Slant Height of Right Square Pyramid given Volume Calculator

✖Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid.ⓘ Edge Length of Base of Right Square Pyramid [l_e(Base)]			+10% -10%
✖Volume of Right Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Right Square Pyramid.ⓘ Volume of Right Square Pyramid [V]			+10% -10%

✖Slant Height of Right Square Pyramid is the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face.ⓘ Slant Height of Right Square Pyramid given Volume [h_slant]

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Slant Height of Right Square Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slant Height of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/4+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2)
h_slant = sqrt(l_e(Base)^2/4+((3*V)/l_e(Base)^2)^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Slant Height of Right Square Pyramid - (Measured in Meter) - Slant Height of Right Square Pyramid is the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face.
Edge Length of Base of Right Square Pyramid - (Measured in Meter) - Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid.
Volume of Right Square Pyramid - (Measured in Cubic Meter) - Volume of Right Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Right Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Right Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
Volume of Right Square Pyramid: 500 Cubic Meter --> 500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_slant = sqrt(l_e(Base)^2/4+((3*V)/l_e(Base)^2)^2) --> sqrt(10^2/4+((3*500)/10^2)^2)

Evaluating ... ...

h_slant = 15.8113883008419

STEP 3: Convert Result to Output's Unit

15.8113883008419 Meter --> No Conversion Required

FINAL ANSWER

15.8113883008419 ≈ 15.81139 Meter <-- Slant Height of Right Square Pyramid

(Calculation completed in 00.004 seconds)

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< Height of Right Square Pyramid Calculators

Slant Height of Right Square Pyramid given Volume

LaTeX Go Slant Height of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/4+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2)

Height of Right Square Pyramid given Slant Height

LaTeX Go Height of Right Square Pyramid = sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4)

Slant Height of Right Square Pyramid

LaTeX Go Slant Height of Right Square Pyramid = sqrt(Height of Right Square Pyramid^2+Edge Length of Base of Right Square Pyramid^2/4)

Height of Right Square Pyramid given Volume

LaTeX Go Height of Right Square Pyramid = (3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2

Slant Height of Right Square Pyramid given Volume Formula

LaTeX Go

What is a Right Square Pyramid?

A Right Square Pyramid is a square pyramid whose apex is aligned above its base center. So, When an imaginary line drawn from the apex intersects the base at its center at a right angle. A square pyramid is usually the Right Square Pyramid. A Square Pyramid is a pyramid with a square base and four isosceles triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 isosceles triangular faces, and a square base. Also, It has 5 vertices and 8 edges.

How to Calculate Slant Height of Right Square Pyramid given Volume?

Slant Height of Right Square Pyramid given Volume calculator uses Slant Height of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/4+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2) to calculate the Slant Height of Right Square Pyramid, Slant Height of Right Square Pyramid given Volume formula is defined as the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face and is calculated using the volume of the Right Square Pyramid. Slant Height of Right Square Pyramid is denoted by h_slant symbol.

How to calculate Slant Height of Right Square Pyramid given Volume using this online calculator? To use this online calculator for Slant Height of Right Square Pyramid given Volume, enter Edge Length of Base of Right Square Pyramid (l_e(Base)) & Volume of Right Square Pyramid (V) and hit the calculate button. Here is how the Slant Height of Right Square Pyramid given Volume calculation can be explained with given input values -> 15.81139 = sqrt(10^2/4+((3*500)/10^2)^2).

FAQ

What is Slant Height of Right Square Pyramid given Volume?

Slant Height of Right Square Pyramid given Volume formula is defined as the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face and is calculated using the volume of the Right Square Pyramid and is represented as h_slant = sqrt(l_e(Base)^2/4+((3*V)/l_e(Base)^2)^2) or Slant Height of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/4+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2). Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid & Volume of Right Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Right Square Pyramid.

How to calculate Slant Height of Right Square Pyramid given Volume?

Slant Height of Right Square Pyramid given Volume formula is defined as the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face and is calculated using the volume of the Right Square Pyramid is calculated using Slant Height of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/4+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2). To calculate Slant Height of Right Square Pyramid given Volume, you need Edge Length of Base of Right Square Pyramid (l_e(Base)) & Volume of Right Square Pyramid (V). With our tool, you need to enter the respective value for Edge Length of Base of Right Square Pyramid & Volume of Right Square Pyramid 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 Slant Height of Right Square Pyramid?

In this formula, Slant Height of Right Square Pyramid uses Edge Length of Base of Right Square Pyramid & Volume of Right Square Pyramid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Slant Height of Right Square Pyramid = sqrt(Height of Right Square Pyramid^2+Edge Length of Base of Right Square Pyramid^2/4)

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