A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. Find the difference between the surface areas (in cm²) of two solids.

$V_1, V_2, V_3$ and $V_4$ are the volumes of four cubes of side lengths x cm, 2x cm, 3x cm and 4x cm respectively. The following statements regarding these volumes are given below.

(A) $V_1 + V_2 + 2V_3 < V_4$

(B) $V_1 + 3V_2 > V_3 + V_4$

(C) $2(V_1 + V_3) + V_2 = V_4$

(D) $V_1 + 4V_2 + V_3 < V_4$

Which of these statements is/are correct?

Choose the correct answer from the options given below:

If the outer surface area of cylinder is pointed @ Rs 0.5/cm^2, then the total cost of painting is

The ratio of the radius and height of a cone is 3:4. Its volume is $37\frac{5}{7}$ cm³. The slant height of the cone is

The number of iron balls, each 1 cm in radius, that can be made from an iron sphere of diameter 12 cm is:

64 solid iron spheres of radius r are melted to form a sphere of radius R. Find R : r.

A cube has a total surface area of 384 $cm^2$. What is the volume of the cube?