Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.1 Areas and Volumes by Slices, #30 · Calculus · Applications of integrals

(b) Recompute by removing a smaller pyramid from

Find the volume and draw a typical slice.

A pyramid $P$ has height 6 and square base of side 2. Its volume is $\frac{1}{3} (6) (2^{2}) = 8$ .

(a) Find the volume up to height 3 by horizontal slices. What is the length of a side at height $y$ ?

(b) Recompute by removing a smaller pyramid from $P$ .

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.1 Areas and Volumes by Slices, #30

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.