Question

Volume of a triangular prism of base area 18cmsq is 270cmcube. Find the height of the prism

Answer 1

Volume of prism = height * base area.

Answer 2

What abt the height?

Answer 3

How do u finds he height?

Answer 4

Make use of the formula volume of prism = height * base area.
You have the volume, and the base area. Substitute them into the formula and the only unknown you need to find is the height.

Answer 5

Prism Volume = base area * length
270 = 18 * length
length = 15 cm (don't really have to solve for this but I did)

18 sq cm = triangle area
Triangle must be an equilateral (also equiangular).
When bisected this forms two 30 60 90 triangles.
Area = (side * height) / 2
side = height/1.732
Area = height/1.732 * height
Area = h² / 1.732
31.176 = h²
height (of equilateral triaangle) = 5.5835472596
half side (of equilateral triaangle) = 3.2237570783