Slant Height of Square Pyramid given Lateral Edge Length Calculator

✖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%
✖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 [l_e(Base)]			+10% -10%

✖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 given Lateral Edge Length [h_slant]

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Formula

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Slant Height of Square Pyramid given Lateral Edge Length

Formula

`"h"_{"slant"} = sqrt("l"_{"e(Lateral)"}^2-("l"_{"e(Base)"}^2)/4)`

Example

`"16.24808m"=sqrt(("17m")^2-(("10m")^2)/4)`

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Slant Height of Square Pyramid given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)
h_slant = sqrt(l_e(Lateral)^2-(l_e(Base)^2)/4)
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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Lateral Edge Length of Square Pyramid: 17 Meter --> 17 Meter No Conversion Required
Edge Length of Base of Square Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_slant = sqrt(l_e(Lateral)^2-(l_e(Base)^2)/4) --> sqrt(17^2-(10^2)/4)

Evaluating ... ...

h_slant = 16.2480768092719

STEP 3: Convert Result to Output's Unit

16.2480768092719 Meter --> No Conversion Required

FINAL ANSWER

16.2480768092719 ≈ 16.24808 Meter <-- Slant Height of Square Pyramid

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 6 Slant Height of Square Pyramid Calculators

Slant Height of Square Pyramid given Total Surface Area

Go Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+(((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4)

Slant Height of Square Pyramid given Volume

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

Slant Height of Square Pyramid given Lateral Edge Length and Height

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

Slant Height of Square Pyramid given Volume and Height

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

Slant Height of Square Pyramid given Lateral Edge Length

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

Slant Height of Square Pyramid

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

Slant Height of Square Pyramid given Lateral Edge Length Formula

Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)
h_slant = sqrt(l_e(Lateral)^2-(l_e(Base)^2)/4)

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 Slant Height of Square Pyramid given Lateral Edge Length?

Slant Height of Square Pyramid given Lateral Edge Length calculator uses Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4) to calculate the Slant Height of Square Pyramid, Slant Height of Square Pyramid given Lateral Edge Length formula is defined as the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face and is calculated using the lateral edge length of the Square Pyramid. Slant Height of Square Pyramid is denoted by h_slant symbol.

How to calculate Slant Height of Square Pyramid given Lateral Edge Length using this online calculator? To use this online calculator for Slant Height of Square Pyramid given Lateral Edge Length, enter Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Edge Length of Base of Square Pyramid (l_e(Base)) and hit the calculate button. Here is how the Slant Height of Square Pyramid given Lateral Edge Length calculation can be explained with given input values -> 16.24808 = sqrt(17^2-(10^2)/4).

FAQ

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

Slant Height of Square Pyramid given Lateral Edge Length formula is defined as the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face and is calculated using the lateral edge length of the Square Pyramid and is represented as h_slant = sqrt(l_e(Lateral)^2-(l_e(Base)^2)/4) or Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4). Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid & 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.

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

Slant Height of Square Pyramid given Lateral Edge Length formula is defined as the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face and is calculated using the lateral edge length of the Square Pyramid is calculated using Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4). To calculate Slant Height of Square Pyramid given Lateral Edge Length, you need Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Edge Length of Base of Square Pyramid (l_e(Base)). With our tool, you need to enter the respective value for Lateral Edge Length of Square Pyramid & Edge Length of Base 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 Slant Height of Square Pyramid?

In this formula, Slant Height of Square Pyramid uses Lateral Edge Length of Square Pyramid & Edge Length of Base of Square Pyramid. We can use 5 other way(s) to calculate the same, which is/are as follows -

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

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