If the area of a triangle is $150 \, m^{2}$ and the ratio of the base and the height is $3:4$,then find its height in $m$.

Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the new cuboid to the sum of the surface areas of the three cubes.

$A$ hollow spherical shell is made of a metal of density $4.9 \, g/cm^3$. If its internal and external radii are $10 \, cm$ and $12 \, cm$ respectively,find the weight of the shell. (Take $\pi = 3.1416$) (in $gm$)

The cost of fencing a circular plot at the rate of $Rs. 15$ per $m$ is $Rs. 3300$. What will be the cost of flooring the plot at the rate of $Rs. 100$ per square metre? (in $Rs.$)

$A$ cuboid of dimension $24 \text{ cm} \times 9 \text{ cm} \times 8 \text{ cm}$ is melted and smaller cubes of side $3 \text{ cm}$ are formed. Find how many such cubes can be formed?

In the given figure,$ABCD$ is a square. $EFGH$ is a square formed by joining the midpoints of the sides of $ABCD$. $LMNO$ is a square formed by joining the midpoints of the sides of $EFGH$. $A$ circle is inscribed inside $LMNO$. If the area of the circle is $38.5 \text{ cm}^2$,then what is the area (in $\text{cm}^2$) of square $ABCD$?