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:
[tex]A=\frac{1}{2}b\cdot h[/tex]
• 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):
[tex]V=B\cdot h[/tex]
Procedure:
0. Finding ,A:
[tex]A=\frac{1}{2}\cdot bh[/tex]
[tex]A=\frac{1}{2}\cdot8\cdot6.9[/tex][tex]A=27.6[/tex]
Therefore, based on this result, we can replace the value in the volume formula to get h.
2. Replacing values:
[tex]V=Bh=Ah[/tex][tex]2760=27.6\cdot h[/tex]
3. Isolating for h:
[tex]h=\frac{2760}{27.6}[/tex]
Answer:
[tex]h=100\operatorname{mm}[/tex]
