Volume of Right Square Pyramid given Slant Height 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%
✖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 [h_slant]			+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 given Slant Height [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Right Square Pyramid Formulas PDF PDF Image

Volume of Right Square Pyramid given Slant Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Right Square Pyramid = (Edge Length of Base of Right Square Pyramid^2*sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4))/3
V = (l_e(Base)^2*sqrt(h_slant^2-l_e(Base)^2/4))/3
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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Right Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
Slant Height of Right Square Pyramid: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (l_e(Base)^2*sqrt(h_slant^2-l_e(Base)^2/4))/3 --> (10^2*sqrt(16^2-10^2/4))/3

Evaluating ... ...

V = 506.622805119022

STEP 3: Convert Result to Output's Unit

506.622805119022 Cubic Meter --> No Conversion Required

FINAL ANSWER

506.622805119022 ≈ 506.6228 Cubic Meter <-- Volume of Right Square Pyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Pyramids » Square Pyramids » Right Square Pyramid » Volume of Right Square Pyramid » Volume of Right Square Pyramid given Slant Height

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< Volume of Right Square Pyramid Calculators

Volume of Right Square Pyramid given Slant Height

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

Volume of Right Square Pyramid

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

Volume of Right Square Pyramid given Slant Height 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 Volume of Right Square Pyramid given Slant Height?

Volume of Right Square Pyramid given Slant Height calculator uses Volume of Right Square Pyramid = (Edge Length of Base of Right Square Pyramid^2*sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4))/3 to calculate the Volume of Right Square Pyramid, Volume of Right Square Pyramid given Slant Height formula is defined as the total quantity of three-dimensional space enclosed on the surface of the Right Square Pyramid and is calculated using the slant height of the Right Square Pyramid. Volume of Right Square Pyramid is denoted by V symbol.

How to calculate Volume of Right Square Pyramid given Slant Height using this online calculator? To use this online calculator for Volume of Right Square Pyramid given Slant Height, enter Edge Length of Base of Right Square Pyramid (l_e(Base)) & Slant Height of Right Square Pyramid (h_slant) and hit the calculate button. Here is how the Volume of Right Square Pyramid given Slant Height calculation can be explained with given input values -> 506.6228 = (10^2*sqrt(16^2-10^2/4))/3.

FAQ

What is Volume of Right Square Pyramid given Slant Height?

Volume of Right Square Pyramid given Slant Height formula is defined as the total quantity of three-dimensional space enclosed on the surface of the Right Square Pyramid and is calculated using the slant height of the Right Square Pyramid and is represented as V = (l_e(Base)^2*sqrt(h_slant^2-l_e(Base)^2/4))/3 or Volume of Right Square Pyramid = (Edge Length of Base of Right Square Pyramid^2*sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4))/3. 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 & 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.

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

Volume of Right Square Pyramid given Slant Height formula is defined as the total quantity of three-dimensional space enclosed on the surface of the Right Square Pyramid and is calculated using the slant height of the Right Square Pyramid is calculated using Volume of Right Square Pyramid = (Edge Length of Base of Right Square Pyramid^2*sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4))/3. To calculate Volume of Right Square Pyramid given Slant Height, you need Edge Length of Base of Right Square Pyramid (l_e(Base)) & Slant Height of Right Square Pyramid (h_slant). With our tool, you need to enter the respective value for Edge Length of Base of Right Square Pyramid & Slant Height 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 Volume of Right Square Pyramid?

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

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

Home

FREE PDFs

🔍 Search