A right prism has a trapezoidal base with parallel sides 5 cm and 9 cm, and height 6 cm. The height of the prism is 18 cm. What is the volume?
Show answer & explanation
Correct answer: D
Explanation
Parallel sides = 5 cm, 9 cm; Height of the trapezium = 6 cm; Height of the prism = 18 cm.
According to the formula:
Area of the trapezium = (1/2) × (Sum of parallel sides) × Height
Volume of the prism = Base area × Height
Base area = (1/2) × (5 + 9) × 6 = 42
Volume = 42 × 18 = 756 cm³