Question 1 :
A metallic cuboid of dimensions $36$ cm $\times$ $18$ cm $\times $ $11$ cm is melted to form lead balls each of diameter $3$ cm. Find the number of such lead balls formed<br/>
Question 2 :
A 10 cm deep well with diameter 6 m is dug and the earth spread even to form a platform 22 cm x 10 cm X x cm The value of x is
Question 3 :
A solid iron cuboidal block of dimensions $4.4\ m \times 2.6\ m\times 1\ m$is recast into a hollow cylindrical pipe of internal radius $30\ cm$and thickness $5\ cm$. Find the length of the pipe.<br>
Question 4 :
If the numerical value of the surface area of a cube is equal to the numerical value of the volume of the cube, then the numerical value of area of each face of the cube is<br/>
Question 5 :
The length of the side of a rhombus is 10 units and its diagonals differ by 4. The area of the rhombus is
Question 6 :
A rectangular box has a volume of $24$. Find the new volume of the box after reducing its length to one-half and tripling its height.
Question 7 :
What is the area of a regular hexagon with sides of 2.5 in and apothem is 12 in?<br>
Question 8 :
What is the total surface area of a cube whose side is $0.5 $ cm?
Question 9 :
The breadth of a cuboid is twice its height and half its length. If the volume of the cuboid is $\displaystyle 512\:m^{3}$, then what is the length of the cuboid?
Question 10 :
The number of integral points (integral point means both the coordinates should be integers) exactly in the interior of the triangle with vertices $(0, 0)$, $(0, 21)$ and $(21, 0)$ is
Question 11 :
A brick whose length, breadth and height are 5m, 6m, and 7m respectively. Find the surface area of the brick.
Question 12 :
The areas of three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to
Question 13 :
In a building there are $10$ cylindrical pillars . The radius of each pillar is $63$ cm and height is $15$ m. Find curved surface area of four pillars.
Question 14 :
If the vertices of rhombus are (3, 0), (4, 5), (-1,4) and (-2, -1) taken in order then area of. rhombus is :
Question 15 :
The percentage increase in the surface area of a cube when  each side is increased to $\dfrac{3}{2}$ times  the original length is<br/>
Question 16 :
How many $3\ meter$ cubes can be cut from a cuboid measuring $18\ m \times 12\ m\ \times 9\ m$?
Question 17 :
If the side of a regular hexagon is $6$ cm, then its area will be :<br/>
Question 18 :
If the sheet of dimension $ 10\: cm \times 2 \: cm$ is rolled along the length to form a right circuar cylinder, then the volume of the cylinder in $cm^3$ is<br/>
Question 19 :
The dimensions of a cuboid ice-cube are $50$ cm $\times 30$ cm $\times 20$ cm. Find its weight in kg. If weight of $1000$ <br> $ cm^3$ is $900$ gm.
Question 20 :
The height of a right circular cylinder is $14 cm$ and its curved surface surface is $704 sq.cm$. Then its volume is :
Question 21 :
$2$ cm of rain has fallen on a square kilometer of land. Assuming that $50 \%$ of the rain drops could have been collected and contained in a pool having a $100$ m $\times$ $10$ m base, by what level would the water level in the pool have increased? 
Question 22 :
One of the diagonals of a rhombus is double the other diagonal. Its area is $25sq.cm$. The sum of the diagonals is:
Question 23 :
The volume of a solid cubical box whose surface area is $600 cm^2$ is
Question 24 :
If the area of one face of the cube is $1.5$ times its perimeter, the volume $\displaystyle \left ( \text{in} \ \text{cm}^{3} \right )$ of the cube is 
Question 25 :
The area (in square units) of a regular hexagon of side of which is $2$ units each, is<br/>
Question 26 :
If a solid right circular cylinder made of iron is heated to increase its radius and height by 1 p.c. each, then the volume ofthe solid is increased by
Question 27 :
The diagonals of a rhombus are $8$ cm and $10$ cm. Then the area  of the rhombus is<br/>
Question 28 :
What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0.25 cm thick and 15 cm long ?
Question 29 :
If oil is transferred from rectangular container of dimension $4$ meters by $9$ meters by $10$ meters into a cylindrical container of diameter $12$ meters, then the minimum length for a cylindrical container that will hold all of the oil is
Question 30 :
Simplify ${{\left( 5{{m}^{2}} \right)}^{2}}\div {{\left( 25m \right)}^{3/2}}\times {{\left( 5{{m}^{1/2}} \right)}^{3}}$ and find the power of $m$ to closest integer.
Question 31 :
A metallic sheet is of the rectangular shape with dimensions $48\ cm\times 36\ cm$. From each one of its corners, a square of $8 \ cm$ is cutoff. An open box is made of the remaining sheet. Find the volume of the box.
Question 32 :
Each edge of a cube is increased by 50% The percentage increase in the surface area of the cube is
Question 33 :
Calculate the area of a regular pentagon with sides of 10 cm and apothem is 10 cm.<br>
Question 34 :
Each side of a cube is increased by $50$%. Then the surface area of the cube increases by ?
Question 35 :
The diameter of a roller is $84cm$ and its length is $120cm$. It takes $500$ complete revolutions to move once over a level a playground. Find the area of the playground in ${m}^{2}$.
Question 36 :
The diagonals of a rhombus are of length 10 cm and 20 cm. Find its area.
Question 37 :
If the side of a cube is 8.004 cm, then its approximate volume is
Question 38 :
A rectangular sheet of paper 22 cm long and 10 cm broad can be curved to form the lateral surface area of a right circular cylinder in two ways Then the difference between the volumes of the two cylinders thus formed is
Question 39 :
Find the area of a regular hexagon with sides of 0.5 mm and apothem is 10 mm.<br>
Question 40 :
If the perimeter of a rhombus is $4a$ and the lengths of the diagonals are $x$ and $y$, then its area is
Question 41 :
Find the volume of a cuboid of length $20$ cm, breadth $15$ cm and height $10$ cm. <br/>
Question 42 :
In a pentagon $ ABCDE $, $ DP $is drawnperpendicular to $ AB $and is perpendicular to $ CE $also at point $ Q $. If $ AP = BP = 12 $cm, $ EQ = CQ = 8 $cm, $ DE = DC = 10 $cm and $ DP = 18 $cm, find the area of the pentagon $ABCDE $.
Question 43 :
State True or False.<br/>The area of a regular hexagon of side $a$ is the sum of the areas of the five equilateral triangles with side $a.$<br/>
Question 44 :
The radius of the base and the height of a right circular  cylinder are each increased  by $10\%$, then the volume of the cylinder is increased by <br/>
Question 45 :
How many spherical bullets can be made out of a lead cylinder $15$cm high and with base radius $3$cm, each bullet being $5$mm in diameter?
Question 46 :
Total surface area of a cube of 2 centimetre side is
Question 47 :
The volume of a cylinder is $550{cm}^{3}$. If its radius is $5cm$, then its height is ................ $cm$.
Question 48 :
Given : $\displaystyle V=\pi r^2h$ and $\displaystyle A=2\pi r^2+2\pi rh$.<br/>Find $V$ in terms of $A$ and $r.$<br/>
Question 49 :
What is the area of a parallelogram with vertices at $(0, 0), (2, 3), (5, 0)$, and $(7, 3)$?
Question 50 :
If the diagonals of a rhombus are 24 dm and 10dm, then the perimeter of the rhombus will be