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Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) Solution

STEP 0: Pre-Calculation Summary
Formula Used
slant_height = sqrt(((Side A^2)/4)+(Height^2))
s = sqrt(((a^2)/4)+(h^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
s = sqrt(((a^2)/4)+(h^2)) --> sqrt(((8^2)/4)+(12^2))
Evaluating ... ...
s = 12.6491106406735
STEP 3: Convert Result to Output's Unit
12.6491106406735 Meter --> No Conversion Required
FINAL ANSWER
12.6491106406735 Meter <-- Slant Height
(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

Slant Height of Considered Point when Unit Pressure is Given
slant_height = ((3*Superimposed load*(Distance between pipe and fill)^3)/(2*pi*Unit pressure))^(1/5) Go
First slant line of cut cuboid given second edge and edge rest
slant_height = sqrt((First missing part^2)+((Side B-Second edge rest)^2)) Go
First slant line of cut cuboid given first edge and edge rest
slant_height = sqrt(((Side A-First edge rest)^2)+(Second missing part^2)) Go
Slant height (s) of Square Pyramid given given Edge length (e) and Height (h)
slant_height = sqrt((Height^2)+(((Side^2-Height^2)*2)/4)) Go
Slant height (s) of Square Pyramid given given Edge length (e) and Edge length of the base (a)
slant_height = sqrt((Height^2)+(Side^2-(Side A^2/2))) Go
Slant height of a Right square pyramid when volume and side length are given
slant_height = sqrt((Side^2/4)+((3*Volume)/Side^2)^2) Go
Slant height of Frustum of right circular cone
slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2) Go
Slant Height of Frustum
slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2) Go
Slant height of a Right square pyramid
slant_height = sqrt(Height^2+Length^2/4) Go
Slant Height of cone
slant_height = sqrt(Radius 1^2+Height^2) Go
Slant Height of Right circular cone
slant_height = sqrt(Height^2+Radius^2) Go

Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) Formula

slant_height = sqrt(((Side A^2)/4)+(Height^2))
s = sqrt(((a^2)/4)+(h^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 Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h)?

Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) calculator uses slant_height = sqrt(((Side A^2)/4)+(Height^2)) to calculate the Slant Height, Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) formula is defined as the height of a Square Pyramid from the vertex to the periphery (rather than the center) of the base. Slant Height and is denoted by s symbol.

How to calculate Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) using this online calculator? To use this online calculator for Slant height (s) 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 Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) calculation can be explained with given input values -> 12.64911 = sqrt(((8^2)/4)+(12^2)).

FAQ

What is Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h)?
Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) formula is defined as the height of a Square Pyramid from the vertex to the periphery (rather than the center) of the base and is represented as s = sqrt(((a^2)/4)+(h^2)) or slant_height = sqrt(((Side A^2)/4)+(Height^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 Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h)?
Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h) formula is defined as the height of a Square Pyramid from the vertex to the periphery (rather than the center) of the base is calculated using slant_height = sqrt(((Side A^2)/4)+(Height^2)). To calculate Slant height (s) 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 Slant Height?
In this formula, Slant Height uses Side A and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • slant_height = sqrt(Radius 1^2+Height^2)
  • slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2)
  • slant_height = sqrt(Height^2+Length^2/4)
  • slant_height = sqrt((Side^2/4)+((3*Volume)/Side^2)^2)
  • slant_height = sqrt(Height^2+Radius^2)
  • slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2)
  • slant_height = sqrt(((Side A-First edge rest)^2)+(Second missing part^2))
  • slant_height = sqrt((First missing part^2)+((Side B-Second edge rest)^2))
  • slant_height = ((3*Superimposed load*(Distance between pipe and fill)^3)/(2*pi*Unit pressure))^(1/5)
  • slant_height = sqrt((Height^2)+(((Side^2-Height^2)*2)/4))
  • slant_height = sqrt((Height^2)+(Side^2-(Side A^2/2)))
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