

Triple Integrals and Volume Calculations
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using a triple integral in this problem?
To find the centroid of a shape
To determine the perimeter of a region
To calculate the volume of a solid
To find the surface area of a solid
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equations define the boundaries of the solid in the problem?
x = 0, x = 1, y = 0, y = 1, z = 0, z = x / y
x = 0, x = 1, y = 0, y = 1, z = 0, z = x + y
x = 0, x = 1, y = 0, y = 1, z = 0, z = x - y
x = 0, x = 1, y = 0, y = 1, z = 0, z = x * y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the blue surface represent in the graphical representation?
z = x / y
z = x - y
z = x * y
z = x + y
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the order of integration used in this example?
dx dz dy
dy dz dx
dz dy dx
dx dy dz
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the limits of integration for z?
0 to y
0 to xy
0 to 1
0 to x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-y trace in this problem?
A rectangle
A square
A triangle
A circle
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new integrand function after integrating with respect to z?
x + y
x - y
x / y
x * y
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