Ratio of volumes of similar solids

Ratio of volumes of similar solids

This 3D scene explains the correlation between the ratio of similarity and the ratio of volume of geometric solids.

Matematika

Raktiniai žodžiai

Garsas, Sfera, Piramidė, Kubas, Kuboidas, Dešinysis apskritas kūgis, santykis, paviršius, formulė, Spindulys, Aukštis, reguliarios kvadratinės piramidės, briauna, pagrindinė plokštė, kieta figūra, Erdvė, Panašumas, középpont, Geometrijos įrankiai, Kietoji geometrija, Matematika

Susiję elementai

Vaizdai

Susiję elementai

Perimeter, area, surface area and volume

This animation presents the formulas to calculate the perimeter and area of shapes as well as the surface area and volume of solids.

Volume of spheres (Cavalieri´s principle)

Calculating the volume of a sphere is possible using an appropriate cylinder and cone.

Volume of spheres (demonstration)

The sum of the volume of the ´tetrahedrons´ gives an approximation of the volume of the sphere.

Conic solids

This animation demonstrates various types of cones and pyramids.

Cube

This animation demonstrates the components (vertices, edges, diagonals and faces) of the cube, one of the Platonic solids.

Cuboid

A cuboid is a polyhedron with six rectangular faces.

Regular square pyramid

A regular square pyramid is a right pyramid with a square base and four triangular faces.

Volume and surface area (exercise)

An exercise about the volume and surface area of solids generated from a ´base cube´.

Volume of a tetrahedron

To calculate the volume of a tetrahedron we start by calculating the volume of a prism.

Grouping of cuboids

This animation demonstrates various types of cuboids through everyday objects.

Grouping of solids

This animation demonstrates various groups of solids through examples.

Grouping of solids 1

This animation demonstrates various groups of solids through examples.

Grouping of solids 2

This animation demonstrates various groups of solids through examples.

Grouping of solids 3

This animation demonstrates various groups of solids through examples.

Grouping of solids 4

This animation demonstrates various groups of solids through examples.

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