Integration and Volume Calculations
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the shape of the cross-sections perpendicular to the base of the object?
Triangles
Squares
Circles
Rectangles
Tags
CCSS.HSG.GMD.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to calculate the volume of a pyramid?
Length × Width × Height
1/2 × Base Area × Height
1/3 × Base Area × Height
Base Area × Height
Tags
CCSS.7.G.B.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the base area of the pyramid in the problem?
25 square units
36 square units
40 square units
30 square units
Tags
CCSS.1.G.A.1
CCSS.2.G.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the height of the rectangular prism in the problem?
5 units
4 units
6 units
9 units
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of setting up integrals in the integration method?
To determine the perimeter
To calculate the volume
To find the height
To find the surface area
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the line segment used to find the area function for the pyramid?
Y = 2/3 X
Y = 5/3 X
Y = 1/2 X
Y = 3/5 X
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area function A(X) for the pyramid's cross-sections?
(3/5 X)^2
(6/5 X)^2
(2/3 X)^2
(5/6 X)^2
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