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Volume of Prismatoid Calculator

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✖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%
✖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%
✖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%
✖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}]			+10% -10%

✖Volume of Prismatoid is the amount of three-dimensional space that is enclosed by a Prismatoid.ⓘ Volume of Prismatoid [V]

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Volume of Prismatoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Prismatoid: 12 Meter --> 12 Meter No Conversion Required
Base Face Area of Prismatoid: 20 Square Meter --> 20 Square Meter No Conversion Required
Cross Section Area of Prismatoid: 25 Square Meter --> 25 Square Meter No Conversion Required
Cover Face Area of Prismatoid: 5 Square Meter --> 5 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = h/6*(A_{Base Face}+(4*A_{Cross Section})+A_{Cover Face}) --> 12/6*(20+(4*25)+5)

Evaluating ... ...

V = 250

STEP 3: Convert Result to Output's Unit

250 Cubic Meter --> No Conversion Required

FINAL ANSWER

250 Cubic Meter <-- Volume of Prismatoid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Prismatoid Calculators

Height of Prismatoid

LaTeX 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

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

Base Face Area of Prismatoid

LaTeX 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

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

Volume of Prismatoid Formula

LaTeX Go

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 Volume of Prismatoid?

Volume of Prismatoid calculator uses Volume of Prismatoid = Height of Prismatoid/6*(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid) to calculate the Volume of Prismatoid, Volume of Prismatoid formula is defined as the amount of three-dimensional space that is enclosed by a Prismatoid. Volume of Prismatoid is denoted by V symbol.

How to calculate Volume of Prismatoid using this online calculator? To use this online calculator for Volume of Prismatoid, enter Height of Prismatoid (h), Base Face Area of Prismatoid (A_{Base Face}), Cross Section Area of Prismatoid (A_{Cross Section}) & Cover Face Area of Prismatoid (A_{Cover Face}) and hit the calculate button. Here is how the Volume of Prismatoid calculation can be explained with given input values -> 250 = 12/6*(20+(4*25)+5).

FAQ

What is Volume of Prismatoid?

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

How to calculate Volume of Prismatoid?

Volume of Prismatoid formula is defined as the amount of three-dimensional space that is enclosed by a Prismatoid is calculated using Volume of Prismatoid = Height of Prismatoid/6*(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid). To calculate Volume of Prismatoid, you need Height of Prismatoid (h), Base Face Area of Prismatoid (A_{Base Face}), Cross Section Area of Prismatoid (A_{Cross Section}) & Cover Face Area of Prismatoid (A_{Cover Face}). With our tool, you need to enter the respective value for Height of Prismatoid, Base Face Area of Prismatoid, Cross Section Area of Prismatoid & Cover 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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