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Type: Multiple-Choice
Category: Three Dimensional Shapes
Level: Grade 11
Standards: HSG-MG.A.3
Author: nsharp1
Created: a year ago

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Three Dimensional Shapes Question

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Grade 11 Three Dimensional Shapes CCSS: HSG-MG.A.3

A regular tetrahedron is a 3D shape made out of 4 equilateral triangles. Such a shape can be made out of a 2D shape, called a net. The net, when folded and joining sides attached, yields the 3D shape. The net for this shape can be seen below. The 3 gray sections are only for helping to attach adjoining faces, and can be ignored. Given a piece of paper, which is 8.5 by 11 inches, what is the largest volume of tetrahedron that can be formed? Round the answer to the nearest cubic inch. Hint: the volume of a tetrahedron is given by [math]s^3/(6sqrt(2))[/math], where [math]s[/math] is the side length of one of the equilateral triangles.
Tetrahedron Net
  1. [math]1.7 \ "in."^3[/math]
  2. [math]2.7 \ "in."^3[/math]
  3. [math]9.0 \ "in."^3[/math]
  4. [math]14.0 \ "in."^3[/math]
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