Height of Truncated Pyramid Calculator

✖Volume of Truncated Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Truncated Pyramid.ⓘ Volume of Truncated Pyramid [V]			+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%
✖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%

✖Height of Truncated Pyramid is the perpendicular distance measured from the base to the top of the Truncated Pyramid.ⓘ Height of Truncated Pyramid [h]

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Formula

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Height of Truncated Pyramid

Formula

`"h" = (3*"V")/("A"_{"Base"}+sqrt("A"_{"Top"}*"A"_{"Base"})+"A"_{"Top"})`

Example

`"15m"=(3*"875m³")/("100m²"+sqrt("25m²"*"100m²")+"25m²")`

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Height of Truncated Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h = (3*V)/(A_Base+sqrt(A_Top*A_Base)+A_Top)
This formula uses 1 Functions, 4 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

Height of Truncated Pyramid - (Measured in Meter) - Height of Truncated Pyramid is the perpendicular distance measured from the base to the top of the Truncated Pyramid.
Volume of Truncated Pyramid - (Measured in Cubic Meter) - Volume of Truncated Pyramid is the total quantity of three-dimensional space enclosed by the 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.
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

Volume of Truncated Pyramid: 875 Cubic Meter --> 875 Cubic Meter No Conversion Required
Base Area of Truncated Pyramid: 100 Square Meter --> 100 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

h = (3*V)/(A_Base+sqrt(A_Top*A_Base)+A_Top) --> (3*875)/(100+sqrt(25*100)+25)

Evaluating ... ...

h = 15

STEP 3: Convert Result to Output's Unit

15 Meter --> No Conversion Required

FINAL ANSWER

15 Meter <-- Height of Truncated Pyramid

(Calculation completed in 00.004 seconds)

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Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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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

Height of Truncated Pyramid Formula

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 Height of Truncated Pyramid?

Height of Truncated Pyramid calculator uses 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) to calculate the Height of Truncated Pyramid, The Height of Truncated Pyramid formula is defined as the perpendicular distance measured from the base to the top of the Truncated Pyramid. Height of Truncated Pyramid is denoted by h symbol.

How to calculate Height of Truncated Pyramid using this online calculator? To use this online calculator for Height of Truncated Pyramid, enter Volume of Truncated Pyramid (V), Base Area of Truncated Pyramid (A_Base) & Top Area of Truncated Pyramid (A_Top) and hit the calculate button. Here is how the Height of Truncated Pyramid calculation can be explained with given input values -> 15 = (3*875)/(100+sqrt(25*100)+25).

FAQ

What is Height of Truncated Pyramid?

The Height of Truncated Pyramid formula is defined as the perpendicular distance measured from the base to the top of the Truncated Pyramid and is represented as h = (3*V)/(A_Base+sqrt(A_Top*A_Base)+A_Top) or 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). Volume of Truncated Pyramid is the total quantity of three-dimensional space enclosed by the 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 & 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 Height of Truncated Pyramid?

The Height of Truncated Pyramid formula is defined as the perpendicular distance measured from the base to the top of the Truncated Pyramid is calculated using 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). To calculate Height of Truncated Pyramid, you need Volume of Truncated Pyramid (V), Base Area of Truncated Pyramid (A_Base) & Top Area of Truncated Pyramid (A_Top). With our tool, you need to enter the respective value for Volume of Truncated Pyramid, Base 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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