AP®︎ Calculus BC: Topic 8.7 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.7 of AP Calculus BC – Volumes with Cross Sections: Squares and Rectangles.


Questions List

Topic 8.7

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11

Question 1 Easy

Figure

The base of a solid is the region bounded by y=xy=\sqrt{x}, the x-axis, and x=4x=4. Cross sections perpendicular to the x-axis are squares. What is the volume of the solid?

A22
B163\frac{16}{3}
C88
D8π8\pi

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 8.7: Volumes with Cross Sections: Squares and Rectangles

Learning Objective: CHA-5.B

Calculate volumes of solids with known cross sections using definite integrals.

Essential Knowledge: CHA-5.B.1

Volumes of solids with square and rectangular cross sections can be found using definite integrals and the area formulas for these shapes.