Question

the volume of the triangular prism shown is 300 cubic centimeters what is the height of the prism

Answer 1

Volume of a triangular prism is \[V= \frac{1}{2}b*h*l\] first we need to figure out the height.

Answer 2

yea

Answer 3

that part :)

Answer 4

its 5 right

Answer 5

I don't think so...we'll need to do some calculations to figure that out.

Answer 6

ok

Answer 7

so if we take 1 side of that triangle, we will get

Answer 8

2.5

Answer 9

\[\large a^2+b^2=c^2\] so inputting these values and solving for h, you get \[12^2=(\frac{5}{2})^2+h^2\]\[144= \frac{25}{4}+h^2\]\[144-\frac{25}{4}=h^2\]\[h= \sqrt{144-\frac{25}{4}}\] i'll let you solve the rest :)

Answer 10

11.736

Answer 11

I AM HERE!

Answer 12

lol ok