Respuesta :

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Answer: 12

Step-by-step explanation: V of prism = S of triangle*Height of prism

height of prism is 30

S of triangle = a/2*h( a =18 cm)

3240=30*(18/2)*h

h=3240/(9*30)=12

Two ways are there

  1. Solve through volume
  2. Solve through Pythagorean theorem

Make it simple, go through second way

  • Base=18/2=9cm

[tex]\\ \rm\Rrightarrow h^2=15^2-9^2[/tex]

[tex]\\ \rm\Rrightarrow h^2=225-81[/tex]

[tex]\\ \rm\Rrightarrow h^2=144[/tex]

[tex]\\ \rm\Rrightarrow h=12cm[/tex]