Question

The volume of a regular triangular prism is 90 sqrt of 3 cm^3. If the radius of the inscribed circle in the base is 3 cm, find the altitude of the prism

Answer 1

Do you know trigonometry or Pythagorus theorem? :D

Answer 2

@1018 ?

Answer 3

Oh, hey sorry. Yeah I'm familiar. :)

Answer 4

Both?

Answer 5

Now find area of triangle and then divide it from the volume of the prism. :)

Understood? :)

Answer 6

Area of triangle would be 1/2(b*h) right?

Answer 7

No this is a regular triangular prism so the triangle must be equilateral triangle.
Whose area = rt3*side^2/4

Answer 8

what is t? sorry for late reply. Net's reaaaally slow.

Answer 9

root 3

Answer 10

is that sqrt of 3?

Answer 11

Yes.

Answer 12

Understood now? :)

Answer 13

so then i should substitute them to V=Bh formula to get the height right? Ooh, I was wrong on the triangle formula. Haha

Answer 14

Yes you should do that.

Answer 15

Thank you! :)

Answer 16

:)

Answer 17

just to be clear, the side of the triangle is 4sqrt3 right?

Answer 18

2sqrt3