Surface Area of a Cuboid and a Cube

Area of one surface of a cube is ${\mathrm{side}}^2$.

Each of the faces in a cube meets the other four faces.

The length, breadth, and height of a square are the same.

A cube is a solid figure, which has six number of rectangular faces.

A cuboid has $6$ rectangular faces.

A cuboid has $8$ rectangular faces.

A cuboid has $6$ square faces.

A cuboid has square faces.

The perimeter of the largest room in Priyanka's house is $250 \mathrm{m}$. The cost of white washing its four walls at the rate of $₹10/{\mathrm{m}}^2$ cost is $₹15000$. What is the height of the room?

The length and breadth of a hall are in the ratio $3:2$ and its height is $4.5$metres. The cost of decorating its walls (including doors and windows) at $₹4.50$ per square metre is $₹4050$. Find the length and breadth of the room.

The cost of painting the four walls of a room S is $₹ 350$ . The cost of painting a room three times in length, breadth and height of $S$ is $₹k$. The value of $k$ is

A room is $1.5$ times as long as it is broad. The cost of carpeting the room at Rs. $18/{\mathrm{m}}^2$ is Rs. $972$ and the cost of white-washing the four walls at the rate of Rs. $6/{\mathrm{m}}^2$ is Rs. $1080$. Find the dimensions of the room.

If the sum of the lateral surface area and total surface area of cuboid of length $80 \mathrm{cm}$, breadth $40 \mathrm{cm}$ and height $20 \mathrm{cm}$ is $k {\mathrm{cm}}^2$. 

Then find the value of $k$.

The dimensions of a room are $15 \mathrm{m}\times 10 \mathrm{m}\times 3 \mathrm{m}$. It has two doors each of dimension $(2 \mathrm{m}\times 1.5 \mathrm{m})$ and three windows, each of $(1.6 \mathrm{m}\times 0.75 \mathrm{m})$. If the cost of distempering the walls of the room from inside only at the rate of $₹6 \mathrm{p}\mathrm{e}\mathrm{r} {\mathrm{m}}^2$ is in the form of $₹k$, then find the value of $k$.

A room has dimensions of $8 \mathrm{m}\times 6 \mathrm{m}\times 4 \mathrm{m}$. Find the cost of painting the walls of the room if the price of paint is rupees $₹ 80 \mathrm{per} \mathrm{sq}.\mathrm{m}$.