Base Area of Truncated Pyramid Calculator

✖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]			+10% -10%
✖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]

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Formula

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Base Area of Truncated Pyramid

Formula

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

Example

`"100m²"="575m²"-("450m²"+"25m²")`

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Base Area of Truncated Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Truncated Pyramid: 575 Square Meter --> 575 Square Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Base = TSA-(LSA+A_Top) --> 575-(450+25)

Evaluating ... ...

A_Base = 100

STEP 3: Convert Result to Output's Unit

100 Square Meter --> No Conversion Required

FINAL ANSWER

100 Square Meter <-- Base Area of Truncated Pyramid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Pyramid » Truncated Pyramid » Base Area of Truncated Pyramid

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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

Base Area of Truncated Pyramid Formula

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

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 Base Area of Truncated Pyramid?

Base Area of Truncated Pyramid calculator uses Base Area of Truncated Pyramid = Total Surface Area of Truncated Pyramid-(Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid) to calculate the Base Area of Truncated Pyramid, The Base Area of Truncated Pyramid formula is defined as the total amount of two-dimensional space enclosed on the base surface of the Truncated Pyramid. Base Area of Truncated Pyramid is denoted by A_Base symbol.

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

FAQ

What is Base Area of Truncated Pyramid?

The Base Area of Truncated Pyramid formula is defined as the total amount of two-dimensional space enclosed on the base surface of the Truncated Pyramid and is represented as A_Base = TSA-(LSA+A_Top) or Base Area of Truncated Pyramid = Total Surface Area of Truncated Pyramid-(Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid). 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 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.

How to calculate Base Area of Truncated Pyramid?

The Base Area of Truncated Pyramid formula is defined as the total amount of two-dimensional space enclosed on the base surface of the Truncated Pyramid is calculated using Base Area of Truncated Pyramid = Total Surface Area of Truncated Pyramid-(Lateral Surface Area of Truncated Pyramid+Top Area of Truncated Pyramid). To calculate Base Area of Truncated Pyramid, you need Total Surface Area of Truncated Pyramid (TSA), Lateral Surface Area of Truncated Pyramid (LSA) & Top Area of Truncated Pyramid (A_Top). With our tool, you need to enter the respective value for Total Surface Area of Truncated Pyramid, Lateral Surface Area of Truncated Pyramid & Top 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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