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Anton [14]
2 years ago
10

The volume of the triangular prism is 54 cubic units.

Mathematics
1 answer:
OverLord2011 [107]2 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

Given:

  • The volume  of the triangular prism : 54 cubic units
  • The base length: 4 unit
  • The height of the base: x
  • The height of the prism : 3x  

As we know that, the formula used to find out the volume of a triangular prism is:

V = 1/2 * The base length * The height of the base * The height of the prism

<=> V = 1/2*4*x*3x

In this question we have V = 54 cubic units

<=> 1/2*4*x*3x  = 54

<=> x^{2} = 9

<=> x = 3

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