Question

Need help with this please!!

Answer 1

Volume = (Area of the base)*(height of prism)
36 = (Area of the base)*6
(Area of the base)=36/6=6 feet²

Area of the base is an area of the triangle.
Area of the triangle = (1/2)*(base of the triangle)*(height of the triangle)
6 = (1/2)*4*(height of the triangle)
6=2*(height of the triangle)
(height of the triangle)=3 ft
Height of the tent is (height of the triangle)=3 ft.

Answer 2

That reminds me, I have to go check if my kid's tent is ready for camp.

The volume of this triangular prism tent will be the area of its base times its length, six feet here. The area of the triangle is of course half the base times the height.

If we call the height h we get

36 = (1/2) (4)(h)(6)

36 = 12 h

h = 3 feet

Most folks can sit in a 3 foot tall space, but it's a little tight, especially with your head squeezed up there near the apex.