Answer:
[tex]b = 74\ cm[/tex]
Step-by-step explanation:
The volume of a prism is given by the following equation:
[tex]Volume = base\ area * height[/tex]
In our case, the base is a triangle, so the area is given by:
[tex]base\ area = base * height_{\Delta}/2[/tex]
The base of the triangle is 43 cm, the height of the triangle is b, the height of the prism is 24 and the volume of the prism is 38,184, so we have:
[tex]base\ area = 43 * b/2 = 21.5b[/tex]
[tex]38184 = 21.5b * 24[/tex]
[tex]b = 38184/(24*21.5)[/tex]
[tex]b = 74\ cm[/tex]
