MathematicsIf the volume of a right equilateral prism is  8500 3 d m 3   whose height is 50 cm, then find the side of the base.

If the volume of a right equilateral prism is  8500 3 d m 3   whose height is 50 cm, then find the side of the base.


  1. A
    10 17 cm  
  2. B
    10 17 dm  
  3. C
    20 17 cm  
  4. D
    20 17 dm   

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    Solution:

    Given that the volume of a right equilateral prism is  8500 3 d m 3   whose height is 50 cm. The formula for the volume of a right equilateral prism is 3 4 a 2 ×h  . So,
    8500 3 = 3 4 a 2 ×5 8500= 5 4 a 2 8500× 4 5 = a 2 a 2 =6800 a= 6800 a= 400×17 a=20 17 dm  
    Hence, the correct option is 4.
     
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