One hundred and twenty five cubes, each of side 1cm, are placed on a table to form a solid cube.
The length of the edge of the cube in (cm) is
A) 5
B) 25
C) 125
D) 1
please explain how you got the answer, thanks.
V = s^3
cube root of 125 = _______ cm
To find the length of the edge of the cube formed by the 125 small cubes, we need to take the cube root of the total number of cubes. The cube root of 125 is 5, so the length of the edge of the cube is 5 cm.
Therefore, the correct answer is A) 5.
To find the length of the edge of the solid cube, we need to determine the side length of each individual cube and then find the cube root of the total number of cubes.
Since each cube has a side length of 1cm, the volume of each cube can be calculated as 1^3 = 1 cubic cm.
The total number of cubes placed on the table is 125. Therefore, the total volume of all the smaller cubes combined is 1 cm^3 * 125 = 125 cm^3.
To find the length of the edge of the solid cube, we need to find the cube root of 125 cm^3.
The cube root of 125 is 5. This means that if we take a cube with a side length of 5cm and place smaller cubes of side length 1cm on each face, it will result in a solid cube.
Therefore, the correct answer is A) 5 cm.