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 : The length of the longest diagonal of a cube is $7 \sqrt{3}$ cm. Find its volume (in cm³).

Option 1: $343 \sqrt{3}$

Option 2: $49 \sqrt{3}$

Option 3: $334$

Option 4: $343$

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 sum of the length, breadth, and height of a cuboid is 20 cm. If the length of the diagonal is 12 cm, then find the total surface area of the cuboid.

Option 1: 364 cm²

Option 2: 256 cm²

Option 3: 356 cm²

Option 4: 264 cm²

Question : There is a wooden sphere of radius $6 \sqrt{3}$ cm. The surface area of the largest possible cube cut out from the sphere will be:

Option 1: $864$ cm²

Option 2: $464 \sqrt{3}$ cm²

Option 3: $462$ cm²

Option 4: $646\sqrt{3}$ cm²