The length, breadth and height of cuboid are in the ratio $6:5:3$ . If its total surface area is $504 {\mathrm{cm}}^2$ , find its volume,

The external dimensions of on open wooden box are $65 \mathrm{cm} , 34 \mathrm{cm} \text{and} 25 \mathrm{cm}$. If the box is made up of wood $2 \mathrm{cm}$ thick. Find the capacity of the box and the volume of wood used to make it.

The Curved surface area and the volume of a toy, cylindrical in shape, are $132 {\mathrm{cm}}^2$  and  $462 {\mathrm{cm}}^3$  respectively. Find its diameter and its length.

The floor of a rectangular hall has a perimeter $250 \mathrm{m}$. If the cost of painting the four walls at the rate of Rs.$10 \mathrm{per}\mathrm{ }{\mathrm{m}}^2$  is Rs. $15000$. Find the height of the Hall.

The length of a Hall is double its breadth. Its height is $3 \mathrm{m}$,  the area of its four walls (including doors and window)is $108 {\mathrm{m}}^2,$ find its volume.

A Solid Cube of side $12 \mathrm{cm}$  is cut into $8$  identical Cube. What will be the side of the new Cube. Also,  find the ratio between the surface area of the original Cube and the total Surface area of all the Small Cubes formed.

The diameter of a garden roller is $1.4 \mathrm{m}$ and it is $2 \mathrm{m}$ long. find the maximum area covered by it in $50$ revolutions?