Respuesta :
Answer:
[tex]27\ ft^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the hole is equal to
[tex]V=L*W*H[/tex]
In this problem we have
[tex]H=3\ ft[/tex] ------> is the deep of the hole
[tex]W=3\ ft[/tex] -------> is the wide of the hole
[tex]L=3\ ft[/tex] ------> is the long of the hole
Substitute the values
[tex]V=3*3*3=27\ ft^{3}[/tex]
The amount of dirt is the volume of the hole
There are 1/64 cubic feet of dirt in the hole
The dimensions are given as:
[tex]\mathbf{Depth = 3'}[/tex]
[tex]\mathbf{Width = 3'}[/tex]
[tex]\mathbf{Length = 3'}[/tex]
The volume is calculated as:
[tex]\mathbf{Volume = Depth \times Width \times Length}[/tex]
So, we have:
[tex]\mathbf{Volume = 3' \times 3' \times 3'}[/tex]
Convert inches to feet
[tex]\mathbf{Volume = \frac{3}{12} \times \frac{3}{12} \times \frac{3}{12}ft^3}[/tex]
[tex]\mathbf{Volume = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}ft^3}[/tex]
[tex]\mathbf{Volume = \frac{1}{64} ft^3}[/tex]
Hence, there are 1/64 cubic feet of dirt in the hole
Read more about volumes at:
https://brainly.com/question/13338592