The provided textbook problem states that the new volume is calculated to be 2, however, I calculated the new volume to be 5/2. Could someone fact-check that the answer is 2 and explain why that is? Please and thank you.
2026-04-13 00:47:24.1776041244
Confused with textbook problem (Questioning if it is even correct)
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The new volume is definitely $2$. Here is a quick way to see that:
Here, $\mathcal T(C_2)$ is divided into four triangles that each have area $\frac12$ (for example, because viewed sideways they have a base of length $1$ and an altitude of length $1$).