Height of Cuboid given Space Diagonal Calculator

✖The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.ⓘ Space Diagonal of Cuboid [d_Space]			+10% -10%
✖The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.ⓘ Length of Cuboid [l]			+10% -10%
✖The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.ⓘ Width of Cuboid [w]			+10% -10%

✖The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid given Space Diagonal [h]

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Height of Cuboid given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
h = sqrt(d_Space^2-l^2-w^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

Height of Cuboid - (Measured in Meter) - The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.
Space Diagonal of Cuboid - (Measured in Meter) - The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.
Length of Cuboid - (Measured in Meter) - The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.
Width of Cuboid - (Measured in Meter) - The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Cuboid: 16 Meter --> 16 Meter No Conversion Required
Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(d_Space^2-l^2-w^2) --> sqrt(16^2-12^2-6^2)

Evaluating ... ...

h = 8.71779788708135

STEP 3: Convert Result to Output's Unit

8.71779788708135 Meter --> No Conversion Required

FINAL ANSWER

8.71779788708135 ≈ 8.717798 Meter <-- Height of Cuboid

(Calculation completed in 00.004 seconds)

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< Height of Cuboid Calculators

Height of Cuboid given Total Surface Area

LaTeX Go Height of Cuboid = (Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)

Height of Cuboid given Space Diagonal

LaTeX Go Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)

Height of Cuboid given Lateral Surface Area

LaTeX Go Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))

Height of Cuboid given Volume

LaTeX Go Height of Cuboid = Volume of Cuboid/(Length of Cuboid*Width of Cuboid)

Height of Cuboid given Space Diagonal Formula

LaTeX Go

Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
h = sqrt(d_Space^2-l^2-w^2)

What is a Cuboid?

In geometry, a Cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube. While mathematical literature refers to any such polyhedron as a cuboid, other sources use "cuboid" to refer to a shape of this type in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped

How to Calculate Height of Cuboid given Space Diagonal?

Height of Cuboid given Space Diagonal calculator uses Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2) to calculate the Height of Cuboid, The Height of Cuboid given Space Diagonal formula is defined as the vertical distance measured from base to the top of Cuboid, and calculated using the space diagonal of Cuboid. Height of Cuboid is denoted by h symbol.

How to calculate Height of Cuboid given Space Diagonal using this online calculator? To use this online calculator for Height of Cuboid given Space Diagonal, enter Space Diagonal of Cuboid (d_Space), Length of Cuboid (l) & Width of Cuboid (w) and hit the calculate button. Here is how the Height of Cuboid given Space Diagonal calculation can be explained with given input values -> 8.717798 = sqrt(16^2-12^2-6^2).

FAQ

What is Height of Cuboid given Space Diagonal?

The Height of Cuboid given Space Diagonal formula is defined as the vertical distance measured from base to the top of Cuboid, and calculated using the space diagonal of Cuboid and is represented as h = sqrt(d_Space^2-l^2-w^2) or Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2). The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid, The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid & The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.

How to calculate Height of Cuboid given Space Diagonal?

The Height of Cuboid given Space Diagonal formula is defined as the vertical distance measured from base to the top of Cuboid, and calculated using the space diagonal of Cuboid is calculated using Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2). To calculate Height of Cuboid given Space Diagonal, you need Space Diagonal of Cuboid (d_Space), Length of Cuboid (l) & Width of Cuboid (w). With our tool, you need to enter the respective value for Space Diagonal of Cuboid, Length of Cuboid & Width of Cuboid 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 Height of Cuboid?

In this formula, Height of Cuboid uses Space Diagonal of Cuboid, Length of Cuboid & Width of Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Cuboid = Volume of Cuboid/(Length of Cuboid*Width of Cuboid)
Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
Height of Cuboid = (Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)

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