We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
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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