Answer :
The length of one side of the square base is 8.5 centimeters.
Given the following data:
- Volume of cuboid = 867 cm
- Height = 12 cm
To find the length of one side of the square base:
Mathematically, the volume of a cuboid is given by the formula:
[tex]Volume = Base \; area[/tex] × [tex]Height[/tex]
Substituting the given values, we have:
[tex]867 = Base \; area[/tex] × [tex]12[/tex]
[tex]Base\;area = \frac{867}{12}[/tex]
Base area = 72.225 [tex]cm^2[/tex]
Now, we can find the length by using the formula:
[tex]Area \;of\;a \;square = length^2[/tex]
[tex]72.25 = length^2[/tex]
[tex]Length = \sqrt{72.25}[/tex]
Length = 8.5 centimeters.
Therefore, the length of one side of the square base is 8.5 centimeters.
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