the base of a prism is in the shape of an equilateral triangle. Its base perimeter is 6cm and height 5cm. what is the base edge of

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1. Given,

   Base perimeter = 6 cm

   Height = 5 cm

   To find,

   The length of the base edge and volume of the prism.

   Solution,

   We can simply solve this mathematical problem by using the following mathematical process.

   Base edge = (6/3) = 2 cm (As, the base is an equilateral triangle.)

   Base area = √3/4 × (2)² = √3 cm²

   Volume = Base area × height = √3 × 5 = 5√3 cm³

   (This is our required answer.)

   Hence, the length of the base edge is 2 cm and volume of the prism is 5√3 cm³.

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