Respuesta :
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
- Solve through volume
- 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]