Lateral Surface Area of Square Pyramid given Slant Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid
LSA = 2*le(Base)*hslant
This formula uses 3 Variables
Variables Used
Lateral Surface Area of Square Pyramid - (Measured in Square Meter) - Lateral Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid, excluding the area of the base of the Square Pyramid.
Edge Length of Base of Square Pyramid - (Measured in Meter) - Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.
Slant Height of Square Pyramid - (Measured in Meter) - Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Base of Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
Slant Height of Square Pyramid: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = 2*le(Base)*hslant --> 2*10*16
Evaluating ... ...
LSA = 320
STEP 3: Convert Result to Output's Unit
320 Square Meter --> No Conversion Required
FINAL ANSWER
320 Square Meter <-- Lateral Surface Area of Square Pyramid
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Surface Area of Square Pyramid Calculators

Total Surface Area of Square Pyramid
​ LaTeX ​ Go Total Surface Area of Square Pyramid = Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Height of Square Pyramid^2)+Edge Length of Base of Square Pyramid^2))
Total Surface Area of Square Pyramid given Slant Height
​ LaTeX ​ Go Total Surface Area of Square Pyramid = (2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2
Lateral Surface Area of Square Pyramid given Slant Height
​ LaTeX ​ Go Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid
Base Area of Square Pyramid
​ LaTeX ​ Go Base Area of Square Pyramid = Edge Length of Base of Square Pyramid^2

Important Formulas of Regular Square Pyramid Calculators

Base Angle of Square Pyramid
​ LaTeX ​ Go Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid))
Lateral Edge Length of Square Pyramid
​ LaTeX ​ Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)
Slant Height of Square Pyramid
​ LaTeX ​ Go Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)
Base Area of Square Pyramid
​ LaTeX ​ Go Base Area of Square Pyramid = Edge Length of Base of Square Pyramid^2

Lateral Surface Area of Square Pyramid given Slant Height Formula

​LaTeX ​Go
Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid
LSA = 2*le(Base)*hslant

What is a Square Pyramid?

A Square Pyramid is a pyramid with a square base and four isosceles triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 isosceles triangular faces and a square base. Also, It has 5 vertices and 8 edges.

How to Calculate Lateral Surface Area of Square Pyramid given Slant Height?

Lateral Surface Area of Square Pyramid given Slant Height calculator uses Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid to calculate the Lateral Surface Area of Square Pyramid, Lateral Surface Area of Square Pyramid given Slant Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid, excluding the area of the base of the Square Pyramid and is calculated using the slant height of the Star Pyramid. Lateral Surface Area of Square Pyramid is denoted by LSA symbol.

How to calculate Lateral Surface Area of Square Pyramid given Slant Height using this online calculator? To use this online calculator for Lateral Surface Area of Square Pyramid given Slant Height, enter Edge Length of Base of Square Pyramid (le(Base)) & Slant Height of Square Pyramid (hslant) and hit the calculate button. Here is how the Lateral Surface Area of Square Pyramid given Slant Height calculation can be explained with given input values -> 320 = 2*10*16.

FAQ

What is Lateral Surface Area of Square Pyramid given Slant Height?
Lateral Surface Area of Square Pyramid given Slant Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid, excluding the area of the base of the Square Pyramid and is calculated using the slant height of the Star Pyramid and is represented as LSA = 2*le(Base)*hslant or Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid. Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid & Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.
How to calculate Lateral Surface Area of Square Pyramid given Slant Height?
Lateral Surface Area of Square Pyramid given Slant Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid, excluding the area of the base of the Square Pyramid and is calculated using the slant height of the Star Pyramid is calculated using Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid. To calculate Lateral Surface Area of Square Pyramid given Slant Height, you need Edge Length of Base of Square Pyramid (le(Base)) & Slant Height of Square Pyramid (hslant). With our tool, you need to enter the respective value for Edge Length of Base of Square Pyramid & Slant Height of Square Pyramid 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 Lateral Surface Area of Square Pyramid?
In this formula, Lateral Surface Area of Square Pyramid uses Edge Length of Base of Square Pyramid & Slant Height of Square Pyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)
  • Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)
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