High School

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Abbey is adopting a kitten. She has a rectangular container to bring the kitten home. The container has a volume of 3,100.5 cubic inches. If the length of the container is 10.6 inches and the height is 15 inches, what is the width of the container?

Answer :

  • L=10.6in
  • H=15.6in
  • B=?

[tex]\\ \rm\Rrightarrow V=LBH[/tex]

[tex]\\ \rm\Rrightarrow 3100.5=10.6(15)B[/tex]

[tex]\\ \rm\Rrightarrow 3100.5=159B[/tex]

[tex]\\ \rm\Rrightarrow B=\dfrac{3100.5}{159}+19.5[/tex]

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Rewritten by : Barada

Answer:

width = 19.5 in

Step-by-step explanation:

volume of a rectangular prism = [tex]wlh[/tex]

where [tex]w[/tex] is the width, [tex]l[/tex] is the length and [tex]h[/tex] is the height

Given:

  • volume = 3100.5 in³
  • length = 10.6 in
  • height = 15 in

⇒ 3100.5 = [tex]w[/tex] x 10.6 x 15

⇒ 3100.5 = 159[tex]w[/tex]

⇒ [tex]w[/tex] = 3100.5 ÷ 159

⇒ [tex]w[/tex] = 19.5 in