Total Surface Area of Pyramid Calculator

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

✖Total Surface Area of Pyramid is the total amount of two-dimensional space occupied by all the faces of the Pyramid.ⓘ Total Surface Area of Pyramid [TSA]

⎘ Copy

👎

Formula

✖

Total Surface Area of Pyramid

Formula

`"TSA" = "l"_{"e(Base)"}^2+("l"_{"e(Base)"}*sqrt((4*"h"^2)+"l"_{"e(Base)"}^2))`

Example

`"416.2278m²"=("10m")^2+("10m"*sqrt((4*("15m")^2)+("10m")^2))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Total Surface Area of Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Pyramid = Edge Length of Base of Pyramid^2+(Edge Length of Base of Pyramid*sqrt((4*Height of Pyramid^2)+Edge Length of Base of Pyramid^2))
TSA = l_e(Base)^2+(l_e(Base)*sqrt((4*h^2)+l_e(Base)^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 Pyramid - (Measured in Square Meter) - Total Surface Area of Pyramid is the total amount of two-dimensional space occupied by all the faces of the Pyramid.
Edge Length of Base of Pyramid - (Measured in Meter) - Edge Length of Base of Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Pyramid.
Height of Pyramid - (Measured in Meter) - Height of Pyramid is the length of the perpendicular from the apex to the base of the Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Pyramid: 10 Meter --> 10 Meter No Conversion Required
Height of Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = l_e(Base)^2+(l_e(Base)*sqrt((4*h^2)+l_e(Base)^2)) --> 10^2+(10*sqrt((4*15^2)+10^2))

Evaluating ... ...

TSA = 416.227766016838

STEP 3: Convert Result to Output's Unit

416.227766016838 Square Meter --> No Conversion Required

FINAL ANSWER

416.227766016838 ≈ 416.2278 Square Meter <-- Total Surface Area of Pyramid

(Calculation completed in 00.008 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Pyramid » Pyramid » Total Surface Area of Pyramid

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 4 Pyramid Calculators

Total Surface Area of Pyramid

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

Lateral Surface Area of Pyramid

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

Volume of Pyramid

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

Base Area of Pyramid

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

Total Surface Area of Pyramid Formula

What is a Pyramid?

A Pyramid is a three-dimensional shape that has a polygon as its base and triangular faces that meet at a single point called the apex. Pyramids can have different types of bases, such as a triangle, square, rectangle, pentagon, hexagon, and so on. Pyramids are used in various areas of mathematics and physics, such as geometry, trigonometry, calculus, and solid mechanics.

How to Calculate Total Surface Area of Pyramid?

Total Surface Area of Pyramid calculator uses Total Surface Area of Pyramid = Edge Length of Base of Pyramid^2+(Edge Length of Base of Pyramid*sqrt((4*Height of Pyramid^2)+Edge Length of Base of Pyramid^2)) to calculate the Total Surface Area of Pyramid, The Total Surface Area of Pyramid can be defined as the total amount of two-dimensional space occupied by all the faces of the Pyramid. Total Surface Area of Pyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Pyramid using this online calculator? To use this online calculator for Total Surface Area of Pyramid, enter Edge Length of Base of Pyramid (l_e(Base)) & Height of Pyramid (h) and hit the calculate button. Here is how the Total Surface Area of Pyramid calculation can be explained with given input values -> 416.2278 = 10^2+(10*sqrt((4*15^2)+10^2)).

FAQ

What is Total Surface Area of Pyramid?

The Total Surface Area of Pyramid can be defined as the total amount of two-dimensional space occupied by all the faces of the Pyramid and is represented as TSA = l_e(Base)^2+(l_e(Base)*sqrt((4*h^2)+l_e(Base)^2)) or Total Surface Area of Pyramid = Edge Length of Base of Pyramid^2+(Edge Length of Base of Pyramid*sqrt((4*Height of Pyramid^2)+Edge Length of Base of Pyramid^2)). Edge Length of Base of Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Pyramid & Height of Pyramid is the length of the perpendicular from the apex to the base of the Pyramid.

How to calculate Total Surface Area of Pyramid?

The Total Surface Area of Pyramid can be defined as the total amount of two-dimensional space occupied by all the faces of the Pyramid is calculated using Total Surface Area of Pyramid = Edge Length of Base of Pyramid^2+(Edge Length of Base of Pyramid*sqrt((4*Height of Pyramid^2)+Edge Length of Base of Pyramid^2)). To calculate Total Surface Area of Pyramid, you need Edge Length of Base of Pyramid (l_e(Base)) & Height of Pyramid (h). With our tool, you need to enter the respective value for Edge Length of Base of Pyramid & Height of Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search