Height of Right Wedge given Lateral Surface Area Calculator

✖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%
✖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%
✖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%
✖Base Width of Right Wedge is the length of the shorter pair of opposite edges of the base rectangular face of the Right Wedge.ⓘ Base Width of Right Wedge [w_Base]			+10% -10%

✖Height of Right Wedge is the vertical distance from the bottom rectangular face of Right Wedge to the edge where the lateral rectangular faces join.ⓘ Height of Right Wedge given Lateral Surface Area [h]

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Formula

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Height of Right Wedge given Lateral Surface Area

Formula

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

Example

`"10m"=("350m²"-(2*"15m"*"10m"))/"5m"`

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Height of Right Wedge given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Right Wedge = (Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))/Base Width of Right Wedge
h = (LSA-(2*l_Base*l_e))/w_Base
This formula uses 5 Variables

Variables Used

Height of Right Wedge - (Measured in Meter) - Height of Right Wedge is the vertical distance from the bottom rectangular face of Right Wedge to the edge where the lateral rectangular faces join.
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.
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.
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.
Base Width of Right Wedge - (Measured in Meter) - Base Width of Right Wedge is the length of the shorter pair of opposite edges of the base rectangular face of the Right Wedge.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Right Wedge: 350 Square Meter --> 350 Square Meter No Conversion Required
Base Length of Right Wedge: 15 Meter --> 15 Meter No Conversion Required
Edge Length of Right Wedge: 10 Meter --> 10 Meter No Conversion Required
Base Width of Right Wedge: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (LSA-(2*l_Base*l_e))/w_Base --> (350-(2*15*10))/5

Evaluating ... ...

h = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Height of Right Wedge

(Calculation completed in 00.004 seconds)

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< 4 Height of Right Wedge Calculators

Height of Right Wedge given Total Surface Area

Go Height of Right Wedge = (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))/Base Width of Right Wedge

Height of Right Wedge given Lateral Surface Area

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

Height of Right Wedge given Volume

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

Height of Right Wedge

Go Height of Right Wedge = sqrt(((4*Edge Length of Right Wedge^2)-Base Width of Right Wedge^2)/4)

Height of Right Wedge given Lateral Surface Area Formula

Height of Right Wedge = (Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))/Base Width of Right Wedge
h = (LSA-(2*l_Base*l_e))/w_Base

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 Height of Right Wedge given Lateral Surface Area?

Height of Right Wedge given Lateral Surface Area calculator uses Height of Right Wedge = (Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))/Base Width of Right Wedge to calculate the Height of Right Wedge, The Height of Right Wedge given Lateral Surface Area formula is defined as the vertical distance from the bottom rectangular face of Right Wedge to the edge where the lateral rectangular faces join, and calculated using the lateral surface area of Right Wedge. Height of Right Wedge is denoted by h symbol.

How to calculate Height of Right Wedge given Lateral Surface Area using this online calculator? To use this online calculator for Height of Right Wedge given Lateral Surface Area, enter Lateral Surface Area of Right Wedge (LSA), Base Length of Right Wedge (l_Base), Edge Length of Right Wedge (l_e) & Base Width of Right Wedge (w_Base) and hit the calculate button. Here is how the Height of Right Wedge given Lateral Surface Area calculation can be explained with given input values -> 10 = (350-(2*15*10))/5.

FAQ

What is Height of Right Wedge given Lateral Surface Area?

The Height of Right Wedge given Lateral Surface Area formula is defined as the vertical distance from the bottom rectangular face of Right Wedge to the edge where the lateral rectangular faces join, and calculated using the lateral surface area of Right Wedge and is represented as h = (LSA-(2*l_Base*l_e))/w_Base or Height of Right Wedge = (Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))/Base Width of 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, Base Length of Right Wedge is the length of the longer pair of opposite edges of the base rectangular face 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 & Base Width of Right Wedge is the length of the shorter pair of opposite edges of the base rectangular face of the Right Wedge.

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

The Height of Right Wedge given Lateral Surface Area formula is defined as the vertical distance from the bottom rectangular face of Right Wedge to the edge where the lateral rectangular faces join, and calculated using the lateral surface area of Right Wedge is calculated using Height of Right Wedge = (Lateral Surface Area of Right Wedge-(2*Base Length of Right Wedge*Edge Length of Right Wedge))/Base Width of Right Wedge. To calculate Height of Right Wedge given Lateral Surface Area, you need Lateral Surface Area of Right Wedge (LSA), Base Length of Right Wedge (l_Base), Edge Length of Right Wedge (l_e) & Base Width of Right Wedge (w_Base). With our tool, you need to enter the respective value for Lateral Surface Area of Right Wedge, Base Length of Right Wedge, Edge Length of Right Wedge & Base Width 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 Height of Right Wedge?

In this formula, Height of Right Wedge uses Lateral Surface Area of Right Wedge, Base Length of Right Wedge, Edge Length of Right Wedge & Base Width of Right Wedge. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Right Wedge = sqrt(((4*Edge Length of Right Wedge^2)-Base Width of Right Wedge^2)/4)
Height of Right Wedge = (2*Volume of Right Wedge)/(Base Length of Right Wedge*Base Width of Right Wedge)
Height of Right Wedge = (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))/Base Width of Right Wedge

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