emmdolzx emmdolzx
  • 02-04-2019
  • Mathematics
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altavistard
altavistard altavistard
  • 02-04-2019

Answer:

L = 17 m

Step-by-step explanation:

The formula for the volume of a rect. prism of length L, width W and height H is V = L*W*H.  Here we are given certain values (W and H) and are asked to find the third value (L).

Solving V = L*W*H for L, we get

         V

L = ----------

       W*H

Subst. 2830.5 m³ for V, 18.5 m for W and 9 m for H.  This results in:

       2830.5 m³

L = -------------------- = 17 m

      (18.5 m)(9 m)

The length of this prism is 17 m.

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