Credits

St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 1000+ more calculators!
Don Bosco College of Engineering (DBCE), Goa
Alithea Fernandes has verified this Calculator and 100+ more calculators!

Total surface area of Square Pyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
total_surface_area = (2*Side A*Slant height of Square Pyramid)+(Side A^2)
SATotal = (2*Sa*Slant_heightSquare_Pyramid)+(Sa^2)
This formula uses 2 Variables
Variables Used
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Slant height of Square Pyramid - Slant height of Square Pyramid is the distance from the vertex to mid point on the edge length of base of Square Pyramid. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Slant height of Square Pyramid: 12.65 Meter --> 12.65 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SATotal = (2*Sa*Slant_heightSquare_Pyramid)+(Sa^2) --> (2*8*12.65)+(8^2)
Evaluating ... ...
SATotal = 266.4
STEP 3: Convert Result to Output's Unit
266.4 Square Meter --> No Conversion Required
FINAL ANSWER
266.4 Square Meter <-- Total Surface Area
(Calculation completed in 00.000 seconds)

7 Surface area of Square Pyramid Calculators

Surface area of Square Pyramid given slant height and missing edge length of base
surface_area = (4*((Slant Height of Square Pyramid^2)-(Height^2)))+((2*(sqrt((Slant Height of Square Pyramid^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height of Square Pyramid^2)-(Height^2)))))) Go
Surface area of Square Pyramid given edge length and missing edge length of base
surface_area = (2*((Edge length of Square Pyramid^2)-(Height^2)))+((sqrt(2*((Edge length of Square Pyramid^2)-(Height^2))))*(sqrt((4*(Height^2))+(2*((Edge length of Square Pyramid^2)-(Height^2)))))) Go
Surface area of Square Pyramid given slant height and missing height
surface_area = (Side A^2)+(Side A*(sqrt((4*((Slant height of Square Pyramid^2)-((Side A^2)/4)))+(Side A^2)))) Go
Surface area of Square Pyramid given edge length and missing height
surface_area = (Side A^2)+(Side A*(sqrt((4*((Edge length of Square Pyramid^2)-((Side A^2)/2)))+(Side A^2)))) Go
Surface area of Square Pyramid given edge length of base and height
surface_area = (Side A^2)+(Side A*(sqrt((4*(Height^2))+(Side A^2)))) Go
Total surface area of Square Pyramid
total_surface_area = (2*Side A*Slant height of Square Pyramid)+(Side A^2) Go
Lateral surface area of Square Pyramid
lateral_surface_area = 2*Side A*Slant height of Square Pyramid Go

Total surface area of Square Pyramid Formula

total_surface_area = (2*Side A*Slant height of Square Pyramid)+(Side A^2)
SATotal = (2*Sa*Slant_heightSquare_Pyramid)+(Sa^2)

what is square pyramid?

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid

How to Calculate Total surface area of Square Pyramid?

Total surface area of Square Pyramid calculator uses total_surface_area = (2*Side A*Slant height of Square Pyramid)+(Side A^2) to calculate the Total Surface Area, Total surface area of Square Pyramid formula is defined as the area including the base (s) and the curved part. It is total of the area covered by the surface of the object. Total Surface Area and is denoted by SATotal symbol.

How to calculate Total surface area of Square Pyramid using this online calculator? To use this online calculator for Total surface area of Square Pyramid, enter Side A (Sa) and Slant height of Square Pyramid (Slant_heightSquare_Pyramid) and hit the calculate button. Here is how the Total surface area of Square Pyramid calculation can be explained with given input values -> 266.4 = (2*8*12.65)+(8^2).

FAQ

What is Total surface area of Square Pyramid?
Total surface area of Square Pyramid formula is defined as the area including the base (s) and the curved part. It is total of the area covered by the surface of the object and is represented as SATotal = (2*Sa*Slant_heightSquare_Pyramid)+(Sa^2) or total_surface_area = (2*Side A*Slant height of Square Pyramid)+(Side A^2). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Slant height of Square Pyramid is the distance from the vertex to mid point on the edge length of base of Square Pyramid.
How to calculate Total surface area of Square Pyramid?
Total surface area of Square Pyramid formula is defined as the area including the base (s) and the curved part. It is total of the area covered by the surface of the object is calculated using total_surface_area = (2*Side A*Slant height of Square Pyramid)+(Side A^2). To calculate Total surface area of Square Pyramid, you need Side A (Sa) and Slant height of Square Pyramid (Slant_heightSquare_Pyramid). With our tool, you need to enter the respective value for Side A and Slant 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?
In this formula, Total Surface Area uses Side A and Slant height of Square Pyramid. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • total_surface_area = (2*Side A*Slant height of Square Pyramid)+(Side A^2)
  • surface_area = (Side A^2)+(Side A*(sqrt((4*(Height^2))+(Side A^2))))
  • surface_area = (4*((Slant Height of Square Pyramid^2)-(Height^2)))+((2*(sqrt((Slant Height of Square Pyramid^2)-(Height^2))))*(sqrt((4*(Height^2))+(4*((Slant Height of Square Pyramid^2)-(Height^2))))))
  • surface_area = (Side A^2)+(Side A*(sqrt((4*((Slant height of Square Pyramid^2)-((Side A^2)/4)))+(Side A^2))))
  • surface_area = (Side A^2)+(Side A*(sqrt((4*((Edge length of Square Pyramid^2)-((Side A^2)/2)))+(Side A^2))))
  • surface_area = (2*((Edge length of Square Pyramid^2)-(Height^2)))+((sqrt(2*((Edge length of Square Pyramid^2)-(Height^2))))*(sqrt((4*(Height^2))+(2*((Edge length of Square Pyramid^2)-(Height^2))))))
  • lateral_surface_area = 2*Side A*Slant height of Square Pyramid
Where is the Total surface area of Square Pyramid calculator used?
Among many, Total surface area of Square Pyramid calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!