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Question 1:

If the numerical value of total surface area is equal to the volume of the cube, then find the diagonal of cube?

6 \sqrt{3}

12 \sqrt{3}

9 \sqrt{3}

8 \sqrt{3}

Question 2:

How many small cubes, each of \( 72 \mathrm{~cm}^{2} \) surface area can be formed from the material obtained by melting a largest cube if \( 648 \mathrm{~cm}^{2} \) surface area?

20

30

15

27

Question 3:

If total surface area of a cube \( 1176 \mathrm{~cm}^{2} \) then find the volume of cube?

\( 2744 \mathrm{~cm}^{3} \)

\( 4096 \mathrm{~cm}^{3} \)

\( 2352 \mathrm{~cm}^{3} \)

\( 2730 \mathrm{~cm}^{3} \)

Question 4:

Volumes of two cubes are in the ratio of \( 1: 4 \). Find the ratio of their surface areas?

\( 1: 2 \)

\( 2: 1 \)

\( 1: 2 \sqrt[3]{2} \)

\( 1: 2 \sqrt{2} \)

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