Volume of Truncated Cuboid Calculator

✖The Length of Truncated Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Truncated Cuboid.ⓘ Length of Truncated Cuboid [l]			+10% -10%
✖The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.ⓘ Height of Truncated Cuboid [h]			+10% -10%
✖The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid.ⓘ Width of Truncated Cuboid [w]			+10% -10%
✖The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.ⓘ Shortened Height of Truncated Cuboid [h_Short]			+10% -10%
✖The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.ⓘ Shortened Width of Truncated Cuboid [w_Short]			+10% -10%

✖The Volume of Truncated Cuboid is the total quantity of three dimensional space enclosed by the surface of a Truncated Cuboid.ⓘ Volume of Truncated Cuboid [V]

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Formula

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Volume of Truncated Cuboid

Formula

`"V" = ("l"*"h"*"w")-(("h"-"h"_{"Short"})*("w"-"w"_{"Short"})*"l"/2)`

Example

`"3180m³"=("20m"*"15m"*"12m")-(("15m"-"8m")*("12m"-"6m")*"20m"/2)`

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Volume of Truncated Cuboid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2)
V = (l*h*w)-((h-h_Short)*(w-w_Short)*l/2)
This formula uses 6 Variables

Variables Used

Volume of Truncated Cuboid - (Measured in Cubic Meter) - The Volume of Truncated Cuboid is the total quantity of three dimensional space enclosed by the surface of a Truncated Cuboid.
Length of Truncated Cuboid - (Measured in Meter) - The Length of Truncated Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Truncated Cuboid.
Height of Truncated Cuboid - (Measured in Meter) - The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.
Width of Truncated Cuboid - (Measured in Meter) - The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid.
Shortened Height of Truncated Cuboid - (Measured in Meter) - The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.
Shortened Width of Truncated Cuboid - (Measured in Meter) - The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

STEP 1: Convert Input(s) to Base Unit

Length of Truncated Cuboid: 20 Meter --> 20 Meter No Conversion Required
Height of Truncated Cuboid: 15 Meter --> 15 Meter No Conversion Required
Width of Truncated Cuboid: 12 Meter --> 12 Meter No Conversion Required
Shortened Height of Truncated Cuboid: 8 Meter --> 8 Meter No Conversion Required
Shortened Width of Truncated Cuboid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (l*h*w)-((h-h_Short)*(w-w_Short)*l/2) --> (20*15*12)-((15-8)*(12-6)*20/2)

Evaluating ... ...

V = 3180

STEP 3: Convert Result to Output's Unit

3180 Cubic Meter --> No Conversion Required

FINAL ANSWER

3180 Cubic Meter <-- Volume of Truncated Cuboid

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< 3 Truncated Cuboid Calculators

Total Surface Area of Truncated Cuboid

Go Total Surface Area of Truncated Cuboid = Length of Truncated Cuboid*(Height of Truncated Cuboid+Width of Truncated Cuboid+Shortened Height of Truncated Cuboid+Inclined Edge of Truncated Cuboid+Shortened Width of Truncated Cuboid)+(2*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid))

Volume of Truncated Cuboid

Go Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2)

Inclined Edge of Truncated Cuboid

Go Inclined Edge of Truncated Cuboid = sqrt((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)^2+(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)^2)

Volume of Truncated Cuboid Formula

What is a Truncated Cuboid?

A Truncated Cuboid is convex polyhedron bounded by six quadrilateral faces with one edge cut off straight. In Truncated Cuboid, the longest edge, i.e., length is truncated, thereby the adjacent edges height and width here are shortened. For a cuboid with every edge truncated, see obtuse edged cuboid.

How to Calculate Volume of Truncated Cuboid?

Volume of Truncated Cuboid calculator uses Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2) to calculate the Volume of Truncated Cuboid, The Volume of Truncated Cuboid formula is defined as the total quantity of three dimensional space enclosed by the surface of a Truncated Cuboid. Volume of Truncated Cuboid is denoted by V symbol.

How to calculate Volume of Truncated Cuboid using this online calculator? To use this online calculator for Volume of Truncated Cuboid, enter Length of Truncated Cuboid (l), Height of Truncated Cuboid (h), Width of Truncated Cuboid (w), Shortened Height of Truncated Cuboid (h_Short) & Shortened Width of Truncated Cuboid (w_Short) and hit the calculate button. Here is how the Volume of Truncated Cuboid calculation can be explained with given input values -> 3180 = (20*15*12)-((15-8)*(12-6)*20/2).

FAQ

What is Volume of Truncated Cuboid?

The Volume of Truncated Cuboid formula is defined as the total quantity of three dimensional space enclosed by the surface of a Truncated Cuboid and is represented as V = (l*h*w)-((h-h_Short)*(w-w_Short)*l/2) or Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2). The Length of Truncated Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Truncated Cuboid, The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid, The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid, The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid & The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

How to calculate Volume of Truncated Cuboid?

The Volume of Truncated Cuboid formula is defined as the total quantity of three dimensional space enclosed by the surface of a Truncated Cuboid is calculated using Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2). To calculate Volume of Truncated Cuboid, you need Length of Truncated Cuboid (l), Height of Truncated Cuboid (h), Width of Truncated Cuboid (w), Shortened Height of Truncated Cuboid (h_Short) & Shortened Width of Truncated Cuboid (w_Short). With our tool, you need to enter the respective value for Length of Truncated Cuboid, Height of Truncated Cuboid, Width of Truncated Cuboid, Shortened Height of Truncated Cuboid & Shortened Width of Truncated Cuboid 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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