blubberfish4370 blubberfish4370
  • 18-01-2020
  • Mathematics
contestada

The volume of an aquarium for one fish is 384 cubic inches. The height of the aquarium is 6 inches. The base is a square. What are the dimensions of the base?

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sam4040
sam4040 sam4040
  • 24-01-2020

Answer:

[tex]Length=8\ inches,\ Width=8\ inches,\ Height=6\ inches[/tex]

Step-by-step explanation:

Let length of the aquarium[tex]=a[/tex]

Since base is square, length and width of the aquarium will be same.

Width[tex]=a[/tex]

[tex]Volume\ of\ cuboid=Length\times Width\times Height\\\\a\times a\times 6=384\\\\6a^2=384\\\\a^2=\frac{384}{6}\\\\a^2=64\\\\a=8\\\\Length=8\ inches,\ Width=8\ inches,\ Height=6\ inches[/tex]

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