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Total Surface Area of a Pyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2))
TSA = s*(s+sqrt(s^2+4*(h)^2))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side - The side 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)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = s*(s+sqrt(s^2+4*(h)^2)) --> 9*(9+sqrt(9^2+4*(12)^2))
Evaluating ... ...
TSA = 311.688101123573
STEP 3: Convert Result to Output's Unit
311.688101123573 Square Meter --> No Conversion Required
FINAL ANSWER
311.688101123573 Square Meter <-- Total Surface Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Volume of a Cube
volume = Side^3 Go

11 Other formulas that calculate the same Output

Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Total Surface Area of Largest right circular cylinder that can be inscribed within a cone
total_surface_area = (4*pi*Radius of cone)*(2*Radius of cone+Height of Cone)/9 Go
Total surface area of Hexagonal Pyramid
total_surface_area = (3*Side*Base)+((3*sqrt(3))/2)*(Side^2) Go
Total Surface area of hexagonal prism
total_surface_area = 6*Base*Height+((3*sqrt(3))*Base^2) Go
Total Surface area of triangular prism
total_surface_area = 3*Side*Height+(sqrt(3)*Side^2/4) Go
Total Surface area of pentagonal prism
total_surface_area = 5*Base*Height+(2*sqrt(3))*Base^2 Go
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Total surface area of a square pyramid
total_surface_area = (2*Base*Side)+(Side^2) Go
Total Surface Area of largest right circular cylinder within a cube
total_surface_area = 3*pi*(Side^2)/2 Go
Total Surface Area of a Hemisphere
total_surface_area = 3*pi*Radius^2 Go
Total Surface Area of Largest Cube that can be inscribed within a right circular cylinder when height of cylinder is given
total_surface_area = 6*(Height^2) Go

Total Surface Area of a Pyramid Formula

total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2))
TSA = s*(s+sqrt(s^2+4*(h)^2))

How to Calculate Total Surface Area of a Pyramid?

Total Surface Area of a Pyramid calculator uses total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2)) to calculate the Total Surface Area, The total surface area of a pyramid can be defined as the surface area of all the surfaces of a pyramid. Total Surface Area and is denoted by TSA symbol.

How to calculate Total Surface Area of a Pyramid using this online calculator? To use this online calculator for Total Surface Area of a Pyramid, enter Side (s) and Height (h) and hit the calculate button. Here is how the Total Surface Area of a Pyramid calculation can be explained with given input values -> 311.6881 = 9*(9+sqrt(9^2+4*(12)^2)).

FAQ

What is Total Surface Area of a Pyramid?
The total surface area of a pyramid can be defined as the surface area of all the surfaces of a pyramid and is represented as TSA = s*(s+sqrt(s^2+4*(h)^2)) or total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2)). The side 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 Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Total Surface Area of a Pyramid?
The total surface area of a pyramid can be defined as the surface area of all the surfaces of a pyramid is calculated using total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2)). To calculate Total Surface Area of a Pyramid, you need Side (s) and Height (h). With our tool, you need to enter the respective value for Side and Height 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 and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2))
  • total_surface_area = 2*pi*Radius*(Height+Radius)
  • total_surface_area = 3*pi*Radius^2
  • total_surface_area = (4*pi*Radius of cone)*(2*Radius of cone+Height of Cone)/9
  • total_surface_area = 3*pi*(Side^2)/2
  • total_surface_area = 6*(Height^2)
  • total_surface_area = (3*Side*Base)+((3*sqrt(3))/2)*(Side^2)
  • total_surface_area = (2*Base*Side)+(Side^2)
  • total_surface_area = 3*Side*Height+(sqrt(3)*Side^2/4)
  • total_surface_area = 5*Base*Height+(2*sqrt(3))*Base^2
  • total_surface_area = 6*Base*Height+((3*sqrt(3))*Base^2)
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