The perimeter of each face of a cube is $32 \mathrm{cm}$. The lateral surface area of the cube is $k {\mathrm{cm}}^2$. Find $k$.

If each side of a cube is increased by $50\%$. The percentage increase in its surface area is $k\%$. Find $k$.

Keya needs to cover a wooden block with a chart paper for her project. If the length, breadth and height of the box are $80 \mathrm{cm}$, $40 \mathrm{cm}$ and $20 \mathrm{cm}$ respectively, how many square sheets of paper of side $40 \mathrm{cm}$ would she require?

The length, breadth and height of a cuboid are in the ratio $4:2:1$ and its total surface area is $1372 {\mathrm{m}}^2$. Find the dimensions of the cuboid.

The dimensions of a cuboidal tin are $30 \mathrm{cm}\times 40 \mathrm{cm}\times 50 \mathrm{cm}$. It is given that the cost of tin sheet is $₹20$ per $\mathrm{sq}.\mathrm{m}$. If the cost of tin for making $20$ such tins is $₹k$, find $k$.

A box made of sheet metal costs $₹2820$ at the rate of $₹30$ per ${\mathrm{m}}^2$. The box is $5 \mathrm{m}$ long and $4 \mathrm{m}$ wide. Its height is $k \mathrm{m}$. Find $k$.

Four cubes each of side $3 \mathrm{cm}$ are joined end to end. If the surface area of the resulting cuboid is $k {\mathrm{cm}}^2$, then find $k$.

Aditya has built a cubical water tank with lid for his house with each outer edge $1.5 \mathrm{m}$ long. He gets the outer surface of the tank excluding the base covered with square tiles of $25 \mathrm{cm}$. If he spends $₹k$ for tiles where the cost of tiles is $₹480$ per dozen, then find the value of $k$ as final answer.