Volume of Equilateral Square Pyramid given Height Calculator

Math Chemistry Engineering Financial Health Physics Playground

↳

Geometry Algebra Arithmetic Combinatorics Probability and Disribution Sequence and Series Sets, Relations and Functions Statistics Trigonometry and Inverse Trigonometry

⤿

3D Geometry 2D Geometry 4D Geometry

⤿

Pyramids Anticube Antiprism Archimedean Solids Barrel Bent Cuboid Bicone Capsule CatalanSolids Circular Hyperboloid Cone Cuboctahedron Cuboid Cut Cylinder Cut Cylindrical Shell Cylinder Cylindrical Shell Diagonally Halved Cylinder Disphenoid Double Calotte Double Point Ellipsoid Elliptic Cylinder Elongated Dodecahedron Flat End Cylinder Frustum of Cone Great Dodecahedron Great Icosahedron Great Stellated Dodecahedron Half Cylinder Half Tetrahedron Hemisphere Hollow Cuboid Hollow Cylinder Hollow Frustum Hollow Hemisphere Hollow Pyramid Hollow Sphere Ingot Johnson Solids Obelisk Oblique Cylinder Oblique Prism Obtuse Edged Cuboid Oloid Paraboloid Parallelepiped Platonic Solids Prismatoid Prisms Ramp Regular Bipyramid Rhombohedron Right Wedge Semi Ellipsoid Sharp Bent Cylinder Skewed Three Edged Prism Small Stellated Dodecahedron Solid of Revolution Sphere Spherical Cap Spherical Corner Spherical Ring Spherical Sector Spherical Segment Spherical Wedge Spherical Zone Square Pillar Star Pyramid Steinmetz Solids Stellated Octahedron Toroid Torus Trapezohedron Trirectangular Tetrahedron Truncated Rhombohedron

⤿

Square Pyramids Pyramids

⤿

Equilateral Square Pyramid Regular Square Pyramid Right Square Pyramid

✖Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.ⓘ Height of Equilateral Square Pyramid [h]

+10%

-10%

✖Volume of Equilateral Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid.ⓘ Volume of Equilateral Square Pyramid given Height [V]

⎘ Copy

👎

Formula

✖

Volume of Equilateral Square Pyramid given Height

Formula

V = (\frac{2}{3}) \cdot h^{3}

Example

228.6667 m³ = (\frac{2}{3}) \cdot {7 m}^{3}

Calculator

LaTeX

Reset

👍

Download Equilateral Square Pyramid Formulas PDF PDF Image

Volume of Equilateral Square Pyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3
V = (2/3)*h^3
This formula uses 2 Variables

Variables Used

Volume of Equilateral Square Pyramid - (Measured in Cubic Meter) - Volume of Equilateral Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid.
Height of Equilateral Square Pyramid - (Measured in Meter) - Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Equilateral Square Pyramid: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2/3)*h^3 --> (2/3)*7^3

Evaluating ... ...

V = 228.666666666667

STEP 3: Convert Result to Output's Unit

228.666666666667 Cubic Meter --> No Conversion Required

FINAL ANSWER

228.666666666667 ≈ 228.6667 Cubic Meter <-- Volume of Equilateral Square Pyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Pyramids » Square Pyramids » Equilateral Square Pyramid » Volume of Equilateral Square Pyramid given Height

Credits

Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

Surjojoti Som has created this Calculator and 100+ more calculators!

Verified by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

Harsh Raj has verified this Calculator and 50+ more calculators!

< 5 Equilateral Square Pyramid Calculators

Height of Equilateral Pyramid given TSA

Go Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)

Edge Length of Equilateral Square Pyramid given Surface Area

Go Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)

Edge Length of Equilateral Square Pyramid given Volume

Go Edge Length of Equilateral Square Pyramid = ((6*Volume of Equilateral Square Pyramid)/sqrt(2))^(1/3)

Edge Length of Equilateral Square Pyramid given Height

Go Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2)

Height of Equilateral Square Pyramid given Volume

Go Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3)

Volume of Equilateral Square Pyramid given Height Formula

Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3
V = (2/3)*h^3

What is an Equilateral Square Pyramid?

An Equilateral Square Pyramid is a pyramid with a square base and four equilateral triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 equilateral triangular faces and a square base. Also, It has 5 vertices and 8 edges. It is a square pyramid whose lateral faces are equilateral triangles, which implies all the edges of are of equal length.

How to Calculate Volume of Equilateral Square Pyramid given Height?

Volume of Equilateral Square Pyramid given Height calculator uses Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3 to calculate the Volume of Equilateral Square Pyramid, The Volume of Equilateral Square Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid. Volume of Equilateral Square Pyramid is denoted by V symbol.

How to calculate Volume of Equilateral Square Pyramid given Height using this online calculator? To use this online calculator for Volume of Equilateral Square Pyramid given Height, enter Height of Equilateral Square Pyramid (h) and hit the calculate button. Here is how the Volume of Equilateral Square Pyramid given Height calculation can be explained with given input values -> 228.6667 = (2/3)*7^3.

FAQ

What is Volume of Equilateral Square Pyramid given Height?

The Volume of Equilateral Square Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid and is represented as V = (2/3)*h^3 or Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3. Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.

How to calculate Volume of Equilateral Square Pyramid given Height?

The Volume of Equilateral Square Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid is calculated using Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3. To calculate Volume of Equilateral Square Pyramid given Height, you need Height of Equilateral Square Pyramid (h). With our tool, you need to enter the respective value for Height of Equilateral Square Pyramid 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 of Equilateral Square Pyramid?

In this formula, Volume of Equilateral Square Pyramid uses Height of Equilateral Square Pyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2)
Volume of Equilateral Square Pyramid = sqrt(2)/6*Edge Length of Equilateral Square Pyramid^3

Home

FREE PDFs

🔍 Search