Monicaa Abhijit Solutions for Chapter: Mensuration-II (Solid Figures), Exercise 2: EXERCISE 18.2

The perimeter of a floor of a rectangular hall is $60 \mathrm{m}$ and its height is $3 \mathrm{m}.$ Find the cost of painting its four walls at the rate of $₹20$ per ${\mathrm{m}}^2$.

A cuboid has total surface area of $60 {\mathrm{m}}^2$ and lateral surface area of $40 {\mathrm{m}}^2$. Find the area of its base.

The length of a hall is $22 \mathrm{m}$ and width is $18 \mathrm{m}$. The sum of the areas of the floor and the flat roof is equal to the sum of the area of the four walls. Find the height and volume of the hall.

A solid cube is cut into two cuboids of equal volumes. Find the ratio of the total surface area of the given cube and that of one of the cuboids.

The dimensions of a rectangular box are in the ratio of $2 : 3 : 4$ and the difference between the cost of covering it with a cloth at the rate of $₹10$ and $₹11$ per ${\mathrm{m}}^2$ is $₹1300$ . Find the dimensions of the box.

A rectangular swimming pool $30 \mathrm{m}$long and $20 \mathrm{m}$wide and $1.5 \mathrm{m}$ deep is to be tiled. If each tile is $50 \mathrm{cm} \times 50 \mathrm{cm}$. How many tiles will be required?

A log of wood of dimensions $2 \mathrm{m}\times 20 \mathrm{cm}\times 10 \mathrm{cm}$is cut into small blocks of $10 \mathrm{cm} \mathrm{x} 5 \mathrm{cm} \mathrm{x} 4 \mathrm{cm}.$ How many blocks do we get? What will be the total surface area of all these blocks?

The dimensions of a building are $30 \mathrm{m} \mathrm{x} 20 \mathrm{m} \times 40 \mathrm{m}$. If the walls, floor and roof of this building are to be repaired, the contractor asks for $₹50$ per square metre. What will be the estimate of the contractor for this work?