koalalovergurl
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  • 24-03-2022
  • Mathematics
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The bases of the prism below are right triangles. The volume of the prism is 360
units. Find the height of the prism.

The bases of the prism below are right triangles The volume of the prism is 360 units Find the height of the prism class=

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Paounn
Paounn Paounn
  • 24-03-2022

Answer:

15

Step-by-step explanation:

The surface of one of the triangles making the base of the prism is [tex]\frac 12 \cdot 6 \cdot 8 = 24[/tex].

At this point we can express the volume in terms of base surface and height as in [tex]360 = 24\cdot h[/tex] from which we can get the height by dividing by 24 both sides:

[tex]h= \frac{360}{24} = 15[/tex]

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