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

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✖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.ⓘ Side A [a]			+10% -10%
✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]			+10% -10%

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Surface area (A) of Square Pyramid given Edge length of the base (a) and Height (h) [A]

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Credits

Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 1000+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1000+ more calculators!

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)

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

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< 11 Other formulas that calculate the same Output

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area = ((Base A+Base B)/2)*Height Go

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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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