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Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (Side A^2)+(Side A*(sqrt((4*(Height^2))+(Side A^2))))
A = (a^2)+(a*(sqrt((4*(h^2))+(a^2))))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
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)
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 A: 8 Meter --> 8 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (a^2)+(a*(sqrt((4*(h^2))+(a^2)))) --> (8^2)+(8*(sqrt((4*(12^2))+(8^2))))
Evaluating ... ...
A = 266.385770250776
STEP 3: Convert Result to Output's Unit
266.385770250776 Square Meter --> No Conversion Required
FINAL ANSWER
266.385770250776 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) 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
Volume of a Pyramid
volume = (1/3)*Side^2*Height 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
Area of a Square when side is given
area = (Side A)^2 Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) Formula

area = (Side A^2)+(Side A*(sqrt((4*(Height^2))+(Side A^2))))
A = (a^2)+(a*(sqrt((4*(h^2))+(a^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, and has C₄ᵥ symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J₁

How to Calculate Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h)?

Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) calculator uses area = (Side A^2)+(Side A*(sqrt((4*(Height^2))+(Side A^2)))) to calculate the Area, The Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) formula is defined as amount of space occupied by Square Pyramid in given plane. Area and is denoted by A symbol.

How to calculate Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) using this online calculator? To use this online calculator for Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h), enter Side A (a) and Height (h) and hit the calculate button. Here is how the Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) calculation can be explained with given input values -> 266.3858 = (8^2)+(8*(sqrt((4*(12^2))+(8^2)))).

FAQ

What is Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h)?
The Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) formula is defined as amount of space occupied by Square Pyramid in given plane and is represented as A = (a^2)+(a*(sqrt((4*(h^2))+(a^2)))) or area = (Side A^2)+(Side A*(sqrt((4*(Height^2))+(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 Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h)?
The Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) formula is defined as amount of space occupied by Square Pyramid in given plane is calculated using area = (Side A^2)+(Side A*(sqrt((4*(Height^2))+(Side A^2)))). To calculate Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h), you need Side A (a) and Height (h). With our tool, you need to enter the respective value for Side A 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 Area?
In this formula, Area uses Side A and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
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