Practice Area and volumes - 1.16.7 | 1. Contouring | Surveying and Geomatics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the primary purpose of measuring areas in engineering projects?

💡 Hint: Think about land usage.

Question 2

Easy

What is one reason the trapezoidal rule is useful for area calculation?

💡 Hint: Consider measuring segments.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

Which rule estimates the area using trapezoids?

  • Simpson's Rule
  • Trapezoidal Rule
  • Prismoidal Rule

💡 Hint: Remember what shape is involved in the calculation.

Question 2

True or False: The Prismoidal Rule can be used for uniform cross-sections.

  • True
  • False

💡 Hint: Think about the function of the prismoidal rule.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a piece of land with vertices at (1, 1), (4, 1), (4, 5), and (1, 5). Calculate the area using the coordinate method.

💡 Hint: Follow the coordinate area formula.

Question 2

Calculate the volume of a landfill that is 100m long, with end areas of 25m² and 45m² using the prismoidal rule.

💡 Hint: Apply the Prismoidal Rule effectively.

Challenge and get performance evaluation