How many cubic yard of dirt we need to fill a pool (30ft long, 15ft wide, 4.5ft dipth)??

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

To answer this question you need to know two things.  First, you need to know that volume equals length times width times depth (assuming this is a rectangular pool).  Second, you need to know that one yard is made up of three feet.

First, change the dimensions in feet into dimensions in yards.  Now the pool is 10 yards by 5 yards by 1.5 yards.

Now all you have to do is multiply 10 by 5 by 1.5.

10*5 = 50

50*1.5 = 75

So you will need 75 cubic yards of dirt.

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

First we need to detrmine the volume of the pool.

the volume = length * width * depth

               = 30* 15 *4.5 = 2025 ft^3

  Now we need to conver ft^3 tp cubic yard

we know that 1 yard = 3 ft

              ==> 1 yd^3 = 3^3 ft^3 = 27 ft^3

              ==> 1 ft^3 = 1/27 yard^3 (cubic yard)

               ==> 2025 ft^3 = 2025/27 = 75 cubic yard

Then we need 75 cubic yard to fill the pool

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

The volume of the pit of 30 ft long, 15ft wide and 4.5 ft deep is =30*15*4.5 ft^3

=2025 ft^3. So the volume of dirt to fill up the pit is also 2025 ft^3 = 2025/(3^3 ) cubic yard =  75 yd^3

 

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