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

Main Category	Math ↺
Math	Geometry ↺
Geometry	3D Geometry ↺
3D Geometry	Pyramid ↺
Pyramid	Square Pyramid ↺

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

✖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.ⓘ Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s) [a]

⎘ Copy

👎

Formula

Reset

👍

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!

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

STEP 0: Pre-Calculation Summary

Formula Used

side_a = 2*sqrt((Slant Height^2)-(Height^2))
a = 2*sqrt((s^2)-(h^2))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

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)
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

Slant Height: 5 Meter --> 5 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = 2*sqrt((s^2)-(h^2)) --> 2*sqrt((5^2)-(12^2))

Evaluating ... ...

a = NaN

STEP 3: Convert Result to Output's Unit

NaN Meter --> No Conversion Required

FINAL ANSWER

NaN Meter <-- Side A

(Calculation completed in 00.016 seconds)

You are here

Home »
Math »
Geometry »
3D Geometry »
Pyramid »
Square Pyramid »
Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s)

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

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

Total Surface Area of a Cylinder

total_surface_area = 2*pi*Radius*(Height+Radius) Go

Lateral Surface Area of a Cylinder

lateral_surface_area = 2*pi*Radius*Height 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

< 11 Other formulas that calculate the same Output

Side a of a triangle

side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go

Side of Rhombus when area and angle are given

side_a = sqrt(Area)/sqrt(sin(Angle Between Sides)) Go

Side a of a triangle given side b, angles A and B

side_a = (Side B*sin(Angle A))/sin(Angle B) Go

Side of a parallelogram when diagonal and the other side is given

side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2 Go

Side of a Kite when other side and area are given

side_a = (Area*cosec(Angle Between Sides))/Side B Go

Side of a Rhombus when Diagonals are given

side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2 Go

Side 'a' of a parallelogram if angle related to the side and height is known

side_a = Height of column2/sin(Angle A) Go

Side of the parallelogram when the height and sine of an angle are given

side_a = Height/sin(Theta) Go

Side of a Kite when other side and perimeter are given

side_a = (Perimeter/2)-Side B Go

Side of the parallelogram when the area and height of the parallelogram are given

side_a = Area/Height Go

Side of Rhombus when area and height are given

side_a = Area/Height Go

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

side_a = 2*sqrt((Slant Height^2)-(Height^2))
a = 2*sqrt((s^2)-(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 Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s)?

Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s) calculator uses side_a = 2*sqrt((Slant Height^2)-(Height^2)) to calculate the Side A, Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s)formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid. Side A and is denoted by a symbol.

How to calculate Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s) using this online calculator? To use this online calculator for Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s), enter Slant Height (s) and Height (h) and hit the calculate button. Here is how the Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s) calculation can be explained with given input values -> NaN = 2*sqrt((5^2)-(12^2)).

FAQ

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

Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s)formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid and is represented as a = 2*sqrt((s^2)-(h^2)) or side_a = 2*sqrt((Slant Height^2)-(Height^2)). Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base and Height is the distance between the lowest and highest points of a person standing upright.

How to calculate Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s)?

Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s)formula is defined as a straight line connecting two adjacent vertices of base of Square Pyramid is calculated using side_a = 2*sqrt((Slant Height^2)-(Height^2)). To calculate Edge length of the base (a) of Square Pyramid given Height (h) and Slant height (s), you need Slant Height (s) and Height (h). With our tool, you need to enter the respective value for Slant Height 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 Side A?

In this formula, Side A uses Slant Height and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -

side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A))
side_a = (Area*cosec(Angle Between Sides))/Side B
side_a = (Perimeter/2)-Side B
side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2
side_a = Area/Height
side_a = sqrt(Area)/sqrt(sin(Angle Between Sides))
side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2
side_a = Height/sin(Theta)
side_a = Area/Height
side_a = (Side B*sin(Angle A))/sin(Angle B)
side_a = Height of column2/sin(Angle A)

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!