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 s36√2, where s is the side length of one of the equilateral triangles.
- 1.7 in.3
- 2.7 in.3
- 9.0 in.3
- 14.0 in.3