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Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2)))
V = (1/3)*(a^2)*(sqrt((s^2)-((a^2)/2)))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side A - Side A 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 - The side 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
Side A: 8 Meter --> 8 Meter No Conversion Required
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (1/3)*(a^2)*(sqrt((s^2)-((a^2)/2))) --> (1/3)*(8^2)*(sqrt((9^2)-((8^2)/2)))
Evaluating ... ...
V = 149.333333333333
STEP 3: Convert Result to Output's Unit
149.333333333333 Cubic Meter --> No Conversion Required
FINAL ANSWER
149.333333333333 Cubic Meter <-- Volume
(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
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Lateral Surface Area of a Pyramid
lateral_surface_area = Side*sqrt(Side^2+4*(Height)^2) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go
Area of a Square when side is given
area = (Side A)^2 Go
Volume of a Cube
volume = Side^3 Go

11 Other formulas that calculate the same Output

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Volume of Regular Dodecahedron
volume = ((15+(7*sqrt(5)))*Side^3)/4 Go
Volume of Regular Icosahedron
volume = (5*(3+sqrt(5))*Side^3)/12 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Volume of a Cube
volume = Side^3 Go

Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing Formula

volume = (1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2)))
V = (1/3)*(a^2)*(sqrt((s^2)-((a^2)/2)))

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 Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing?

Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing calculator uses volume = (1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2))) to calculate the Volume, The Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing formula is defined as an amount of three dimensional space covered by Square Pyramid. Volume and is denoted by V symbol.

How to calculate Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing using this online calculator? To use this online calculator for Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing, enter Side A (a) and Side (s) and hit the calculate button. Here is how the Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing calculation can be explained with given input values -> 149.3333 = (1/3)*(8^2)*(sqrt((9^2)-((8^2)/2))).

FAQ

What is Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing?
The Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing formula is defined as an amount of three dimensional space covered by Square Pyramid and is represented as V = (1/3)*(a^2)*(sqrt((s^2)-((a^2)/2))) or volume = (1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2))). Side A 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 The side 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 Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing?
The Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing formula is defined as an amount of three dimensional space covered by Square Pyramid is calculated using volume = (1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2))). To calculate Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing, you need Side A (a) and Side (s). With our tool, you need to enter the respective value for Side A and Side 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 Volume?
In this formula, Volume uses Side A and Side. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • volume = pi*(Radius)^2*((4/3)*Radius+Side)
  • volume = (1/3)*pi*(Radius)^2*Height
  • volume = pi*(Radius)^2*Height
  • volume = Side^3
  • volume = (2/3)*pi*(Radius)^3
  • volume = (4/3)*pi*(Radius)^3
  • volume = (1/3)*Side^2*Height
  • volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
  • volume = Width*Height*Length
  • volume = ((15+(7*sqrt(5)))*Side^3)/4
  • volume = (5*(3+sqrt(5))*Side^3)/12
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