Solid Figures in Geometry

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.

If the volume and the surface area of a sphere are numerically equal, them the numerical value of then radius of the sphere is _____.

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.

If the radius of a sphere is increased by $2 \mathrm{m}$, its surface area is increased by $704 {\mathrm{m}}^2$. What is the radius of the original sphere? (Use $\pi =\frac{22}{7}$ )

What will be the volume of a right triangular prism if the area of its base is $36 {\mathrm{cm}}^2$ and height is $5 \mathrm{cm}$?

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:

Base of a right angle pyramid is a square, length of diagonal of the base is 24√2 m. If the volume of the pyramid is 2880 cu.m, its height 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.

Three metallic cubes whose edges are in the ratio $3:4:5$ are melt to from a single cube whose diagonal is $12\sqrt{3} \mathrm{cm}$. What are the lengths of the edges $(\mathrm{in} \mathrm{cm})$ of the three cubes?

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 material of cone is converted in to the shape of a cylinder of equal radius. If height of the cylinder is $9 \mathrm{cm}$, the height of the cone is _____

Base of right prism is$6 {\mathrm{cm}}^2$. and its height is$7 \mathrm{cm}$ then volume_____.

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 _____. $\left(\pi =\frac{22}{7}\right)$

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 _____