Cover Face Area of Prismatoid Calculator

✖Volume of Prismatoid is the amount of three-dimensional space that is enclosed by a Prismatoid.ⓘ Volume of Prismatoid [V]			+10% -10%
✖Height of Prismatoid is defined as the vertical distance between the base and cover parallel polygonal faces of the Prismatoid.ⓘ Height of Prismatoid [h]			+10% -10%
✖Cross Section Area of Prismatoid is the quantity of two dimensional space enclosed on the surface of cross section parallel to the base and cover faces of the Prismatoid.ⓘ Cross Section Area of Prismatoid [A_{Cross Section}]			+10% -10%
✖Base Face Area of Prismatoid is the quantity of two dimensional space enclosed on the bottom face out of the two parallel polygonal faces of Prismatoid.ⓘ Base Face Area of Prismatoid [A_{Base Face}]			+10% -10%

✖Cover Face Area of Prismatoid is the quantity of two dimensional space enclosed on the top face out of the two parallel polygonal faces of Prismatoid.ⓘ Cover Face Area of Prismatoid [A_{Cover Face}]

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Formula

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Cover Face Area of Prismatoid

Formula

`"A"_{"Cover Face"} = (6*"V")/"h"-(4*"A"_{"Cross Section"})+"A"_{"Base Face"}`

Example

`"45m²"=(6*"250m³")/"12m"-(4*"25m²")+"20m²"`

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Cover Face Area of Prismatoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cover Face Area of Prismatoid = (6*Volume of Prismatoid)/Height of Prismatoid-(4*Cross Section Area of Prismatoid)+Base Face Area of Prismatoid
A_{Cover Face} = (6*V)/h-(4*A_{Cross Section})+A_{Base Face}
This formula uses 5 Variables

Variables Used

Cover Face Area of Prismatoid - (Measured in Square Meter) - Cover Face Area of Prismatoid is the quantity of two dimensional space enclosed on the top face out of the two parallel polygonal faces of Prismatoid.
Volume of Prismatoid - (Measured in Cubic Meter) - Volume of Prismatoid is the amount of three-dimensional space that is enclosed by a Prismatoid.
Height of Prismatoid - (Measured in Meter) - Height of Prismatoid is defined as the vertical distance between the base and cover parallel polygonal faces of the Prismatoid.
Cross Section Area of Prismatoid - (Measured in Square Meter) - Cross Section Area of Prismatoid is the quantity of two dimensional space enclosed on the surface of cross section parallel to the base and cover faces of the Prismatoid.
Base Face Area of Prismatoid - (Measured in Square Meter) - Base Face Area of Prismatoid is the quantity of two dimensional space enclosed on the bottom face out of the two parallel polygonal faces of Prismatoid.

STEP 1: Convert Input(s) to Base Unit

Volume of Prismatoid: 250 Cubic Meter --> 250 Cubic Meter No Conversion Required
Height of Prismatoid: 12 Meter --> 12 Meter No Conversion Required
Cross Section Area of Prismatoid: 25 Square Meter --> 25 Square Meter No Conversion Required
Base Face Area of Prismatoid: 20 Square Meter --> 20 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_{Cover Face} = (6*V)/h-(4*A_{Cross Section})+A_{Base Face} --> (6*250)/12-(4*25)+20

Evaluating ... ...

A_{Cover Face} = 45

STEP 3: Convert Result to Output's Unit

45 Square Meter --> No Conversion Required

FINAL ANSWER

45 Square Meter <-- Cover Face Area of Prismatoid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 5 Prismatoid Calculators

Height of Prismatoid

Go Height of Prismatoid = (6*Volume of Prismatoid)/(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid)

Cross Section Area of Prismatoid

Go Cross Section Area of Prismatoid = ((6*Volume of Prismatoid)/Height of Prismatoid-Base Face Area of Prismatoid+Cover Face Area of Prismatoid)/4

Cover Face Area of Prismatoid

Go Cover Face Area of Prismatoid = (6*Volume of Prismatoid)/Height of Prismatoid-(4*Cross Section Area of Prismatoid)+Base Face Area of Prismatoid

Base Face Area of Prismatoid

Go Base Face Area of Prismatoid = (6*Volume of Prismatoid)/Height of Prismatoid-(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid

Volume of Prismatoid

Go Volume of Prismatoid = Height of Prismatoid/6*(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid)

Cover Face Area of Prismatoid Formula

What is Prismatoid?

In geometry, a prismatoid is a polyhedron whose vertices all lie in two parallel planes. Its lateral faces can be trapezoids or triangles. If both planes have the same number of vertices, and the lateral faces are either parallelograms or trapezoids, it is called a prismoid.

How to Calculate Cover Face Area of Prismatoid?

Cover Face Area of Prismatoid calculator uses Cover Face Area of Prismatoid = (6*Volume of Prismatoid)/Height of Prismatoid-(4*Cross Section Area of Prismatoid)+Base Face Area of Prismatoid to calculate the Cover Face Area of Prismatoid, Cover Face Area of Prismatoid formula is defined as the quantity of two dimensional space enclosed on the top face out of the two parallel polygonal faces of Prismatoid. Cover Face Area of Prismatoid is denoted by A_{Cover Face} symbol.

How to calculate Cover Face Area of Prismatoid using this online calculator? To use this online calculator for Cover Face Area of Prismatoid, enter Volume of Prismatoid (V), Height of Prismatoid (h), Cross Section Area of Prismatoid (A_{Cross Section}) & Base Face Area of Prismatoid (A_{Base Face}) and hit the calculate button. Here is how the Cover Face Area of Prismatoid calculation can be explained with given input values -> 45 = (6*250)/12-(4*25)+20.

FAQ

What is Cover Face Area of Prismatoid?

Cover Face Area of Prismatoid formula is defined as the quantity of two dimensional space enclosed on the top face out of the two parallel polygonal faces of Prismatoid and is represented as A_{Cover Face} = (6*V)/h-(4*A_{Cross Section})+A_{Base Face} or Cover Face Area of Prismatoid = (6*Volume of Prismatoid)/Height of Prismatoid-(4*Cross Section Area of Prismatoid)+Base Face Area of Prismatoid. Volume of Prismatoid is the amount of three-dimensional space that is enclosed by a Prismatoid, Height of Prismatoid is defined as the vertical distance between the base and cover parallel polygonal faces of the Prismatoid, Cross Section Area of Prismatoid is the quantity of two dimensional space enclosed on the surface of cross section parallel to the base and cover faces of the Prismatoid & Base Face Area of Prismatoid is the quantity of two dimensional space enclosed on the bottom face out of the two parallel polygonal faces of Prismatoid.

How to calculate Cover Face Area of Prismatoid?

Cover Face Area of Prismatoid formula is defined as the quantity of two dimensional space enclosed on the top face out of the two parallel polygonal faces of Prismatoid is calculated using Cover Face Area of Prismatoid = (6*Volume of Prismatoid)/Height of Prismatoid-(4*Cross Section Area of Prismatoid)+Base Face Area of Prismatoid. To calculate Cover Face Area of Prismatoid, you need Volume of Prismatoid (V), Height of Prismatoid (h), Cross Section Area of Prismatoid (A_{Cross Section}) & Base Face Area of Prismatoid (A_{Base Face}). With our tool, you need to enter the respective value for Volume of Prismatoid, Height of Prismatoid, Cross Section Area of Prismatoid & Base Face Area of Prismatoid 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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