9. Triple Integrals

Triple Integration Over Boxes And General Regions — Quiz

Test your understanding of triple integration over boxes and general regions with 5 practice questions.

Read the lesson first

Practice Questions

Question 1

What is the value of $\iiint_E 1\,dV$ for the box $E=[0,2]\times[0,3]\times[0,4]$?

Question 2

What is the value of $\iiint_{[0,1]^3}(x+y+z)\,dV$?

Question 3

What is the value of $\int_0^1\int_0^2\int_0^{x+y} 1\,dz\,dy\,dx$?

Question 4

What is the value of $\int_0^1\int_x^1\int_0^2 1\,dz\,dy\,dx$?

Question 5

What is the volume of the solid in the first octant bounded by the plane $x+y+z=2$ and the coordinate planes?
Triple Integration Over Boxes And General Regions Quiz — Multivariable Calculus | A-Warded