Volume of Square Pyramid given Lateral Edge Length and Height Calculator

✖Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.ⓘ Height of Square Pyramid [h]			+10% -10%
✖Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.ⓘ Lateral Edge Length of Square Pyramid [l_e(Lateral)]			+10% -10%

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

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Formula

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Volume of Square Pyramid given Lateral Edge Length and Height

Formula

`"V" = 1/3*"h"*(2*("l"_{"e(Lateral)"}^2-"h"^2))`

Example

`"640m³"=1/3*"15m"*(2*(("17m")^2-("15m")^2))`

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Volume of Square Pyramid given Lateral Edge Length and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))
V = 1/3*h*(2*(l_e(Lateral)^2-h^2))
This formula uses 3 Variables

Variables Used

Volume of Square Pyramid - (Measured in Cubic Meter) - Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid.
Height of Square Pyramid - (Measured in Meter) - Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.
Lateral Edge Length of Square Pyramid - (Measured in Meter) - Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Square Pyramid: 15 Meter --> 15 Meter No Conversion Required
Lateral Edge Length of Square Pyramid: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/3*h*(2*(l_e(Lateral)^2-h^2)) --> 1/3*15*(2*(17^2-15^2))

Evaluating ... ...

V = 640

STEP 3: Convert Result to Output's Unit

640 Cubic Meter --> No Conversion Required

FINAL ANSWER

640 Cubic Meter <-- Volume of Square Pyramid

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 5 Volume of Square Pyramid Calculators

Volume of Square Pyramid given Lateral Edge Length

Go Volume of Square Pyramid = 1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)

Volume of Square Pyramid given Slant Height

Go Volume of Square Pyramid = 1/3*Edge Length of Base of Square Pyramid^2*sqrt(Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)

Volume of Square Pyramid given Lateral Edge Length and Height

Go Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))

Volume of Square Pyramid given Slant Height and Height

Go Volume of Square Pyramid = 1/3*Height of Square Pyramid*(4*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2))

Volume of Square Pyramid

Go Volume of Square Pyramid = (Edge Length of Base of Square Pyramid^2* Height of Square Pyramid)/3

Volume of Square Pyramid given Lateral Edge Length and Height Formula

Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))
V = 1/3*h*(2*(l_e(Lateral)^2-h^2))

What is a Square Pyramid?

A Square Pyramid is a pyramid with a square base and four isosceles triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 isosceles triangular faces and a square base. Also, It has 5 vertices and 8 edges.

How to Calculate Volume of Square Pyramid given Lateral Edge Length and Height?

Volume of Square Pyramid given Lateral Edge Length and Height calculator uses Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)) to calculate the Volume of Square Pyramid, Volume of Square Pyramid given Lateral Edge Length and Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid. Volume of Square Pyramid is denoted by V symbol.

How to calculate Volume of Square Pyramid given Lateral Edge Length and Height using this online calculator? To use this online calculator for Volume of Square Pyramid given Lateral Edge Length and Height, enter Height of Square Pyramid (h) & Lateral Edge Length of Square Pyramid (l_e(Lateral)) and hit the calculate button. Here is how the Volume of Square Pyramid given Lateral Edge Length and Height calculation can be explained with given input values -> 640 = 1/3*15*(2*(17^2-15^2)).

FAQ

What is Volume of Square Pyramid given Lateral Edge Length and Height?

Volume of Square Pyramid given Lateral Edge Length and Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid and is represented as V = 1/3*h*(2*(l_e(Lateral)^2-h^2)) or Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)). Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid & Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.

How to calculate Volume of Square Pyramid given Lateral Edge Length and Height?

Volume of Square Pyramid given Lateral Edge Length and Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid is calculated using Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)). To calculate Volume of Square Pyramid given Lateral Edge Length and Height, you need Height of Square Pyramid (h) & Lateral Edge Length of Square Pyramid (l_e(Lateral)). With our tool, you need to enter the respective value for Height of Square Pyramid & Lateral Edge Length of 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 Square Pyramid?

In this formula, Volume of Square Pyramid uses Height of Square Pyramid & Lateral Edge Length of Square Pyramid. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume of Square Pyramid = (Edge Length of Base of Square Pyramid^2* Height of Square Pyramid)/3
Volume of Square Pyramid = 1/3*Height of Square Pyramid*(4*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2))
Volume of Square Pyramid = 1/3*Edge Length of Base of Square Pyramid^2*sqrt(Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)
Volume of Square Pyramid = 1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)

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