Surface Area of Solids

A cylinder is a three-dimensional shape consisting of two _____ circular bases, joined by a curved surface.

What is the volume of a cylindrical shape water container, that has a height of $7\mathrm{cm}$ and diameter of $10\mathrm{cm}$?

Calculate the cost required to paint an aquarium which is in cube shape having an edge length of 10m. If the painting cost of an aquarium is INR 3/m2.

Find the total surface area and lateral surface area of a cuboid having length 4 cm, breadth 6 cm, and height 3 cm.

The lateral surface area of a cube of side $12 \mathrm{cm}$ is

Samuel has given a cylinder of surface area 1728π square units. Find the height of the cylinder if the radius of the base of the circle is 24 units.

The radius of a cylinder is 5 in. Find the surface area of the cylinder if the height of the cylinder is 15 in. (Take pi as 3.14)

Find the length of the face diagonal of a cube when the side measures 6 units. Use the face diagonal formula of a cube. 

Calculate the length of the diagonal of a cube whose each side measures $5$ units.

If the sidewall of a cubic structure is 5m, then find the Total Surface Area?

What are the properties of a cuboid?

If the height of the cylinder is $a cm$ with the total surface area of $200 c{m}^2$ and radius is $2 cm$, find the value of $a$.

Find the surface area of a solid cylinder with radius $2.5 \mathrm{cm}$ and height $7.3 \mathrm{cm}$.             [Enter the value excluding units and up to three significant figures]

The walls, floor and roof of a room are to be plastered. The length, breadth and height of the room are $4.5 \mathrm{m}, 3 \mathrm{m}$ and $3.5 \mathrm{m}$ respectively, if the area to be plastered is $k {\mathrm{m}}^2$, then find the value of $k$.

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?

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 $k$.

Hameed has built a cubical water tank with a lid for his house, with each other edge $1.5 \mathrm{m}$ long. He gets the outer surface of the tank excluding the base, covered with square tiles of side $25 \mathrm{cm}$. Find how much he would spend in rupees for the tiles, if the cost of tiles is $₹ 360$ per dozen.

Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with colored paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as $80 \mathrm{cm}, 40 \mathrm{cm}$ and $20 \mathrm{cm}$ respectively. How many square sheets of paper of side $40 \mathrm{cm}$ would she require?

Total surface area of a Cube is a $0.96 {\mathrm{m}}^2$. Then, each side of the square face of the Cube measures _____ $\mathrm{m}$.

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