Question

What is the volume of a triangular prism with a height of 7 meters and a base that is an equilateral triangle with sides of 2 meters?

Answer 1

14 m3

7 radical 3m3

14 radical 3m3

28 m3

Answer 2

I got 14 m3 but I am unsure

Answer 3

What I did was 2*2/2 which is 2 then 2*7

Answer 4

Anyone?

Answer 5

Get the area of the equilateral triangle using the formula:\[\bf A=\frac{ \sqrt{3} }{ 4 }s^2\]Then to find the volume multiply this area that you get by the height of the prism which is already given. @Tahamohammed

Answer 6

Isn't it the volume?

Answer 7

Are you going to help?

Answer 8

@Tahamohammed

The volume is always for such a prism, the area of the base times the height. Here the base is an equilateral triangle so find its area first. Then we multiply the area we get by the height to get the volume. I already showed you how you would get the area of an equilateral triangle. In the formula I showed, 's' is the side length of the equilateral triangle which is given as 2m. So plug that in to the formula and that will give you the area of the triangle. Now multiply the value you get by the height which is given as 7m. Your final answer will be the volume.