Question : The length of each side of a cube is 4 cm. What is the volume of the cube?

Option 1: 128 cm³

Option 2: 48 cm³

Option 3: 64 cm³

Option 4: 32 cm³

Question : The volume of a cube is 512 cm³. What is the length of each side of this cube?

Option 1: 9 cm

Option 2: 8 cm

Option 3: 6 cm

Option 4: 12 cm

Question : If the volume of a cube is 5832 cm³, then what is the lateral surface area of this cube?

Option 1: 1024 cm²

Option 2: 384 cm²

Option 3: 576 cm²

Option 4: 1296 cm²

Question : Two cubes of iron whose edges are 7 cm and 11 cm are melted and formed into a single cube. Find the volume of the new cube formed.

Option 1: 1881 cm³

Option 2: 1674 cm³

Option 3: 1444 cm³

Option 4: 1221 cm³

Question : The Largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere?

Option 1: $\frac{792}{7}$ cm³

Option 2: $\frac{144}{7}$ cm³

Option 3: $\frac{133}{3}$ cm³

Option 4: $\frac{144}{3}$ cm³