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Edge length of the base (a) of Square Pyramid given Volume (V) Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt(3*Volume/Height)
a = sqrt(3*V/h)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt(3*V/h) --> sqrt(3*63/12)
Evaluating ... ...
a = 3.96862696659689
STEP 3: Convert Result to Output's Unit
3.96862696659689 Meter --> No Conversion Required
FINAL ANSWER
3.96862696659689 Meter <-- Side A
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

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
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) 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 of the base (a) of Square Pyramid given Volume (V) Formula

side_a = sqrt(3*Volume/Height)
a = sqrt(3*V/h)

What is Square Pyramid?

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C₄ᵥ symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J₁

How to Calculate Edge length of the base (a) of Square Pyramid given Volume (V)?

Edge length of the base (a) of Square Pyramid given Volume (V) calculator uses side_a = sqrt(3*Volume/Height) to calculate the Side A, The Edge length of the base (a) of Square Pyramid given Volume (V) formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid. Side A and is denoted by a symbol.

How to calculate Edge length of the base (a) of Square Pyramid given Volume (V) using this online calculator? To use this online calculator for Edge length of the base (a) of Square Pyramid given Volume (V), enter Volume (V) and Height (h) and hit the calculate button. Here is how the Edge length of the base (a) of Square Pyramid given Volume (V) calculation can be explained with given input values -> 3.968627 = sqrt(3*63/12).

FAQ

What is Edge length of the base (a) of Square Pyramid given Volume (V)?
The Edge length of the base (a) of Square Pyramid given Volume (V) formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid and is represented as a = sqrt(3*V/h) or side_a = sqrt(3*Volume/Height). Volume is the amount of space that a substance or object occupies or that is enclosed within a container and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length of the base (a) of Square Pyramid given Volume (V)?
The Edge length of the base (a) of Square Pyramid given Volume (V) formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid is calculated using side_a = sqrt(3*Volume/Height). To calculate Edge length of the base (a) of Square Pyramid given Volume (V), you need Volume (V) and Height (h). With our tool, you need to enter the respective value for Volume and Height 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 Volume and Height. 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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