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Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box? Hint: V = [tex] s^{3}[/tex]

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helpmeimlost
awnser is :864 because 216times 4gives u 864 so ur welcome
frika

The box has a shape of cube. The volume of cube with side s in is

[tex]V_{cube}=s^3\ in^2.[/tex]

Since Harriet uses a box of volume 216 cubic inches, then

[tex]V_{cube}=216\ in^3[/tex]

and, therefore,

[tex]216=s^3.[/tex]

Note that [tex]216=6^3,[/tex] then

[tex]6^3=s^3,\\ \\s=6\ in.[/tex]

Answer: the length of each side of the box is 6 inches.

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