Total Surface Area of Truncated Pyramid Calculator

✖Lateral Surface Area of Truncated Pyramid is the total two-dimensional space covered by the lateral faces of the Truncated Pyramid.ⓘ Lateral Surface Area of Truncated Pyramid [LSA]			+10% -10%
✖Top Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the top surface of the Truncated Pyramid.ⓘ Top Area of Truncated Pyramid [A_Top]			+10% -10%
✖Base Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the base surface of the Truncated Pyramid.ⓘ Base Area of Truncated Pyramid [A_Base]			+10% -10%

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

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Formula

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Total Surface Area of Truncated Pyramid

Formula

`"TSA" = "LSA"+"A"_{"Top"}+"A"_{"Base"}`

Example

`"575m²"="450m²"+"25m²"+"100m²"`

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Total Surface Area of Truncated Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Truncated Pyramid = Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid+Base Area of Truncated Pyramid
TSA = LSA+A_Top+A_Base
This formula uses 4 Variables

Variables Used

Total Surface Area of Truncated Pyramid - (Measured in Square Meter) - Total Surface Area of Truncated Pyramid is the total amount of two-dimensional space occupied on all the faces of the Truncated Pyramid.
Lateral Surface Area of Truncated Pyramid - (Measured in Square Meter) - Lateral Surface Area of Truncated Pyramid is the total two-dimensional space covered by the lateral faces of the Truncated Pyramid.
Top Area of Truncated Pyramid - (Measured in Square Meter) - Top Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the top surface of the Truncated Pyramid.
Base Area of Truncated Pyramid - (Measured in Square Meter) - Base Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the base surface of the Truncated Pyramid.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Truncated Pyramid: 450 Square Meter --> 450 Square Meter No Conversion Required
Top Area of Truncated Pyramid: 25 Square Meter --> 25 Square Meter No Conversion Required
Base Area of Truncated Pyramid: 100 Square Meter --> 100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = LSA+A_Top+A_Base --> 450+25+100

Evaluating ... ...

TSA = 575

STEP 3: Convert Result to Output's Unit

575 Square Meter --> No Conversion Required

FINAL ANSWER

575 Square Meter <-- Total Surface Area of Truncated Pyramid

(Calculation completed in 00.004 seconds)

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< 6 Truncated Pyramid Calculators

Lateral Surface Area of Truncated Pyramid

Go Lateral Surface Area of Truncated Pyramid = 2*(sqrt(Base Area of Truncated Pyramid)+sqrt(Top Area of Truncated Pyramid))*sqrt(((sqrt(Base Area of Truncated Pyramid)-sqrt(Top Area of Truncated Pyramid))/2)^2+Height of Truncated Pyramid^2)

Volume of Truncated Pyramid

Go Volume of Truncated Pyramid = 1/3*Height of Truncated Pyramid*(Base Area of Truncated Pyramid+sqrt(Top Area of Truncated Pyramid*Base Area of Truncated Pyramid)+Top Area of Truncated Pyramid)

Height of Truncated Pyramid

Go Height of Truncated Pyramid = (3*Volume of Truncated Pyramid)/(Base Area of Truncated Pyramid+sqrt(Top Area of Truncated Pyramid*Base Area of Truncated Pyramid)+Top Area of Truncated Pyramid)

Base Area of Truncated Pyramid

Go Base Area of Truncated Pyramid = Total Surface Area of Truncated Pyramid-(Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid)

Top Area of Truncated Pyramid

Go Top Area of Truncated Pyramid = Total Surface Area of Truncated Pyramid-(Base Area of Truncated Pyramid+Lateral Surface Area of Truncated Pyramid)

Total Surface Area of Truncated Pyramid

Go Total Surface Area of Truncated Pyramid = Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid+Base Area of Truncated Pyramid

Total Surface Area of Truncated Pyramid Formula

Total Surface Area of Truncated Pyramid = Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid+Base Area of Truncated Pyramid
TSA = LSA+A_Top+A_Base

What is a Truncated Pyramid?

A Truncated Pyramid is obtained when a regular pyramid is sliced along its cross-section, creating a smaller regular pyramid. An N-sided polygon as the base of the pyramid, It has (N+2) faces, which include N isosceles triangular faces and 2 N-sided polygon faces as the base and the top surface of the Pyramid. Also, It has 2N vertices and 3N edges. A Pyramid is a polyhedron, a three-dimensional solid figure with a polygonal base and a top point called an apex.

How to Calculate Total Surface Area of Truncated Pyramid?

Total Surface Area of Truncated Pyramid calculator uses Total Surface Area of Truncated Pyramid = Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid+Base Area of Truncated Pyramid to calculate the Total Surface Area of Truncated Pyramid, The Total Surface Area of Truncated Pyramid formula is defined as the total amount of two-dimensional space occupied on all the faces of the Truncated Pyramid. Total Surface Area of Truncated Pyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Truncated Pyramid using this online calculator? To use this online calculator for Total Surface Area of Truncated Pyramid, enter Lateral Surface Area of Truncated Pyramid (LSA), Top Area of Truncated Pyramid (A_Top) & Base Area of Truncated Pyramid (A_Base) and hit the calculate button. Here is how the Total Surface Area of Truncated Pyramid calculation can be explained with given input values -> 575 = 450+25+100.

FAQ

What is Total Surface Area of Truncated Pyramid?

The Total Surface Area of Truncated Pyramid formula is defined as the total amount of two-dimensional space occupied on all the faces of the Truncated Pyramid and is represented as TSA = LSA+A_Top+A_Base or Total Surface Area of Truncated Pyramid = Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid+Base Area of Truncated Pyramid. Lateral Surface Area of Truncated Pyramid is the total two-dimensional space covered by the lateral faces of the Truncated Pyramid, Top Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the top surface of the Truncated Pyramid & Base Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the base surface of the Truncated Pyramid.

How to calculate Total Surface Area of Truncated Pyramid?

The Total Surface Area of Truncated Pyramid formula is defined as the total amount of two-dimensional space occupied on all the faces of the Truncated Pyramid is calculated using Total Surface Area of Truncated Pyramid = Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid+Base Area of Truncated Pyramid. To calculate Total Surface Area of Truncated Pyramid, you need Lateral Surface Area of Truncated Pyramid (LSA), Top Area of Truncated Pyramid (A_Top) & Base Area of Truncated Pyramid (A_Base). With our tool, you need to enter the respective value for Lateral Surface Area of Truncated Pyramid, Top Area of Truncated Pyramid & Base Area of Truncated Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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