1.16.7. Area and volumes

Try these first

1. 1.

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

   Hint

   Think about land usage.

2. 2.

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

   Hint

   Consider measuring segments.

3. 3.

   Which rule estimates the area using trapezoids?

   • Simpson's Rule
   • Trapezoidal Rule
   • Prismoidal Rule

   Hint

   Remember what shape is involved in the calculation.

4. 4.

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

   • True
   • False

   Hint

   Think about the function of the prismoidal rule.

5. 5.

   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.

6. 6.

   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.