Total Surface Area of Right Square Pyramid Calculator

✖Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid.ⓘ Edge Length of Base of Right Square Pyramid [l_e(Base)]			+10% -10%
✖Height of Right Square Pyramid is the length of the perpendicular from the apex to the base of the Right Square Pyramid.ⓘ Height of Right Square Pyramid [h]			+10% -10%

✖Total Surface Area of Right Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Right Square Pyramid.ⓘ Total Surface Area of Right Square Pyramid [TSA]

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Formula

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Total Surface Area of Right Square Pyramid

Formula

`"TSA" = "l"_{"e(Base)"}^2+("l"_{"e(Base)"}*sqrt("l"_{"e(Base)"}^2+(4*"h"^2)))`

Example

`"416.2278m²"=("10m")^2+("10m"*sqrt(("10m")^2+(4*("15m")^2)))`

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Total Surface Area of Right Square Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2+(Edge Length of Base of Right Square Pyramid*sqrt(Edge Length of Base of Right Square Pyramid^2+(4*Height of Right Square Pyramid^2)))
TSA = l_e(Base)^2+(l_e(Base)*sqrt(l_e(Base)^2+(4*h^2)))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Surface Area of Right Square Pyramid - (Measured in Square Meter) - Total Surface Area of Right Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Right Square Pyramid.
Edge Length of Base of Right Square Pyramid - (Measured in Meter) - Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid.
Height of Right Square Pyramid - (Measured in Meter) - Height of Right Square Pyramid is the length of the perpendicular from the apex to the base of the Right Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Right Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
Height of Right Square Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = l_e(Base)^2+(l_e(Base)*sqrt(l_e(Base)^2+(4*h^2))) --> 10^2+(10*sqrt(10^2+(4*15^2)))

Evaluating ... ...

TSA = 416.227766016838

STEP 3: Convert Result to Output's Unit

416.227766016838 Square Meter --> No Conversion Required

FINAL ANSWER

416.227766016838 ≈ 416.2278 Square Meter <-- Total Surface Area of Right Square Pyramid

(Calculation completed in 00.004 seconds)

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Created by Sakshi Priya

Indian Institute of Technology (IIT), Roorkee

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< 5 Surface Area of Right Square Pyramid Calculators

Total Surface Area of Right Square Pyramid

Go Total Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2+(Edge Length of Base of Right Square Pyramid*sqrt(Edge Length of Base of Right Square Pyramid^2+(4*Height of Right Square Pyramid^2)))

Lateral Surface Area of Right Square Pyramid

Go Lateral Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid*sqrt(Edge Length of Base of Right Square Pyramid^2+(4*Height of Right Square Pyramid^2))

Total Surface Area of Right Square Pyramid given Slant Height

Go Total Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2+(2*Edge Length of Base of Right Square Pyramid*Slant Height of Right Square Pyramid)

Lateral Surface Area of Right Square Pyramid given Slant Height

Go Lateral Surface Area of Right Square Pyramid = 2*Edge Length of Base of Right Square Pyramid*Slant Height of Right Square Pyramid

Base Area of Right Square Pyramid

Go Base Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2

Total Surface Area of Right Square Pyramid Formula

What is a Right Square Pyramid?

A Right Square Pyramid is a square pyramid whose apex is aligned above its base center. So, When an imaginary line drawn from the apex intersects the base at its center at a right angle. A square pyramid is usually the Right 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 Total Surface Area of Right Square Pyramid?

Total Surface Area of Right Square Pyramid calculator uses Total Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2+(Edge Length of Base of Right Square Pyramid*sqrt(Edge Length of Base of Right Square Pyramid^2+(4*Height of Right Square Pyramid^2))) to calculate the Total Surface Area of Right Square Pyramid, Total Surface Area of Right Square Pyramid formula is defined as the total amount of two-dimensional space occupied on all the faces of the Right Square Pyramid. Total Surface Area of Right Square Pyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Right Square Pyramid using this online calculator? To use this online calculator for Total Surface Area of Right Square Pyramid, enter Edge Length of Base of Right Square Pyramid (l_e(Base)) & Height of Right Square Pyramid (h) and hit the calculate button. Here is how the Total Surface Area of Right Square Pyramid calculation can be explained with given input values -> 416.2278 = 10^2+(10*sqrt(10^2+(4*15^2))).

FAQ

What is Total Surface Area of Right Square Pyramid?

Total Surface Area of Right Square Pyramid formula is defined as the total amount of two-dimensional space occupied on all the faces of the Right Square Pyramid and is represented as TSA = l_e(Base)^2+(l_e(Base)*sqrt(l_e(Base)^2+(4*h^2))) or Total Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2+(Edge Length of Base of Right Square Pyramid*sqrt(Edge Length of Base of Right Square Pyramid^2+(4*Height of Right Square Pyramid^2))). Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid & Height of Right Square Pyramid is the length of the perpendicular from the apex to the base of the Right Square Pyramid.

How to calculate Total Surface Area of Right Square Pyramid?

Total Surface Area of Right Square Pyramid formula is defined as the total amount of two-dimensional space occupied on all the faces of the Right Square Pyramid is calculated using Total Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2+(Edge Length of Base of Right Square Pyramid*sqrt(Edge Length of Base of Right Square Pyramid^2+(4*Height of Right Square Pyramid^2))). To calculate Total Surface Area of Right Square Pyramid, you need Edge Length of Base of Right Square Pyramid (l_e(Base)) & Height of Right Square Pyramid (h). With our tool, you need to enter the respective value for Edge Length of Base of Right Square Pyramid & Height of Right 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 Total Surface Area of Right Square Pyramid?

In this formula, Total Surface Area of Right Square Pyramid uses Edge Length of Base of Right Square Pyramid & Height of Right Square Pyramid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Right Square Pyramid = Edge Length of Base of Right Square Pyramid^2+(2*Edge Length of Base of Right Square Pyramid*Slant Height of Right Square Pyramid)

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