Respuesta :

laratunca2004

Answer:

4 inches

Step-by-step explanation:

hi! so there are 64 cubes with 1 inch side lengths. if we are trying to fill a container which is the size of a cube, we must take the cube root of 64, which is 4. this is because 4*4*4 is 64, and we are using cubes to fill up a larger cube. this means that there are going to be 4 1-inch cubes on each side of the larger cube. when filling this up, the volume is 64 cubic inches, which makes sense because of the 64 smaller 1-inch cubes. im not 100% sure by what you mean by "edge length", but if it is the normal length of the cube, the answer is 4 inches because the cube root of 64 is 4. however, if you are talking about the diagonal from edge to edge, you have to split up a 4 by 4 square into two congruent triangles by putting a diagonal line down the middle, and use the pythagorean theorem to find the length of the diagonal.

4^2+4^2=c^2

16+16=sqrt 32

sqrt 32

if this is the case, sqrt 32 inches is the answer.

hope this helps!

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[tex]\boxed{4}[/tex] 4 inches is the edge length of the container.

➷ [tex]a = 1[/tex] inch

➷ [tex]v = a^3 = (1inch)^3 = 1inchs^3[/tex]

➷ Length of the big cube = A

Volume of the big cube = V

➷ [tex]V = A^3[/tex]

✽ he uses 64 cubes with side lengths of 1 inch to completely fill the container.

[tex]V = 64 \times v = 64 \times 1inches^3[/tex]

[tex]A^3 = 64 \times 1inches^3[/tex]

[tex]A = 4inch[/tex]

Hence, The edge length of the container is 4.

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➶ Hope This Helps You!

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