Answer:
For covering [tex]1[/tex] unit area of the entire playground, the amount of sand required is equal to volume of [tex]3[/tex] buckets of sand.
Step-by-step explanation:
Given -
[tex]\frac{1}{3}[/tex] volume of sand in bucket is able to cover [tex]\frac{1}{9}[/tex] area of the entire playground
Thus,
For covering [tex]\frac{1}{9}[/tex] unit area of the entire playground, the amount of sand required is equal to [tex]\frac{1}{3}[/tex] of the total volume of sand in bucket
For covering [tex]1[/tex] unit area of the entire playground, the amount of sand required is equal to
[tex]\frac{\frac{1}{3} }{\frac{1}{9} } \\\\\frac{1}{3} * \frac{9}{1} \\\frac{9}{3}\\= 3[/tex]
For covering [tex]1[/tex] unit area of the entire playground, the amount of sand required is equal to volume of [tex]3[/tex] buckets of sand.