Surface Area of Solids

The length, breadth and height of a cuboid are in the ratio $3 : 4 : 6$ and its volume is $576 {\mathrm{cm}}^3$. Find the whole surface area of the cuboid.

The sum of length, breadth and height of a cuboid is $19 \mathrm{cm}$ and its diagonal is $11 \mathrm{cm}$. Find the surface area of the cuboid.

The paint in a certain container is sufficient to paint an area equal to$9.375 {\mathrm{m}}^2$. How many bricks of dimensions $22.5 \mathrm{cm}\times 10 \mathrm{cm}\times 7.5 \mathrm{cm}$ can be painted out of this container?

Two cubes have volumes in the ratio $1:27$. The ratio of the area of the face of one to that of the other is _____

What are the dimensions (length, breadth and height respectively) of a cuboid with volume $720 {\mathrm{cm}}^3$ , surface area $484 {\mathrm{cm}}^2$ and the area of the base $72 {\mathrm{cm}}^2$?

If the length of the diagonal of a cube is $8\sqrt{3} \mathrm{cm}$, then its surface area is _____

If each edge of a cube is increased by $50\%$, the percentage increase in surface area is -

The length of a room is $\frac{4}{3}$ times its breadth. The total area of the $4$ walls of this room is $\frac{28}{15}$ times the area of the floor of the room. What is the ratio between the height of the room to the length of room?

The sum of length, breadth and depth of a cuboid is $19 \mathrm{cm}$, and its diagonal is $5\sqrt{5} \mathrm{cm}$. Its surface area would be:

The sum of length, breadth and depth of a cuboid is $19 \mathrm{cm}$ and its diagonal is $5\sqrt{5} \mathrm{cm}$. What will be its surface area?

If the side of a cube is increased by $100\%$, then by what percentage is the surface area of the cube increased?

A room is $6\mathrm{m}$ long, $5 \mathrm{m}$ broad and $4 \mathrm{m}$ high. If all the walls are to be covered with paper $50 \mathrm{cm}$ wide, the length of the paper is:

If the volumes of two cubes are in the ratio $27:64$, then the ratio of their surface areas is ________.

The height of a room is $\frac{1}{4}$ of the sum of length and breadth and the cost of painting its walls at the rate of $50 \mathrm{p}$ per ${\mathrm{m}}^2$  is $₹400$. Find its height?

 A cylinder of diameter $d$ and height $h$ then its curved surface area in square units is

Find the total surface area of a cube with side length $6 \mathrm{cm}$.

Find the lateral surface area of a cuboid with dimensions length $=3 \mathrm{cm}$, breadth $=2 \mathrm{cm}$ and height $=5 \mathrm{cm}$.

Find the lateral surface area of a cuboid with dimensions length $=2 \mathrm{m}$, breadth $=4 \mathrm{m}$ and height $=5 \mathrm{m}$.

The surface area of a cube is $13.5 {\mathrm{m}}^2$. What is the length of its diagonal?

A right circular cylinder is just enclosed a sphere of radius $r$, then :