A box is in the form of a tetrahedron having side 2√2m. What would be the volume of the box? 

  1. 4/3 m3 
  2. 7/3 m3 
  3. 6/3 m3 
  4. 8/3 m3 

Answer (Detailed Solution Below)

Option 4 : 8/3 m3 
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Detailed Solution

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Given:

A box in the form of a tetrahedron having side 2√2m

Concept:

A tetrahedron is a pyramid having base as equilateral triangle and all face also as equilateral triangle.

Formula Used:

Volume of tetrahedron = (side)3 / 6√2

Calculation:

F2   Shubhanshi 14-01-22 Savita D1

Volume of tetrahedron = (side)3 / 6√2  =  (2 √2)3 / 6√2 

= 8 × 2√2 × 1 / 6√2

= 8/3 m3  

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