THE VOLUME OF FRUSTUM OF A SQUARE PYRAMID IDENTIFIED UNDER RESTRICTIVE CONDITION

Abstract

Let $V(x, y, z)$ represent the volume of frustum of a square pyramid whose top side length is $x$, bottom side length is $y$, and height is $z$. $V(x, y, z)$ is a cubic expression of $x, y, z$. Here, as a restrictive condition, we assume that it is known that the exponents on $x, y$ and $z$ in the formula of $V(x, y, z)$ are zero or positive integers. Due to this restrictive condition, only the 10 terms $\left(x^3, y^3, z^3, x y^2, x z^2\right.$, $y x^2, y z^2, z x^2, z y^2$, and $\left.x y z\right)$ need to be considered in the formula of $V(x, y, z)$.

Received: November 14, 2023
Accepted: December 2, 2023