Surface Area of Cube, Cuboid and Cylinder

Curved surface area (in square units) of a cylinder whose base diameter $\text{'}d\text{'}$units and height $\text{'}h\text{'}$ units is.

The diagram shows a tin of beans. 
A label is cut to the exact size of the curved surface of the tin and glued on to the tin.
Labels are cut from a rectangular piece of paper that measures $35 cm$ by $120 cm$.
What is the maximum number of labels that can be cut from one piece of paper? Show all your working.

Find the cost of painting theall round outer surface of a box with lid $60$ cm long, $40$ cm wide and $30$ cm high at $50$p per $20c{m}^2.$

A box with lead is in the form of a cuboid its length, breadth and height are respectively $1 \mathrm{m} 30 \mathrm{cm}, 75 \mathrm{cm}$ and $20 \mathrm{cm}$. Find the cost (without $₹$ symbol) of painting its outside at the rate of $₹4$ per ${\mathrm{cm}}^2$.

Find the surface area of a wooden box whose shape is of a cube of side is$15\mathrm{cm}$.

What is curved surface area?

Find the surface area of a closed cardboard box of length $40 \text{cm}$, breadth $30 \text{cm}$  and height $10 \text{cm}$.

An oil tin is cuboidal in shape with dimensions $45 cm \times 36 cm \times 25 cm$.

Find :

(i) Area of the tin sheet required to make $15$ such tins.

(ii) Cost of the tin sheet for making these tins at the rate of $₹25$ per square metre.

An cubical box of wood having outer edge of measure $2.5 \mathrm{m}$ and thickness $10 \mathrm{cm}$ is to be painted outside and inside by red and blue colour respectively. If the rate of painting with red and blue colours are $₹45$ and $₹35$ respectively per metre square. Find the total cost of painting the box.

Find $\mathrm{CSA}$ of cylinder whose diameter is $6 \mathrm{cm}$ and height is $10 \mathrm{cm}$.

What is the difference between Total surface area and Lateral surface area.

The diameter of a cylindrical roller $9.1 \mathrm{cm}$, and it is $2.8 \mathrm{m}$ long. Find the area it will cover in $30$ revolutions.

Total surface area of a cube is $2646 \mathrm{sq}.\mathrm{cm}$. Find the height of the cube.

In a building, there are $20$ cylindrical pillars. The radius of each pillar is $0.42 \mathrm{m}$ and the height is $3 \mathrm{m}$. If the total cost of painting the curved surface area of all pillars at the rate of $₹ 14 \mathrm{per} {\mathrm{m}}^2$ is $₹k$, then find the value of $k$ considering $\mathrm{\pi }=\frac{22}{7}$.

A company packages its milk powder in a cylindrical container whose base has a radius of $10.5 \mathrm{cm}$ and a height of $34 \mathrm{cm}$. The company places a label around the surface of the container. If the area of the label is $k {\mathrm{cm}}^2$, then find the value of $k$ considering $\mathrm{\pi }=\frac{22}{7}$.

A suitcase with measures $80 \mathrm{cm}\times 48 \mathrm{cm}\times 24 \mathrm{cm}$ is to be covered with a tarpaulin cloth. If $k$ metres of tarpaulin of width $96 \mathrm{cm}$ is required to cover $100$ such suitcases, then find the value of $k$.

Find the side of a cube (in $\mathrm{cm}$) whose surface area is $600 {\mathrm{cm}}^2$.

Rukhsar painted the outside of the cabinet of measure $1 \mathrm{m}\times 2 \mathrm{m}\times 1.5 \mathrm{m}$. How much surface area $\left({\mathrm{m}}^2\right)$ did she cover if she painted all except the bottom of the cabinet?

A closed cylindrical tank of radius $7 \mathrm{m}$ and height $3 \mathrm{m}$ is made from a sheet of metal. How much sheet of metal $\left({\mathrm{m}}^2\right)$ is required? [$\mathrm{\pi }=\frac{22}{7}$]

A swimming pool is to be made with the walls having blue tiles and the floor having white tiles. The breadth, length and depth of the pool are $4 \mathrm{m}, 8 \mathrm{m} \mathrm{and} 2 \mathrm{m}$, respectively. Find the number of blue and white tiles required if they cover a surface area of $1.5 \mathrm{sq}. \mathrm{m}$ and $2 \mathrm{sq}. \mathrm{m}$, respectively.