The base of a prism is a trapezium. The length of the parallel sides of the trapezium are 5 cm and 15 cm respectively and the distance between the parallel sides is 12 cm. If the volume of trapezium prism is 1200 cm3. What the total surface area of the trapezoidal prism?
The base of a prism is a trapezium. The length of the parallel sides of the trapezium are 5 cm and 15 cm respectively and the distance between the parallel sides is 12 cm. If the volume of trapezium prism is 1200 cm3. What the total surface area of the trapezoidal prism? Correct Answer 700 cm<sup>2</sup>
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As we know, volume of the trapezium prism = base area(area of trapezium) × height
⇒ 1200 = 1/2 × (5 + 15) × 12 × h
⇒ h = 10 cm
∵ Lateral surface area = perimeter of trapezium × height
Total surface area of the trapezoidal prism
⇒ 2 × base area(area of trapezium) + lateral surface area
⇒ 2 × 1/2 × (5 + 15) × 12 + perimeter of trapezium × height
⇒ 240 + (15 + 13 + 5 + 13) × 10
⇒ 240 + 460 = 700 cm2
∴ Total surface area of the trapezoidal prism = 700 cm2
