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Its volume would be multiplied by the cube of 2 and become 8 m 3. The original cube (1 m sides) has a surface area to volume ratio of 6:1. The larger (2 m sides) cube has a surface area to volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the square–cube law.
The surface-area-to-volume ratio (SA:V) is the ratio between surface area and volume of an object or collection of objects. It is used to explain the relation between structure and function in processes occurring through the surface and the volume, such as diffusion, heat transfer, and biology.
A cube of a number is its third power, the result of multiplying three instances of the number together. Learn about the cube function, the cube root, the cubic parabola, and the perfect cubes in integers and base ten.
Volume is a measure of regions in three-dimensional space, often quantified using SI or imperial units. Learn about the history of volume calculation, the standardization of units, and the formulas for common shapes.
Learn about the SI unit of volume, its symbol, conversions, multiples and submultiples. A cubic metre is the volume of a cube with edges one metre long and equals 1000 litres or 1 tonne of water.
A cubic centimetre is a unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm. It is also used to measure the displacement of internal combustion engines and has a Unicode symbol ㎤.
Specific volume (symbol: ν, nu) is the volume of a substance per unit mass. It is the reciprocal of density and related to molar volume and molar mass. Learn how to calculate specific volume for ideal gases and solutions, and see a table of common specific volumes.
A tesseract or 4-cube is a four-dimensional analogue of a cube and a square, with eight cubical cells, 24 square faces, and 32 edges. Learn about its geometry, coordinates, nets, construction, and properties from this comprehensive Wikipedia article.