Final answer:
To find the volume of a cube, we first need to find the length of one side. By dividing the perimeter by 4, we can find the length of one side. Then, we can calculate the volume of the cube by cubing the length of one side. So, the correct answer is (A) 125cucm.
Step-by-step explanation:
To find the volume of a cube, we need to know the length of one side of the cube. In this case, the perimeter of one of the faces of the cube is given as 20 cm. The perimeter of a square (which is the shape of a face of the cube) is equal to 4 times the length of one side. So, we can find the length of one side by dividing the perimeter by 4: 20 cm / 4 = 5 cm.
Now that we know the length of one side, we can calculate the volume of the cube. The volume of a cube is found by cubing the length of one side. So, the volume of this cube is: 5 cm ³ = 125 cm³.
Therefore, the correct answer is (A) 125 cm³.