Q.1
The difference between the interior and exterior angles for a regular polygon at a vertex is 150 $°$ . Find the number of sides of this regular polygon ?

Q.2
If each face is of 3cm of a tetrahedrom then it’s volume is :

Q.3
The base of a solid right prism is triangular with sides 9 cm, 12 cm and 15 cm respectively. If the height of the prism is 5 cm then total surface area of the prism will be ?

Q.4
The areas of three faces of a cuboid are 12 cm ${}^{2}$ , 20 cm ${}^{2}$ & 15 cm ${}^{2}$ respectively. Find the volume in cm ${}^{3}$ .

Q.5
The difference between the radii of a bucket is 20 cm. if height of the bucket is 15 cm then find out the lateral height ?

Q.6
If each angle of a regular polygon is equal to the $\frac{3}{5}$ times of two right angles then no. of sides are - ?

Q.7
The base of a right pyramid is a square . if length of diagonal of the base is 24 $\sqrt{2}$ & volume of the pyramid is 1728 m ${}^{3}$ then it’s height will be - ?

Q.8
For a right prism; the base is an equilateral triangle with side 6 cm. if volume of the prism is 108 $\sqrt{3}$ cm ${}^{3}$ then it’s height is - ?

Q.9
If each interior angle of a regular polygon is 144 $°$ . Then no. of sides will be ?

Q.10
For a right prism the base is an equilateral $\Delta$ of area 173 cm ${}^{2}$ .Volum of right prism 10380 cm ${}^{3}$.  Then what will be the lateral surface area of that prism ? ( $\sqrt{3}$ =1.73)

Q.11
A prism is of hexagonal base of side 2a cm. If each lateral side of that prism is $\frac{5a}{2}$ cm long then the volume of that prism is :

Q.12
If the perimeters of a hexagon & an equilateral $\Delta$ are equal. Then what will be the ratio of their areas ?

Q.13
The ratio of number of sides of two regular polygon is 5 : 4 and the difference between each interior angle is 9 $°$ . Then find the no. of sides ?

Q.14
If each side of a tetrahedron is 12 cm long then the volume of tetrahedron will be  ?

Q.15
If the radii of a bucket are 28 cm & 7 cm and it’s height is 45 cm then the capacity of bucket in cm ${}^{3}$ is - $\left(\pi =\frac{22}{7}\right)$

Q.16
A hexagon is formed after cutting the vertices of an equilateral $\Delta$ of side 6 cm. Find out the area of this hexagon (in cm ${}^{2}$ ) ?

Q.17
Ratios between the no. of sides and each interior angles for two regular polygons are 5 : 6 and 24 : 25 respectively. Then what are the no. of sides of those polygons ?

Q.18
The base of a right prism is a trapezium. The parallel sides are 8 cm & 14 cm long. If the distance between both is 8 cm & Volume of this prism is 1056 cm ${}^{3}$ then height is : -?

Q.19
If base of a right pyramid is a square of side 40 cm. If volume of the pyramid is 8000 cm ${}^{3}$ then height of the pyramid is -?

Q.20
If each interior angle of a regular polygon is double of it’s exterior angle then no. of sides is -?

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