Find the surface area and volume of a cube whose edge is 9dm. How many times will the surface area

Find the surface area and volume of a cube whose edge is 9dm. How many times will the surface area decrease and how many times the volume if the edge of the cube is reduced by three times.

1. Determine the area of ​​one face of the cube:

9 x 9 = 81 dm ^ 2;

2. Determine the surface area of ​​the cube:

81 x 6 = 486 dm ^ 2;

3. Determine the volume of the cube:

9 x 9 x 9 = 729 dm ^ 3;

4. Determine the length of the edge of the cube after reduction:

9: 3 = 3 dm;

5. Determine the surface area of ​​the cube after reduction:

(3 x 3) x 6 = 9 x 6 = 54 dm ^ 2;

6. Determine the volume of the cube after reduction:

3 x 3 x 3 = 27 dm ^ 3;

7. Determine how many times the surface area of ​​the cube has decreased:

486: 54 = 9 p;

8. Determine how many times the volume of the cube has decreased:

729: 27 = 27 p.

Answer: the surface area of ​​the cube has decreased 9 times and the volume of the cube has decreased 27 times.