Question

Tammy has a clay vase shaped as a triangular prism with a base area of 42.6 square inches. It is one third filled with water. If there are 304 cubic inches of water in the vase, what is the height of the vase, rounded to the nearest tenth? 14.5 inches 21.4 inches 6.5 inches 7.6 inches

Answer 1

I just need the formula...

Answer 2

http://www.mathsteacher.com.au/year9/ch14_measurement/19_prism/prism.htm
is it this shape?

Answer 3

It didnt show a picture with it..

Answer 4

ok well i am assuming that that is the shape so the formula is
\( \frac{1} {2} base*height*length = Volume \)

Answer 5

Thank you

Answer 6

so the base is 42.6 square inches.... but it doesnt give height or length :(

Answer 7

oops, its base area not the base soo......

Answer 8

thanks, I know what formula I needed! (: its V= Bh

Answer 9

yupppp

Answer 10

still not sure what I put for the volume to find the height though...

Answer 11

wait let me work it out

Answer 12

mmk, thank you!!! (:

Answer 13

ok got the answer sorry my comp fell and broke :(

Answer 14

Yay! and dang, that sucks!! :/

Answer 15

ok so we know that for a third of the height its 304 cubed
So we will just plug this info to our formula but leave out the height since we dont know what a 3rd of the height is
42.6*height=304
height=304/42.6=7.136
Therfore the height for the amount of water in the vase is 7.136
Now that is a third of the height of the vase
soooooo
our height of the vase is 7.136*3=21.4

Answer 16

Thank you SOOOO much!! (:

Answer 17

np