The weight of a solid cube of iron of $1 \, cm$ edge is $17 \, gm$. What should be the weight of a similar cube of edge $3 \, cm$? (in $gm$)

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

$A$ solid cylinder has a base radius of $14\, cm$ and a height of $15\, cm$. Identical small cylinders are cut from each base as shown in the figure. The height of each small cylinder is $5\, cm$ and the radius is $7\, cm$. What is the total surface area (in $cm^2$) of the remaining part?

The height of a circular cylinder is increased $6$ times and the base area is decreased to $\frac{1}{9}$ of its value. The factor by which the lateral surface area of the cylinder increases is

Find out the cost of the log of wood measuring $15 \frac{1}{2} \text{ m}$ by $2 \frac{3}{4} \text{ m}$ by $1 \frac{1}{3} \text{ m}$ at ₹ $45$ per $\text{cm}^3$ (in ₹).

$A$ right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is