Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given 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%
✖Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base.ⓘ Slant Height [s]			+10% -10%

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given [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 when Height (h) is missing and Slant height (s) is given Solution

STEP 0: Pre-Calculation Summary

Formula Used

area = (Side A^2)+(Side A*(sqrt((4*((Slant Height^2)-((Side A^2)/4)))+(Side A^2))))
A = (a^2)+(a*(sqrt((4*((s^2)-((a^2)/4)))+(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)
Slant Height - Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Side A: 8 Meter --> 8 Meter No Conversion Required
Slant Height: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (a^2)+(a*(sqrt((4*((s^2)-((a^2)/4)))+(a^2)))) --> (8^2)+(8*(sqrt((4*((5^2)-((8^2)/4)))+(8^2))))

Evaluating ... ...

A = 144

STEP 3: Convert Result to Output's Unit

144 Square Meter --> No Conversion Required

FINAL ANSWER

144 Square Meter <-- Area

(Calculation completed in 00.000 seconds)

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Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given

< 11 Other formulas that you can solve using the same Inputs

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< 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

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area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go

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area = Base*Height Go

Area of a Square when diagonal is given

area = 1/2*(Diagonal)^2 Go

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area = (Side A)^2 Go

Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given Formula

area = (Side A^2)+(Side A*(sqrt((4*((Slant Height^2)-((Side A^2)/4)))+(Side A^2))))
A = (a^2)+(a*(sqrt((4*((s^2)-((a^2)/4)))+(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 when Height (h) is missing and Slant height (s) is given?

Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given calculator uses area = (Side A^2)+(Side A*(sqrt((4*((Slant Height^2)-((Side A^2)/4)))+(Side A^2)))) to calculate the Area, The Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given 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 when Height (h) is missing and Slant height (s) is given using this online calculator? To use this online calculator for Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given, enter Side A (a) and Slant Height (s) and hit the calculate button. Here is how the Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given calculation can be explained with given input values -> 144 = (8^2)+(8*(sqrt((4*((5^2)-((8^2)/4)))+(8^2)))).

FAQ

What is Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given?

The Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given formula is defined as amount of space occupied by Square Pyramid in given plane and is represented as A = (a^2)+(a*(sqrt((4*((s^2)-((a^2)/4)))+(a^2)))) or area = (Side A^2)+(Side A*(sqrt((4*((Slant Height^2)-((Side A^2)/4)))+(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 is the height of a cone from the vertex to the periphery (rather than the center) of the base.

How to calculate Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given?

The Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given 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*((Slant Height^2)-((Side A^2)/4)))+(Side A^2)))). To calculate Surface area (A) of Square Pyramid when Height (h) is missing and Slant height (s) is given, you need Side A (a) and Slant Height (s). With our tool, you need to enter the respective value for Side A and Slant 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 Slant 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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