Question

How do you figure out the math equation for this?

Answer 1

We have two equations of the given that will be useful for the answer to this question:

• Formula for the area of a triangle, (, A ,), in which ,b ,represents the base of the triangle and ,h ,the height:

`A=(1)/(2)b\cdot h`

• Formula of the volume of the prism ,(, V ,), in which ,B ,represents the area of the base, and ,h ,which represents the height of the prism (and our unknown variable):

`V=B\cdot h`

Procedure:

0. Finding ,A:

`A=(1)/(2)\cdot bh`

`A=(1)/(2)\cdot8\cdot6.9`
`A=27.6`

Therefore, based on this result, we can replace the value in the volume formula to get h.

2. Replacing values:

`V=Bh=Ah`
`2760=27.6\cdot h`

3. Isolating for h:

`h=(2760)/(27.6)`

Answer: