Length Of Diagonal Of Cube
Cube Shape
a = side lengths
f = face diagonal
d = solid diagonal
S = surface area
V = volume
Calculator Use
Enter whatever 1 known variable for a cube into this online calculator to calculate 4 other unknown variables. A cube is a special instance where l = westward = h for a rectangular prism.
Units: Note that units are shown for convenience simply do non bear on the calculations. The units are in place to give an indication of the order of the results such equally ft, ft2 or ft3. For example, if you are starting with a in mm, your calculations volition effect with V in mm3, S in mm2 and d in mm.
Formulas for a cube:
- Volume of a cube:
- V = athree
- Surface area of a cube:
- the area of each confront (a 10 a) times 6 faces
- S = 6aii
- Face diagonal of a cube:
- By the pythagorean theorem we know that
- f2 = a2 + aii
- And so ftwo = 2a2
- solving for f we get
- f = a√two
- Diagonal of the solid cube:
- Again, by the pythagorean theorem we know that
- d2 = atwo + f2
- substituting f into this equation we go
- dtwo = a2 + (a√2)2 = a2 + 2a2 = 3a2
- solving for d we get
- d = a√iii
A cube is a special instance of a rectangular prism where fifty = w = h.
For more information on cuboids see: Weisstein, Eric W. "Cuboid." From MathWorld--A Wolfram Spider web Resource, Cube.
Length Of Diagonal Of Cube,
Source: https://www.calculatorsoup.com/calculators/geometry-solids/cube.php
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