Triple integrals Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/triple-integrals/quiz/

1. 1

   Triple integral of xyz over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3

   Answer: ____________________

2. 2

   Triple integral of 2z over 0 ≤ x ≤ 1, 0 ≤ y ≤ 3, 0 ≤ z ≤ 2

   Answer: ____________________

3. 3

   Triple integral of 6 over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3

   Answer: ____________________

4. 4

   Triple integral of 2xz over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 2

   Answer: ____________________

5. 5

   Triple integral of x + y + z over 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 2

   Answer: ____________________

6. 6

   Triple integral of xyz over 1 ≤ x ≤ 2, 0 ≤ y ≤ 2, 0 ≤ z ≤ 1

   Answer: ____________________

7. 7

   Triple integral of y² z over 0 ≤ x ≤ 2, 0 ≤ y ≤ 3, 0 ≤ z ≤ 1

   Answer: ____________________

8. 8

   Find the volume of the solid under the plane x + y + 2z = 4 in the first octant.

   Answer: ____________________

9. 9

   Find the volume of the solid under the plane x + y + z = 3 in the first octant.

   Answer: ____________________

10. 10

    Find the volume of the solid under the plane 3x + 2y + z = 6 in the first octant.

    Answer: ____________________