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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)

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
Radius of Inscribed Circle
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)/Semiperimeter Of Triangle) Go
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)) Go
side b of a triangle
side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) Go
Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Radius of circumscribed circle
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B 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 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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