Space Diagonal of Rectangular Prism Calculator

✖The Base Length of Rectangular Prism is the length of the longer pair of edges of the bottom rectangular face of the Rectangular Prism.ⓘ Base Length of Rectangular Prism [l_Base]			+10% -10%
✖The Height of Rectangular Prism is the length of the straight line connecting any vertex on the bottom surface to the corresponding vertex on the top surface of the Rectangular Prism.ⓘ Height of Rectangular Prism [h]			+10% -10%
✖The Base Width of Rectangular Prism is the length of the shorter pair of edges of the bottom rectangular face of the Rectangular Prism.ⓘ Base Width of Rectangular Prism [w_Base]			+10% -10%

✖The Space Diagonal of Rectangular Prism is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism.ⓘ Space Diagonal of Rectangular Prism [d_Space]

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Formula

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Space Diagonal of Rectangular Prism

Formula

`"d"_{"Space"} = sqrt("l"_{"Base"}^2+"h"^2+"w"_{"Base"}^2)`

Example

`"19.72308m"=sqrt(("10m")^2+("15m")^2+("8m")^2)`

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Space Diagonal of Rectangular Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2)
d_Space = sqrt(l_Base^2+h^2+w_Base^2)
This formula uses 1 Functions, 4 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

Space Diagonal of Rectangular Prism - (Measured in Meter) - The Space Diagonal of Rectangular Prism is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism.
Base Length of Rectangular Prism - (Measured in Meter) - The Base Length of Rectangular Prism is the length of the longer pair of edges of the bottom rectangular face of the Rectangular Prism.
Height of Rectangular Prism - (Measured in Meter) - The Height of Rectangular Prism is the length of the straight line connecting any vertex on the bottom surface to the corresponding vertex on the top surface of the Rectangular Prism.
Base Width of Rectangular Prism - (Measured in Meter) - The Base Width of Rectangular Prism is the length of the shorter pair of edges of the bottom rectangular face of the Rectangular Prism.

STEP 1: Convert Input(s) to Base Unit

Base Length of Rectangular Prism: 10 Meter --> 10 Meter No Conversion Required
Height of Rectangular Prism: 15 Meter --> 15 Meter No Conversion Required
Base Width of Rectangular Prism: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt(l_Base^2+h^2+w_Base^2) --> sqrt(10^2+15^2+8^2)

Evaluating ... ...

d_Space = 19.723082923316

STEP 3: Convert Result to Output's Unit

19.723082923316 Meter --> No Conversion Required

FINAL ANSWER

19.723082923316 ≈ 19.72308 Meter <-- Space Diagonal of Rectangular Prism

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< 4 Rectangular Prism Calculators

Total Surface Area of Rectangular Prism

Go Total Surface Area of Rectangular Prism = 2*((Base Length of Rectangular Prism*Base Width of Rectangular Prism)+(Base Length of Rectangular Prism*Height of Rectangular Prism)+(Base Width of Rectangular Prism*Height of Rectangular Prism))

Space Diagonal of Rectangular Prism

Go Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2)

Volume of Rectangular Prism

Go Volume of Rectangular Prism = Base Length of Rectangular Prism*Base Width of Rectangular Prism*Height of Rectangular Prism

Base Area of Rectangular Prism

Go Base Area of Rectangular Prism = Base Length of Rectangular Prism*Base Width of Rectangular Prism

Space Diagonal of Rectangular Prism Formula

Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2)
d_Space = sqrt(l_Base^2+h^2+w_Base^2)

What is Rectangular Prism?

In geometry, the Rectangular Prism is a prism with rectangular base. This polyhedron has 6 faces, 12 edges, and 8 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 Space Diagonal of Rectangular Prism?

Space Diagonal of Rectangular Prism calculator uses Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2) to calculate the Space Diagonal of Rectangular Prism, The Space Diagonal of Rectangular Prism formula is defined as the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism. Space Diagonal of Rectangular Prism is denoted by d_Space symbol.

How to calculate Space Diagonal of Rectangular Prism using this online calculator? To use this online calculator for Space Diagonal of Rectangular Prism, enter Base Length of Rectangular Prism (l_Base), Height of Rectangular Prism (h) & Base Width of Rectangular Prism (w_Base) and hit the calculate button. Here is how the Space Diagonal of Rectangular Prism calculation can be explained with given input values -> 19.72308 = sqrt(10^2+15^2+8^2).

FAQ

What is Space Diagonal of Rectangular Prism?

The Space Diagonal of Rectangular Prism formula is defined as the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism and is represented as d_Space = sqrt(l_Base^2+h^2+w_Base^2) or Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2). The Base Length of Rectangular Prism is the length of the longer pair of edges of the bottom rectangular face of the Rectangular Prism, The Height of Rectangular Prism is the length of the straight line connecting any vertex on the bottom surface to the corresponding vertex on the top surface of the Rectangular Prism & The Base Width of Rectangular Prism is the length of the shorter pair of edges of the bottom rectangular face of the Rectangular Prism.

How to calculate Space Diagonal of Rectangular Prism?

The Space Diagonal of Rectangular Prism formula is defined as the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Rectangular Prism is calculated using Space Diagonal of Rectangular Prism = sqrt(Base Length of Rectangular Prism^2+Height of Rectangular Prism^2+Base Width of Rectangular Prism^2). To calculate Space Diagonal of Rectangular Prism, you need Base Length of Rectangular Prism (l_Base), Height of Rectangular Prism (h) & Base Width of Rectangular Prism (w_Base). With our tool, you need to enter the respective value for Base Length of Rectangular Prism, Height of Rectangular Prism & Base Width of Rectangular 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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