9. Triple Integrals
Volumes And Mass — Quiz
Test your understanding of volumes and mass with 5 practice questions.
Practice Questions
Question 1
Which triple integral gives the volume of a solid region $E$?
Question 2
Which expression gives the mass of a solid $E$ with density $\rho(x,y,z)$?
Question 3
What is the volume of the rectangular box $0\le x\le 2$, $0\le y\le 3$, $0\le z\le 4$?
Question 4
A solid fills the box $0\le x\le 1$, $0\le y\le 2$, $0\le z\le 3$ and has constant density $5$ kilograms per cubic meter. What is its mass?
Question 5
A solid occupies $0\le x\le 1$, $0\le y\le 2$, $0\le z\le 3$ and has density $\rho(x,y,z)=x$ kilograms per cubic meter. What is the mass?