Question : If the length of the diagonal of a cube is $7 \sqrt{3} \mathrm{~cm}$, then the surface area of the cube is_____.

Option 1: 216 cm²

Option 2: 256 cm²

Option 3: 284 cm²

Option 4: 294 cm²

Question : Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is $6 \sqrt{3} \mathrm{~cm}$.

Option 1: 509 cm²

Option 2: 504 cm²

Option 3: 516 cm²

Option 4: 512 cm²

Question : The height of an equilateral triangle is $7 \sqrt{3}$ cm. What is the area of this equilateral triangle?

Option 1: $36 \sqrt{3}$ cm²

Option 2: $25 \sqrt{3}$ cm²

Option 3: $49 \sqrt{3}$ cm²

Option 4: $32 \sqrt{3}$ cm²

Question : If the surface area of a cube is 5046 cm², then the volume of the cube is:

Option 1: 26189 cm³

Option 2: 25145 cm³

Option 3: 22812 cm³

Option 4: 24389 cm³

Question : The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?

Option 1: 11.50 cm³

Option 2: 1.15 cm³

Option 3: 11.55 cm³

Option 4: 115 cm³