Volume of Right Wedge given Lateral Surface Area Calculator

✖Base Length of Right Wedge is the length of the longer pair of opposite edges of the base rectangular face of the Right Wedge.ⓘ Base Length of Right Wedge [l_Base]			+10% -10%
✖Lateral Surface Area of Right Wedge is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Right Wedge.ⓘ Lateral Surface Area of Right Wedge [LSA]			+10% -10%
✖Edge Length of Right Wedge is the length of the equal sides of the lateral isosceles triangular faces of the Right Wedge.ⓘ Edge Length of Right Wedge [l_e]			+10% -10%

✖Volume of Right Wedge is the amount of three dimensional space occupied by the Right Wedge.ⓘ Volume of Right Wedge given Lateral Surface Area [V]

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Formula

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Volume of Right Wedge given Lateral Surface Area

Formula

`"V" = "l"_{"Base"}/2*("LSA"-(2*"l"_{"Base"}*"l"_{"e"}))`

Example

`"375m³"="15m"/2*("350m²"-(2*"15m"*"10m"))`

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Volume of Right Wedge given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Right Wedge = Base Length of Right Wedge/2*(Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))
V = l_Base/2*(LSA-(2*l_Base*l_e))
This formula uses 4 Variables

Variables Used

Volume of Right Wedge - (Measured in Cubic Meter) - Volume of Right Wedge is the amount of three dimensional space occupied by the Right Wedge.
Base Length of Right Wedge - (Measured in Meter) - Base Length of Right Wedge is the length of the longer pair of opposite edges of the base rectangular face of the Right Wedge.
Lateral Surface Area of Right Wedge - (Measured in Square Meter) - Lateral Surface Area of Right Wedge is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Right Wedge.
Edge Length of Right Wedge - (Measured in Meter) - Edge Length of Right Wedge is the length of the equal sides of the lateral isosceles triangular faces of the Right Wedge.

STEP 1: Convert Input(s) to Base Unit

Base Length of Right Wedge: 15 Meter --> 15 Meter No Conversion Required
Lateral Surface Area of Right Wedge: 350 Square Meter --> 350 Square Meter No Conversion Required
Edge Length of Right Wedge: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = l_Base/2*(LSA-(2*l_Base*l_e)) --> 15/2*(350-(2*15*10))

Evaluating ... ...

V = 375

STEP 3: Convert Result to Output's Unit

375 Cubic Meter --> No Conversion Required

FINAL ANSWER

375 Cubic Meter <-- Volume of Right Wedge

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 3 Volume of Right Wedge Calculators

Volume of Right Wedge given Total Surface Area

Go Volume of Right Wedge = Base Length of Right Wedge/2*(Total Surface Area of Right Wedge-(Base Length of Right Wedge*Base Width of Right Wedge)-(2*Base Length of Right Wedge*Edge Length of Right Wedge))

Volume of Right Wedge given Lateral Surface Area

Go Volume of Right Wedge = Base Length of Right Wedge/2*(Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))

Volume of Right Wedge

Go Volume of Right Wedge = (Base Length of Right Wedge*Base Width of Right Wedge*Height of Right Wedge)/2

Volume of Right Wedge given Lateral Surface Area Formula

Volume of Right Wedge = Base Length of Right Wedge/2*(Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))
V = l_Base/2*(LSA-(2*l_Base*l_e))

What is Right Wedge?

A Right Wedge is a wedge with parallel side triangles. It has a rectangular base, two rectangular faces and two isosceles triangles.

What is Wedge?

In solid geometry, a Wedge is a polyhedron defined by two triangles and three trapezoid faces. It has five faces, nine edges, and six vertices. It is a subclass of the prismatoids with the base and opposite ridge in two parallel planes. It can also be classified as a diagonal cupola.

How to Calculate Volume of Right Wedge given Lateral Surface Area?

Volume of Right Wedge given Lateral Surface Area calculator uses Volume of Right Wedge = Base Length of Right Wedge/2*(Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge)) to calculate the Volume of Right Wedge, The Volume of Right Wedge given Lateral Surface Area formula is defined as the amount of three dimensional space occupied by the Right Wedge, and calculated using the lateral surface area of Right Wedge. Volume of Right Wedge is denoted by V symbol.

How to calculate Volume of Right Wedge given Lateral Surface Area using this online calculator? To use this online calculator for Volume of Right Wedge given Lateral Surface Area, enter Base Length of Right Wedge (l_Base), Lateral Surface Area of Right Wedge (LSA) & Edge Length of Right Wedge (l_e) and hit the calculate button. Here is how the Volume of Right Wedge given Lateral Surface Area calculation can be explained with given input values -> 375 = 15/2*(350-(2*15*10)).

FAQ

What is Volume of Right Wedge given Lateral Surface Area?

The Volume of Right Wedge given Lateral Surface Area formula is defined as the amount of three dimensional space occupied by the Right Wedge, and calculated using the lateral surface area of Right Wedge and is represented as V = l_Base/2*(LSA-(2*l_Base*l_e)) or Volume of Right Wedge = Base Length of Right Wedge/2*(Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge)). Base Length of Right Wedge is the length of the longer pair of opposite edges of the base rectangular face of the Right Wedge, Lateral Surface Area of Right Wedge is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Right Wedge & Edge Length of Right Wedge is the length of the equal sides of the lateral isosceles triangular faces of the Right Wedge.

How to calculate Volume of Right Wedge given Lateral Surface Area?

The Volume of Right Wedge given Lateral Surface Area formula is defined as the amount of three dimensional space occupied by the Right Wedge, and calculated using the lateral surface area of Right Wedge is calculated using Volume of Right Wedge = Base Length of Right Wedge/2*(Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge)). To calculate Volume of Right Wedge given Lateral Surface Area, you need Base Length of Right Wedge (l_Base), Lateral Surface Area of Right Wedge (LSA) & Edge Length of Right Wedge (l_e). With our tool, you need to enter the respective value for Base Length of Right Wedge, Lateral Surface Area of Right Wedge & Edge Length of Right Wedge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Right Wedge?

In this formula, Volume of Right Wedge uses Base Length of Right Wedge, Lateral Surface Area of Right Wedge & Edge Length of Right Wedge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Right Wedge = (Base Length of Right Wedge*Base Width of Right Wedge*Height of Right Wedge)/2
Volume of Right Wedge = Base Length of Right Wedge/2*(Total Surface Area of Right Wedge-(Base Length of Right Wedge*Base Width of Right Wedge)-(2*Base Length of Right Wedge*Edge Length of Right Wedge))

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