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Edge length a of Corner of a Cube given Height (h) Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt(1/((1/Height^2)-(1/Side B^2)-(1/Side C^2)))
a = sqrt(1/((1/h^2)-(1/b^2)-(1/c^2)))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side C - Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
Side C: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt(1/((1/h^2)-(1/b^2)-(1/c^2))) --> sqrt(1/((1/12^2)-(1/7^2)-(1/4^2)))
Evaluating ... ...
a = NaN
STEP 3: Convert Result to Output's Unit
NaN Meter --> No Conversion Required
FINAL ANSWER
NaN Meter <-- Side A
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go

11 Other formulas that calculate the same Output

Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
Side of Rhombus when area and angle are given
side_a = sqrt(Area)/sqrt(sin(Angle Between Sides)) Go
Side a of a triangle given side b, angles A and B
side_a = (Side B*sin(Angle A))/sin(Angle B) Go
Side of a parallelogram when diagonal and the other side is given
side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2 Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Side of a Rhombus when Diagonals are given
side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2 Go
Side 'a' of a parallelogram if angle related to the side and height is known
side_a = Height of column 2/sin(Angle A) Go
Side of the parallelogram when the height and sine of an angle are given
side_a = Height/sin(Theta) Go
Side of a Kite when other side and perimeter are given
side_a = (Perimeter/2)-Side B Go
Side of the parallelogram when the area and height of the parallelogram are given
side_a = Area/Height Go
Side of Rhombus when area and height are given
side_a = Area/Height Go

Edge length a of Corner of a Cube given Height (h) Formula

side_a = sqrt(1/((1/Height^2)-(1/Side B^2)-(1/Side C^2)))
a = sqrt(1/((1/h^2)-(1/b^2)-(1/c^2)))

What is Cube?

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

How to Calculate Edge length a of Corner of a Cube given Height (h)?

Edge length a of Corner of a Cube given Height (h) calculator uses side_a = sqrt(1/((1/Height^2)-(1/Side B^2)-(1/Side C^2))) to calculate the Side A, The Edge length a of Corner of a Cube given Height (h) formula is defined as a straight line connecting two adjacent vertices of corner of cube. Side A and is denoted by a symbol.

How to calculate Edge length a of Corner of a Cube given Height (h) using this online calculator? To use this online calculator for Edge length a of Corner of a Cube given Height (h), enter Height (h), Side B (b) and Side C (c) and hit the calculate button. Here is how the Edge length a of Corner of a Cube given Height (h) calculation can be explained with given input values -> NaN = sqrt(1/((1/12^2)-(1/7^2)-(1/4^2))).

FAQ

What is Edge length a of Corner of a Cube given Height (h)?
The Edge length a of Corner of a Cube given Height (h) formula is defined as a straight line connecting two adjacent vertices of corner of cube and is represented as a = sqrt(1/((1/h^2)-(1/b^2)-(1/c^2))) or side_a = sqrt(1/((1/Height^2)-(1/Side B^2)-(1/Side C^2))). Height is the distance between the lowest and highest points of a person standing upright, Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Edge length a of Corner of a Cube given Height (h)?
The Edge length a of Corner of a Cube given Height (h) formula is defined as a straight line connecting two adjacent vertices of corner of cube is calculated using side_a = sqrt(1/((1/Height^2)-(1/Side B^2)-(1/Side C^2))). To calculate Edge length a of Corner of a Cube given Height (h), you need Height (h), Side B (b) and Side C (c). With our tool, you need to enter the respective value for Height, Side B and Side C and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Side A?
In this formula, Side A uses Height, Side B and Side C. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A))
  • side_a = (Area*cosec(Angle Between Sides))/Side B
  • side_a = (Perimeter/2)-Side B
  • side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2
  • side_a = Area/Height
  • side_a = sqrt(Area)/sqrt(sin(Angle Between Sides))
  • side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2
  • side_a = Height/sin(Theta)
  • side_a = Area/Height
  • side_a = (Side B*sin(Angle A))/sin(Angle B)
  • side_a = Height of column 2/sin(Angle A)
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