The volume of a cube whose edge is 25 cm is ______.

Option 2 is correct. Volume of a cube = l³ = 25 × 25 × 25 = 15625 cm³

If the volume of a cube is 216 m³, then its edge is ______.

Option 4 is correct. Volume of a cube = l³ 216 m³ = l³ so, l = ∛216 = 6 m

The volume of a cube is 729 cm³. Its total surface area is _______.

Let the edge of the cube = x So, x³ = 729 i.e., x = ∛729 = 9 cm Total surface area of cube = 6(side)² = 6(9)² = 6(81) = 486 cm² So, option 3 is correct.

What will be the change in the volume of a cube when its side becomes 1/10 times the original side?

Let the original side of a cube = x Volume of the cube = x³ Now, let the side of the cube become 1/10 times the original side, i.e., side of the new cube = x/10 Volume of the new cube = (x/10)³ = x³/1000 Ratio of volume of new cube to the volume of original cube: Volume of new cube/Volume of original cube = (x³/1000) / (x³) = 1/1000 i.e., Volume of new cube = Volume of original cube/1000 Therefore, when the side of a cube becomes 1/10 times the original side, then Volume becomes 1/1000 times So, option 3 is correct.

How many cubes each of volume 9 cm³ are required to fill a cubical container of side 18 cm?

Volume of cubical container = l³ = 18³ = 5832 cm³ Volume of each small cube = 9 cm³ Number of boxes of volume 9 cm³ that can be accomodated in the container = 5832 cm³ / 9 cm³ = 648 So, Option 1 is correct.