Triple integrals Quiz
10 questions · easy to harder · Calculus 3 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 0 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Triple integral of xyz over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3Type the answer.
2 Question 2
Triple integral of 2z over 0 ≤ x ≤ 1, 0 ≤ y ≤ 3, 0 ≤ z ≤ 2Type the answer.
3 Question 3
Triple integral of 6 over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3Type the answer.
4 Question 4
Triple integral of 2xz over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 2Type the answer.
5 Question 5
Triple integral of x + y + z over 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 2Type the answer.
6 Question 6
Triple integral of xyz over 1 ≤ x ≤ 2, 0 ≤ y ≤ 2, 0 ≤ z ≤ 1Type the answer.
7 Question 7
Triple integral of y2 z over 0 ≤ x ≤ 2, 0 ≤ y ≤ 3, 0 ≤ z ≤ 1Type the answer.
8 Question 8
Find the volume of the solid under the plane x + y + 2z = 4 in the first octant.Type the answer.
9 Question 9
Find the volume of the solid under the plane x + y + z = 3 in the first octant.Type the answer.
10 Question 10
Find the volume of the solid under the plane 3x + 2y + z = 6 in the first octant.Type the answer.