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Abbey is adopting a kitten. Abbey has a rectangular container to bring the kitten home in. The container has a volume of 3,100.5?*cubed* If the length of the container is 10.6 in and the height is 15 in, what is the width of the container? PLEASE HELP

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WindyMint

Given:

[tex] \\ [/tex]

  • Volume = 3100.5 in³
  • Length of container = 10.6 in
  • Height of container = 15 in.

[tex] \\ [/tex]

To find:

[tex] \\ [/tex]

  • Width of container

[tex] \\ [/tex]

Solution:

[tex] \\ [/tex]

So as we know container is in cuboidal shape.

Therefore we can find value of width using formula of volume of cuboid.

[tex] \\ [/tex]

We know:-

Volume of cuboid = L × W × H

where :-

L = length of cuboid

W = width of cuboid

H = height of cuboid

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢ Volume of cuboid = L × W × H

[tex] \\ [/tex]

⇢ Volume of cuboid = 10. 6 × 15 × W

[tex] \\ [/tex]

⇢ 3100.5 = 10. 6 × 15 × W

[tex] \\ [/tex]

⇢ 10. 6 × 15 × W = 3100.5

[tex] \\ [/tex]

⇢ W = 3100.5/(10. 6 × 15 )

[tex] \\ [/tex]

⇢ W = 31005/(106 × 15 )

[tex] \\ [/tex]

⇢ W = 2067/(106 × 1 )

[tex] \\ [/tex]

⇢ W = 2067/106

[tex] \\ [/tex]

⇢ W = 19.5 in

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