Lateral Surface Area of Pentagonal Prism Calculator

✖The Base Edge Length of Pentagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Prism.ⓘ Base Edge Length of Pentagonal Prism [l_e(Base)]			+10% -10%
✖The Height of Pentagonal Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Pentagonal Prism.ⓘ Height of Pentagonal Prism [h]			+10% -10%

✖The Lateral Surface Area of Pentagonal Prism is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Pentagonal Prism.ⓘ Lateral Surface Area of Pentagonal Prism [LSA]

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Lateral Surface Area of Pentagonal Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Pentagonal Prism = 5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism
LSA = 5*l_e(Base)*h
This formula uses 3 Variables

Variables Used

Lateral Surface Area of Pentagonal Prism - (Measured in Square Meter) - The Lateral Surface Area of Pentagonal Prism is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Pentagonal Prism.
Base Edge Length of Pentagonal Prism - (Measured in Meter) - The Base Edge Length of Pentagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Prism.
Height of Pentagonal Prism - (Measured in Meter) - The Height of Pentagonal Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Pentagonal Prism.

STEP 1: Convert Input(s) to Base Unit

Base Edge Length of Pentagonal Prism: 10 Meter --> 10 Meter No Conversion Required
Height of Pentagonal Prism: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = 5*l_e(Base)*h --> 5*10*15

Evaluating ... ...

LSA = 750

STEP 3: Convert Result to Output's Unit

750 Square Meter --> No Conversion Required

FINAL ANSWER

750 Square Meter <-- Lateral Surface Area of Pentagonal Prism

(Calculation completed in 00.004 seconds)

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< Pentagonal Prism Calculators

Total Surface Area of Pentagonal Prism

LaTeX Go Total Surface Area of Pentagonal Prism = (5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism)+sqrt(5*(5+(2*sqrt(5))))/2*Base Edge Length of Pentagonal Prism^2

Volume of Pentagonal Prism

LaTeX Go Volume of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2*Height of Pentagonal Prism

Base Area of Pentagonal Prism

LaTeX Go Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2

Lateral Surface Area of Pentagonal Prism

LaTeX Go Lateral Surface Area of Pentagonal Prism = 5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism

Lateral Surface Area of Pentagonal Prism Formula

LaTeX Go

Lateral Surface Area of Pentagonal Prism = 5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism
LSA = 5*l_e(Base)*h

What is Pentagonal Prism?

In geometry, the Pentagonal Prism is a prism with pentagonal base. This polyhedron has 7 faces, 15 edges, and 10 vertices.

What is Prism?

In mathematics, a Prism is a polyhedron with two polygonal bases parallel to each other. In physics (optics), a prism is defined as the transparent optical element with flat polished surfaces that refract light. Lateral faces join the two polygonal bases. The lateral faces are mostly rectangular. In some cases, it may be a parallelogram.

How to Calculate Lateral Surface Area of Pentagonal Prism?

Lateral Surface Area of Pentagonal Prism calculator uses Lateral Surface Area of Pentagonal Prism = 5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism to calculate the Lateral Surface Area of Pentagonal Prism, The Lateral Surface Area of Pentagonal Prism formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Pentagonal Prism. Lateral Surface Area of Pentagonal Prism is denoted by LSA symbol.

How to calculate Lateral Surface Area of Pentagonal Prism using this online calculator? To use this online calculator for Lateral Surface Area of Pentagonal Prism, enter Base Edge Length of Pentagonal Prism (l_e(Base)) & Height of Pentagonal Prism (h) and hit the calculate button. Here is how the Lateral Surface Area of Pentagonal Prism calculation can be explained with given input values -> 750 = 5*10*15.

FAQ

What is Lateral Surface Area of Pentagonal Prism?

The Lateral Surface Area of Pentagonal Prism formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Pentagonal Prism and is represented as LSA = 5*l_e(Base)*h or Lateral Surface Area of Pentagonal Prism = 5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism. The Base Edge Length of Pentagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Prism & The Height of Pentagonal Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Pentagonal Prism.

How to calculate Lateral Surface Area of Pentagonal Prism?

The Lateral Surface Area of Pentagonal Prism formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Pentagonal Prism is calculated using Lateral Surface Area of Pentagonal Prism = 5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism. To calculate Lateral Surface Area of Pentagonal Prism, you need Base Edge Length of Pentagonal Prism (l_e(Base)) & Height of Pentagonal Prism (h). With our tool, you need to enter the respective value for Base Edge Length of Pentagonal Prism & Height of Pentagonal Prism 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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