Surface Area of Solid Shapes

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 _____

The curved surface area of a right circular cylinder of radius $2 \mathrm{cm}$ is $264 {\mathrm{cm}}^2$. Find the height of the cylinder.

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 _____

The height of a cone is $21 \mathrm{cm}$ and radius of its base is $28 \mathrm{cm}$. Find its total surface area.

What is the area of the copper sheet required to prepare a cone of base radius $30 \mathrm{cm}$ with the height $40 \mathrm{cm}?$

The diameter and slant height of a conical tomb are $28 \mathrm{m}$ and $50 \mathrm{m}$ respectively. The cost of whitewashing of its curved surface at the rate of $80$ paise per square metre is:

The curved surface area of a right circular cone of radius $14 \mathrm{cm}$ is $440 {\mathrm{cm}}^2$. What is the slant height of the cone?

If is the radius of the base of a cone be and $7 \mathrm{cm}$ its curved surface area be $550 {\mathrm{cm}}^2$, then the volume of the cone is __________

An oil funnel made of tin sheet consists of a $10 \mathrm{cm}$ long cylindrical portion attached to a frustum of a cone. If the total height is $22 \mathrm{cm}$, diameter of the cylindrical portion is $8 \mathrm{cm}$ and the diameter of the top of the funnel is $18 \mathrm{cm}$, find the area of the tin sheet required to make a funnel.

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?

A solid cylinder of height $9 \mathrm{m}$ has its curved surface area equal to one-third of the total surface area. What is the radius of the base?

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 volume of a rectangular block of stone is $10368 {\mathrm{dm}}^2$, its dimensions are in the ratio of $3 : 2 : 1$. If its entire surface is polished at $2$ paise per ${\mathrm{dm}}^2$, then what is the total cost(in rupees)?

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?

The curved surface of a solid cylinder is $\frac{2}{3}$ of its total surface and total surface is $231 {\mathrm{m}}^2$, then the volume of cylinder is _____