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  • 11-04-2024
  • Mathematics
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a rectangular prism has a volume of 500 in^3. height is 4 in. length is twice the width. what’s its length?

Respuesta :

dsloopz dsloopz
  • 11-04-2024

Answer:

15.82

Step-by-step explanation:

V = l*w*h

plug in: (we know length is twice width, so we can say length is 2w)

500 = 2w*w*4

[tex]500=8w^2[/tex]

[tex]62.5=w^2[/tex]

[tex]w=\sqrt{62.5}[/tex]

w=7.91

Now knowing width, we can just double it to get length:
[tex]7.91*2 = 15.82[/tex]

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