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

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https://brainly.com/question/13338592

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