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

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✖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.ⓘ Side A [a]			+10% -10%
✖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.ⓘ Side [s]			+10% -10%

✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume (V) of Square Pyramid given Edge length (e) and Height (h) is missing [V]

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Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 1000+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1000+ more calculators!

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)

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

< 11 Other formulas that you can solve using the same Inputs

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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

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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

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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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