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Cube Circumradius Calculator

s

(length of side)

units

Circumradius (R)

units

CopyView Calculation

How to use this Cube Circumradius Calculator 🤔

1. Enter ✎ value for length of side (s).
2. As soon as you enter the required input value(s), the Cube Circumradius is calculated immediately, and displaed in the output section (present under input section).

Formula

To calculate the cube circumradius, you can use the following formula.

\(R = \) \( \frac{ s \sqrt{3} }{2} \)

where

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

Examples

The following examples cover how to calcualte the Circumradius when length of side is given.

1. What is the Circumradius of Cube whose length of side is 20 units?

Answer

Given:

• length of side, s = 20 units

The formula to find the Circumradius of a Cube is:

R = \( \frac{ s \sqrt{3} }{2} \)

Substitute given values in the above formula.

R = \( \frac{20\times 1.732 }{2} \)

R = 17.32 units

∴ Circumradius, R = 17.32 units

2. What is the Circumradius of Cube whose length of side is 1 units?

Answer

Given:

• length of side, s = 1 units

The formula to find the Circumradius of a Cube is:

R = \( \frac{ s \sqrt{3} }{2} \)

Substitute given values in the above formula.

R = \( \frac{1\times 1.732 }{2} \)

R = 0.87 units

∴ Circumradius, R = 0.87 units

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  "topic": "cube-circumradius",
  "img": {
    "width": 215,
    "height": 233
  },
  "input_types": [
    "float"
  ],
  "input_labels": [
    "s"
  ],
  "input_values": [
    "8"
  ],
  "input_units": [
    "units"
  ],
  "input_descriptions": [
    "length of side"
  ],
  "examples": [
    {
      "s": 20
    },
    {
      "s": 1
    }
  ],
  "type": "Calculate",
  "title": "Cube Circumradius",
  "category": "Geometry",
  "shape": "Cube",
  "formula_mathjax": "\\( \\frac{ s \\sqrt{3} }{2} \\)",
  "formula_mathjax_sub": "\\( \\frac{ s \\times 1.732 }{2} \\)",
  "formula": "( s * Math.sqrt(3) / 2 )",
  "op_label": "Circumradius",
  "output_unit": "units",
  "description": "The Cube Circumradius calculator calculates the radius of the circumcircle of a cube by taking the length of its side as input.",
  "explanation": "The circumradius of a cube is the radius of the sphere that circumscribes the cube, meaning it is the distance from the center of the cube to any of its vertices.",
  "examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Circumradius when length of side is given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Circumradius of Cube whose length of side is 20 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of side, s = 20 units</ul><p>The formula to find the Circumradius of a Cube is:</p><p class=\"tabspace\">R = \\( \\frac{ s \\sqrt{3} }{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">R = \\( \\frac{20\\times 1.732 }{2} \\)</p><p class=\"tabspace\">R = 17.32 units</p><p class=\"tabspace answer\">∴ Circumradius, R = 17.32 units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Circumradius of Cube whose length of side is 1 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of side, s = 1 units</ul><p>The formula to find the Circumradius of a Cube is:</p><p class=\"tabspace\">R = \\( \\frac{ s \\sqrt{3} }{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">R = \\( \\frac{1\\times 1.732 }{2} \\)</p><p class=\"tabspace\">R = 0.87 units</p><p class=\"tabspace answer\">∴ Circumradius, R = 0.87 units</p></div>",
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