1.16.7.b - Computation of volumes
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Practice Questions
Test your understanding with targeted questions
What is the Trapezoidal Rule used for?
💡 Hint: Think about how the areas are calculated.
How would you define the Prismoidal Rule?
💡 Hint: Focus on the shapes that it includes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the Trapezoidal Rule used to calculate?
💡 Hint: Think about why we need to use averages in calculations.
True or False: The Prismoidal Rule is only applicable to parallel bases.
💡 Hint: Consider the physical characteristics of prismoids.
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Challenge Problems
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Given the length between two cross-sections is 12 m, and areas of cross-sections are 70 m² and 50 m², calculate the volume using the Trapezoidal Rule and state the method clearly.
💡 Hint: Revisit how we averaged the areas and applied the length.
A prismoid has cross-sectional areas of 30 m², 70 m², and 50 m² over a distance of 15 m. Compute the volume using the Prismoidal Rule and explain your reasoning.
💡 Hint: Ensure you apply each section's area properly according to the formula.
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