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 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 : 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 base of a right prism is an equilateral triangle whose side is 10 cm. If the height of this prism is $10 \sqrt{3}$ cm, then what is the total surface area of the prism?

Option 1: $125 \sqrt{3}$ cm²

Option 2: $325 \sqrt{3}$ cm²

Option 3: $150 \sqrt{3}$ cm²

Option 4: $350 \sqrt{3}$ cm²