Edge Length of Base of Square Pyramid given Slant Height Calculator

✖Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.ⓘ Slant Height of Square Pyramid [h_slant]			+10% -10%
✖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%

✖Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.ⓘ Edge Length of Base of Square Pyramid given Slant Height [l_e(Base)]

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Edge Length of Base of Square Pyramid given Slant Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)
l_e(Base) = 2*sqrt(h_slant^2-h^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Edge Length of Base of Square Pyramid - (Measured in Meter) - Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.
Slant Height of Square Pyramid - (Measured in Meter) - Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.
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.

STEP 1: Convert Input(s) to Base Unit

Slant Height of Square Pyramid: 16 Meter --> 16 Meter No Conversion Required
Height of Square Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Base) = 2*sqrt(h_slant^2-h^2) --> 2*sqrt(16^2-15^2)

Evaluating ... ...

l_e(Base) = 11.13552872566

STEP 3: Convert Result to Output's Unit

11.13552872566 Meter --> No Conversion Required

FINAL ANSWER

11.13552872566 ≈ 11.13553 Meter <-- Edge Length of Base of Square Pyramid

(Calculation completed in 00.021 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Edge Length of Square Pyramid Calculators

Lateral Edge Length of Square Pyramid given Slant Height

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2)

Edge Length of Base of Square Pyramid given Lateral Edge Length

LaTeX Go Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Edge Length of Base of Square Pyramid given Slant Height

LaTeX Go Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)

< Important Formulas of Regular Square Pyramid Calculators

Base Angle of Square Pyramid

LaTeX Go Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid))

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Slant Height of Square Pyramid

LaTeX Go Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)

Base Area of Square Pyramid

LaTeX Go Base Area of Square Pyramid = Edge Length of Base of Square Pyramid^2

Edge Length of Base of Square Pyramid given Slant Height Formula

LaTeX Go

Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)
l_e(Base) = 2*sqrt(h_slant^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 Edge Length of Base of Square Pyramid given Slant Height?

Edge Length of Base of Square Pyramid given Slant Height calculator uses Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2) to calculate the Edge Length of Base of Square Pyramid, Edge Length of Base of Square Pyramid given Slant Height formula is defined as the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the slant height of the Square Pyramid. Edge Length of Base of Square Pyramid is denoted by l_e(Base) symbol.

How to calculate Edge Length of Base of Square Pyramid given Slant Height using this online calculator? To use this online calculator for Edge Length of Base of Square Pyramid given Slant Height, enter Slant Height of Square Pyramid (h_slant) & Height of Square Pyramid (h) and hit the calculate button. Here is how the Edge Length of Base of Square Pyramid given Slant Height calculation can be explained with given input values -> 11.13553 = 2*sqrt(16^2-15^2).

FAQ

What is Edge Length of Base of Square Pyramid given Slant Height?

Edge Length of Base of Square Pyramid given Slant Height formula is defined as the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the slant height of the Square Pyramid and is represented as l_e(Base) = 2*sqrt(h_slant^2-h^2) or Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2). Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face & Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

How to calculate Edge Length of Base of Square Pyramid given Slant Height?

Edge Length of Base of Square Pyramid given Slant Height formula is defined as the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the slant height of the Square Pyramid is calculated using Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2). To calculate Edge Length of Base of Square Pyramid given Slant Height, you need Slant Height of Square Pyramid (h_slant) & Height of Square Pyramid (h). With our tool, you need to enter the respective value for Slant Height of Square Pyramid & Height 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 Edge Length of Base of Square Pyramid?

In this formula, Edge Length of Base of Square Pyramid uses Slant Height of Square Pyramid & Height of Square Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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