Respuesta :

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.