Arithmetic problems of solid geometry

Arithmetic problems of solid geometry involve calculations and analyses related to three-dimensional shapes and structures. These problems can include a variety of topics, such as the calculation of volumes, surface areas, and dimensions of solids. Here are some common types of arithmetic problems within solid geometry: 1. **Volume Calculations**: - Finding the volume of common solids such as cubes, rectangular prisms, cylinders, cones, spheres, and pyramids using their respective formulas.

A Heronian tetrahedron is a type of tetrahedron (a three-dimensional geometric figure with four triangular faces) whose vertices are all rational points (i.e., points with rational coordinates) and whose face areas are all rational numbers. This means that the lengths of the edges and the areas of the triangular faces can be expressed as rational numbers.