The volume of a cube is 125 cm^3. the area of a square is 64 cm^2. how does the lenghth of one edge of the cube compare to the length of one side of the square? explain.

One edge of the cube is 5 cm, one edge of the square is 8 cm, so the edge of the cube is 3 cm shorter than the edge of the square.

Step-by-step explanation:

The volume of the cube is found by the formula V = s³, where s is the side length (called the edge in this problem)Since V = 125 cm³, we can take the cube root of 125 to find the edge length.The cube root of 125 is 5, ( 5³ = 125)So the edge of the cube is 5 cmThe are of a square is found by the formula A = s² ,  where s is the side length (called the edge in this problem) Since A = 64 cm², we can take the square root of 64 to find the edge length.The square root of 64 is 8  (8² = 84)So the edge of the square is 8cmComparing the two edges tells us that the edge of the cube is 3cm shorter than the edge of the square.