Surface Area of Cube, Cuboid and Cylinder

Find the total surface area of the following cylinders.( Take $\mathrm{\pi }=\frac{22}{7}$)

Total surface area of a right circular cylinder is $2\pi \times$ _____$\left(h+r\right)$. ( consider a cylinder with radius $\mathrm{r}$ and height $\mathrm{h}$)

The lateral surface area of a hollow cylinder is $4224 \mathrm{c}{\mathrm{m}}^2$. It is cut along its height and formed a rectangular sheet of width $33 \mathrm{c}\mathrm{m}$. If the perimeter of the rectangular sheet is $k \mathrm{cm}$, find $k$.

Dawood is painting the walls and ceiling of a cuboid hall with length, breadth and height of $15 \mathrm{m},10 \mathrm{m}$ and $7 \mathrm{m}$ respectively. From each can of paint $100 {\mathrm{m}}^2$ of area is painted. How many cans of paint will she need to paint the room?

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

Note that lateral surface area of a cylinder is the $\mathrm{Circumference} \mathrm{of} \mathrm{the} \mathrm{base} \times \mathrm{height} \mathrm{of} \mathrm{the} \mathrm{cylinder}$. Can we write lateral surface area of a cuboid as $\mathrm{Perimeter} \mathrm{of} \mathrm{the} \mathrm{base} \times \mathrm{height} \mathrm{of} \mathrm{the} \mathrm{cuboid}$? 

Find the surface area of cube $\mathrm{A}$ and lateral surface of cube $\mathrm{B}$.

Find the total surface area of the following cuboids.

Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?

There are two cuboid boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?

A company packages its milk powder in cylindrical container whose base has a diameter of $14 \mathrm{cm}$ and height $20 \mathrm{c}\mathrm{m}$. Company places a label around the surface of the container (as shown in the figure). If the label is placed $2 \mathrm{c}\mathrm{m}$ from top and bottom and the area of the label is $k {\mathrm{cm}}^2$, find $k$.

A road roller takes $750$ complete revolutions to move once over to level a road. If the diameter of a road roller is $84 \mathrm{c}\mathrm{m}$ and length is $1 \mathrm{m}$ and its area $k {\mathrm{m}}^2$, find $k$.

A closed cylindrical tank of radius $7 \mathrm{m}$ and height $3 \mathrm{m}$ is made from a sheet of metal. If the area of the sheet metal used is $k {\mathrm{m}}^2$, then find $k$.

If the side of a cube whose surface area is $600$ $\mathrm{c}{\mathrm{m}}^2$ is $k \mathrm{cm}$, then find $k$.

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