Mensuration 3D

The ratio between the curved surface area and the total surface area of right circular cylinder is$1:2$ . If the total surface area is $616 {\mathrm{cm}}^2$, the volume of cylinder is _____.

A boat having a length $3\mathrm{m}$ and breadth $2\mathrm{m}$ is floating on a lake. The boat sinks by $1\mathrm{cm}$ when a man gets on it. The mass of the man is_____.

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 volume of rectangular box whose length, breadth and height is $2p, 4q, 8r$, respectively is:

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?

$1496 {\mathrm{cm}}^3$ of metal is used to cast a pipe of length $28 \mathrm{cm}$. If the internal radius of the pipe is $8 \mathrm{cm}$, the outer radius of the pipe is:

A cone, a hemisphere and a cylinder stand on same base and have same height. The ratio of their volumes is _______.

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 $72 {\mathrm{cm}}^2$?

The volume of a conical tent is $1232 {\mathrm{m}}^3$ and the area of its base is$154 {\mathrm{m}}^2$. Find the length of the canvas required to build the tent if the canvas is $2 \mathrm{m}$ in width. (Take $\pi =\frac{22}{7}$)

The number of iron rods, each of length $7 \mathrm{m}$ and diameter that can be made out of $0.88 {\mathrm{m}}^3$ of iron, is _____. $\left(\pi =\frac{22}{7}\right)$

$1$$m^3$ is ______________ ?

A $4 \mathrm{cm}$ cube is cut into $1 \mathrm{cm}$ cubes. What is the percentage increase in the surface area after such cutting?

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

A field is $125 \mathrm{m}$ long and $15 \mathrm{m}$ wide. A tank $10 \mathrm{m}\times 7.5 \mathrm{m}\times 6\mathrm{m}$ was dug in it and the earth. Thus dug out was spread equally on the remaining field. The level of the field thus raised is equal to which one of the following?

If both the radius and height of a cylinder are increased by $20\%$, its volume will be increased by _____

A hall is $15 \mathrm{m}$ long and$12 \mathrm{m}$ broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, the volume of the hall in ${\mathrm{m}}^3$ is _____.

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