Far East Journal of Mathematical Education

The Far East Journal of Mathematical Education is a peer-reviewed journal focused on mathematical education. It publishes research papers that enhance understanding of mathematical concepts and encourages the use of technology, statistics, algorithms, and simulations in mathematics learning.

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THE VOLUME OF FRUSTUM OF A SQUARE PYRAMID VIA CAVALIERI’S PRINCIPLE

Authors

  • Chuya Fukuda

Keywords:

frustum of a square pyramid, Cavalieri’s principle.

DOI:

https://doi.org/10.17654/0973563123013

Abstract

Area:
$$
\left(b-\frac{b-a}{h} x\right)^2=b^2+\left(\frac{b-a}{h} x\right)^2-2 b \frac{b-a}{h} x .
$$
Volume:
$$
\frac{h}{3}\left(a^2+b^2+a b\right)=b^2 h+\frac{h}{3}(b-a)^2-\left(2 b \frac{b-a}{h} \cdot h \cdot h\right) \cdot \frac{1}{2}
$$



Received: July 2, 2023
Accepted: September 7, 2023

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Published

14-09-2023

Issue

Vol. 25 (2023)

Section

Articles

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How to Cite

THE VOLUME OF FRUSTUM OF A SQUARE PYRAMID VIA CAVALIERI’S PRINCIPLE. (2023). Far East Journal of Mathematical Education, 25, 25-26. https://doi.org/10.17654/0973563123013