x)
1/2 × x × (3x)
3x²/2 square units.
Remember, the volume of an Oblique prism = Base Area × Height
Height of the prism = The distance between the 2 trapezoid bases = 20 units.
Base Area = 3x²/2 square units × 20 units
= 30x² cubic units
