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2. Moscow Mathematical Papyrus - Wikipedia

   en.wikipedia.org/wiki/Moscow_Mathematical_Papyrus

   The tenth problem of the Moscow Mathematical Papyrus asks for a calculation of the surface area of a hemisphere (Struve, Gillings) or possibly the area of a semi-cylinder (Peet). Below we assume that the problem refers to the area of a hemisphere. The text of problem 10 runs like this: "Example of calculating a basket.

3. Pyramid (geometry) - Wikipedia

   en.wikipedia.org/wiki/Pyramid_(geometry)

   In the case of a pyramid, its surface area is the sum of the area of triangles and the area of the polygonal base. The volume of a pyramid is the one-third product of the base's area and the height. The pyramid height is defined as the length of the line segment between the apex and its orthogonal projection on the base.

4. Surface area - Wikipedia

   en.wikipedia.org/wiki/Surface_area

   A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...

5. Egyptian geometry - Wikipedia

   en.wikipedia.org/wiki/Egyptian_geometry

   The Rhind Mathematical Papyrus. Egyptian geometry refers to geometry as it was developed and used in Ancient Egypt.Their geometry was a necessary outgrowth of surveying to preserve the layout and ownership of farmland, which was flooded annually by the Nile river.

6. Elongated triangular pyramid - Wikipedia

   en.wikipedia.org/wiki/Elongated_triangular_pyramid

   An elongated triangular pyramid with edge length has a height, by adding the height of a regular tetrahedron and a triangular prism: [4] (+). Its surface area can be calculated by adding the area of all eight equilateral triangles and three squares: [2] (+), and its volume can be calculated by slicing it into a regular tetrahedron and a prism, adding their volume up: [2]: ((+)).

7. Tetrahedron - Wikipedia

   en.wikipedia.org/wiki/Tetrahedron

   The volume of a tetrahedron can be obtained in many ways. It can be given by using the formula of the pyramid's volume: =. where is the base' area and is the height from the base to the apex. This applies for each of the four choices of the base, so the distances from the apices to the opposite faces are inversely proportional to the areas of ...