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3 years ago

Please help asap!!!!!

Mathematics

1 answer:

nika2105 [10]3 years ago

6 0

Answer:

The volume of the prism is 27√3/2

Step-by-step explanation:

* Lets revise the triangular prism properties

- The triangular prism has five faces

- Two bases and three side faces

- The two bases are triangles

- The three side faces are rectangles

- The rule of its volume is Area of its base × its height

* Lets solve the problem

- The triangular prism has two bases which are equilateral triangles

- The length of each side of the triangular base is 3"

- The height of the prism is 6"

∵ The volume of the prism = area of the base × its height

∵ The base is equilateral triangle of side length 3"

- The area of any equilateral triangle is √3/4 s²

∴ The area of the base of the prism = √3/4 × (3)² = 9√3/4

∵ The length of the height of the prism is 6"

∴ The volume of the prism = 9√3/4 × 6 = 27√3/2

* The volume of the prism is 27√3/2

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