Total Surface Area of Square Pyramid given Lateral Edge Length and Height 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%
✖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%

✖Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid.ⓘ Total Surface Area of Square Pyramid given Lateral Edge Length and Height [TSA]

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Total Surface Area of Square Pyramid given Lateral Edge Length and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Square Pyramid = (2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2)))
TSA = (2*(l_e(Lateral)^2-h^2))+(sqrt(2*(l_e(Lateral)^2-h^2))*sqrt(2*(l_e(Lateral)^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

Total Surface Area of Square Pyramid - (Measured in Square Meter) - Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces 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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (2*(l_e(Lateral)^2-h^2))+(sqrt(2*(l_e(Lateral)^2-h^2))*sqrt(2*(l_e(Lateral)^2+h^2))) --> (2*(17^2-15^2))+(sqrt(2*(17^2-15^2))*sqrt(2*(17^2+15^2)))

Evaluating ... ...

TSA = 490.745089560148

STEP 3: Convert Result to Output's Unit

490.745089560148 Square Meter --> No Conversion Required

FINAL ANSWER

490.745089560148 ≈ 490.7451 Square Meter <-- Total Surface Area of Square Pyramid

(Calculation completed in 00.004 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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< Surface Area of Square Pyramid Calculators

Total Surface Area of Square Pyramid

LaTeX Go Total Surface Area of Square Pyramid = Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Height of Square Pyramid^2)+Edge Length of Base of Square Pyramid^2))

Total Surface Area of Square Pyramid given Slant Height

LaTeX Go Total Surface Area of Square Pyramid = (2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2

Lateral Surface Area of Square Pyramid given Slant Height

LaTeX Go Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid

Base Area of Square Pyramid

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

Total Surface Area of Square Pyramid given Lateral Edge Length and Height Formula

LaTeX Go

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 Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

Total Surface Area of Square Pyramid given Lateral Edge Length and Height calculator uses Total Surface Area of Square Pyramid = (2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))) to calculate the Total Surface Area of Square Pyramid, Total Surface Area of Square Pyramid given Lateral Edge Length and Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid. Total Surface Area of Square Pyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Square Pyramid given Lateral Edge Length and Height using this online calculator? To use this online calculator for Total Surface Area of Square Pyramid given Lateral Edge Length and Height, enter Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h) and hit the calculate button. Here is how the Total Surface Area of Square Pyramid given Lateral Edge Length and Height calculation can be explained with given input values -> 490.7451 = (2*(17^2-15^2))+(sqrt(2*(17^2-15^2))*sqrt(2*(17^2+15^2))).

FAQ

What is Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

Total Surface Area of Square Pyramid given Lateral Edge Length and Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid and is represented as TSA = (2*(l_e(Lateral)^2-h^2))+(sqrt(2*(l_e(Lateral)^2-h^2))*sqrt(2*(l_e(Lateral)^2+h^2))) or Total Surface Area of Square Pyramid = (2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))). Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid & Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

How to calculate Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

Total Surface Area of Square Pyramid given Lateral Edge Length and Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid is calculated using Total Surface Area of Square Pyramid = (2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))). To calculate Total Surface Area of Square Pyramid given Lateral Edge Length and Height, you need Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h). With our tool, you need to enter the respective value for Lateral Edge Length 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 Total Surface Area of Square Pyramid?

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

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

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