Answered

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A cuboid has a square base.
The volume of this cuboid is 867 cm and its height is 12 cm.
Calculate the length of one side of the square base.

Sagot :

Lanuel

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.

Find more information: https://brainly.com/question/11037225

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