How many cubes,each of surface area $24\, cm^{2}$,can be made out of a cube of edge measure $1\, m$?

$A$ sphere is melted to form a cylinder whose height is $4 \frac{1}{2}$ times its radius. What is the ratio of the radius of the sphere to the radius of the cylinder?

$A$ right circular cylinder is circumscribing a hemisphere such that their bases are common. The ratio of their volumes is

The cross section of a canal is in the shape of an isosceles trapezium which is $4 \ m$ wide at the bottom and $5 \ m$ wide at the top. If the depth of the canal is $2 \ m$ and it is $120 \ m$ long,what is the maximum capacity of this canal? (in $m^3$)

$A$ semicircular sheet of metal of diameter $28 \, cm$ is bent into an open conical cup. The capacity of the cup (taking $\pi = \frac{22}{7}$) is (in $cm^3$):

The diagonal of a cubical box is $\sqrt{300} \text{ cm}$. Find out the surface area.