Question

What is the volume of a triangular prism with a height of 7 inches and a base that is an equilateral triangle with sides of 6 inches?

Answer 1

i tried looking up the formula to solve this, and i tried but its just confused me :/

Answer 2

here are the multiple choice answers it gave:

Answer 3

We know the area of an equilateral triangle is:

(s^2sqrt(3))/4

So when we substitute the side in, we get some value which is the area of the base. Volume of an triangular pyramid is:

V = 1/3Ah

So substitute the values in to get your volume.

Answer 4

Let me know if you need any more help @LivForMusic

Answer 5

@Retract what is the side measurement? i get the volume i just cant find the area.

Answer 6

in order to find the volume

Answer 7

The sides of the triangle are all 6 inches.

Answer 8

yeah but when i plugged it into the formula i got 15.588457

Answer 9

@jim_thompson5910 can you help me? i am confused. i think @Retract i just think I AM doing something wrong.

Answer 10

*i think @Retract is right, i just think...

Answer 11

So your area of the equilateral triangle is 15.59. Use that in the next formula.

Answer 12

oh neverming its 126in3, correct?

Answer 13

*nevermind

Answer 14

I got a much lower number for my answer.

Answer 15

these are the choices

Answer 16

The area of the triangular base is 15.588457 sq units (approximately), but it's exactly 9*sqrt(3) square units. You use the formula posted above to find this.

Answer 17

Then multiply the area of the base by the height to get your final answer. Leave the square root of 3 alone (ie there's no need to evaluate it).

Answer 18

im still very confused

Answer 19

Do you see how to get the area of the triangular base?

Answer 20

yes

Answer 21

Once you have that, you multiply that by the height to get the volume.