Total Surface Area of Right Wedge given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)+(2*Volume of Right Wedge)/Base Length of Right Wedge
TSA = (lBase*wBase)+(2*lBase*le)+(2*V)/lBase
This formula uses 5 Variables
Variables Used
Total Surface Area of Right Wedge - (Measured in Square Meter) - Total Surface Area of Right Wedge is the total quantity of two dimensional space enclosed on the entire surface 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.
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.
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.
Volume of Right Wedge - (Measured in Cubic Meter) - Volume of Right Wedge is the amount of three dimensional space occupied by the Right Wedge.
STEP 1: Convert Input(s) to Base Unit
Base Length of Right Wedge: 15 Meter --> 15 Meter No Conversion Required
Base Width of Right Wedge: 5 Meter --> 5 Meter No Conversion Required
Edge Length of Right Wedge: 10 Meter --> 10 Meter No Conversion Required
Volume of Right Wedge: 365 Cubic Meter --> 365 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = (lBase*wBase)+(2*lBase*le)+(2*V)/lBase --> (15*5)+(2*15*10)+(2*365)/15
Evaluating ... ...
TSA = 423.666666666667
STEP 3: Convert Result to Output's Unit
423.666666666667 Square Meter --> No Conversion Required
FINAL ANSWER
423.666666666667 423.6667 Square Meter <-- Total Surface Area of Right Wedge
(Calculation completed in 00.020 seconds)

Credits

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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 Total Surface Area of Right Wedge Calculators

Total Surface Area of Right Wedge given Volume
Go 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)+(2*Volume of Right Wedge)/Base Length of Right Wedge
Total Surface Area of Right Wedge
Go 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)+(Height of Right Wedge*Base Width of Right Wedge)
Total Surface Area of Right Wedge given Lateral Surface Area
Go Total Surface Area of Right Wedge = Lateral Surface Area of Right Wedge+(Base Length of Right Wedge*Base Width of Right Wedge)

Total Surface Area of Right Wedge given Volume Formula

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)+(2*Volume of Right Wedge)/Base Length of Right Wedge
TSA = (lBase*wBase)+(2*lBase*le)+(2*V)/lBase

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 Total Surface Area of Right Wedge given Volume?

Total Surface Area of Right Wedge given Volume calculator uses 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)+(2*Volume of Right Wedge)/Base Length of Right Wedge to calculate the Total Surface Area of Right Wedge, The Total Surface Area of Right Wedge given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Right Wedge, and calculated using the volume of Right Wedge. Total Surface Area of Right Wedge is denoted by TSA symbol.

How to calculate Total Surface Area of Right Wedge given Volume using this online calculator? To use this online calculator for Total Surface Area of Right Wedge given Volume, enter Base Length of Right Wedge (lBase), Base Width of Right Wedge (wBase), Edge Length of Right Wedge (le) & Volume of Right Wedge (V) and hit the calculate button. Here is how the Total Surface Area of Right Wedge given Volume calculation can be explained with given input values -> 423.6667 = (15*5)+(2*15*10)+(2*365)/15.

FAQ

What is Total Surface Area of Right Wedge given Volume?
The Total Surface Area of Right Wedge given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Right Wedge, and calculated using the volume of Right Wedge and is represented as TSA = (lBase*wBase)+(2*lBase*le)+(2*V)/lBase or 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)+(2*Volume of Right Wedge)/Base 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, Base Width of Right Wedge is the length of the shorter 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 & Volume of Right Wedge is the amount of three dimensional space occupied by the Right Wedge.
How to calculate Total Surface Area of Right Wedge given Volume?
The Total Surface Area of Right Wedge given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Right Wedge, and calculated using the volume of Right Wedge is calculated using 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)+(2*Volume of Right Wedge)/Base Length of Right Wedge. To calculate Total Surface Area of Right Wedge given Volume, you need Base Length of Right Wedge (lBase), Base Width of Right Wedge (wBase), Edge Length of Right Wedge (le) & Volume of Right Wedge (V). With our tool, you need to enter the respective value for Base Length of Right Wedge, Base Width of Right Wedge, Edge Length of Right Wedge & Volume 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 Total Surface Area of Right Wedge?
In this formula, Total Surface Area of Right Wedge uses Base Length of Right Wedge, Base Width of Right Wedge, Edge Length of Right Wedge & Volume of Right Wedge. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)+(Height of Right Wedge*Base Width of Right Wedge)
  • Total Surface Area of Right Wedge = Lateral Surface Area of Right Wedge+(Base Length of Right Wedge*Base Width of Right Wedge)
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