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MATH / A regular tetrahedron is a pyramid with four faces, each of which is an…

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problem

A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle. Let VV be the volume of a regular tetrahedron whose sides each have length 11. What is the exact value of V2V^2 ?
Plain-text mathematical notation (without MathML)
A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle.

Let V be the volume of a regular tetrahedron whose sides each have length 1. What is the exact value of V² ?
Original LaTeX notation
A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle.

Let $V$ be the volume of a regular tetrahedron whose sides each have length $1$. What is the exact value of $V^2$ ?

level

Level 5

type

Geometry

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Source and history

task_id
dc52d076-c358-5305-aa3a-175cfc786f7d
task_key
geometry--test--dc52d076-c358-5305-aa3a-175cfc786f7d
task_revision_id
1
config / split
geometry / test

Official source

initial import