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QUESTIONS 
Based on the given figures 1 and figure 2, answer the following questions from 1 to 4. 
 
1. Find the area and perimeter of the square. 
2. Find the area and perimeter of the rectangle. 
3. Which figure has less area and by how much? 
4. Whose perimeter is greater and by how much? 
5. Find the area of the rhombus whose diagonals are 16cm and 12cm. 
6. Find the perimeter of the rhombus given in question 5. 
7. If the radius of the circle is 14 cm, find the diameter of the circle. 
8. Find the circumference of the circle whose diameter is 28 cm. 
9. Find the area of the circle of radius 7 cm. 
10. In the given figure, the breadth of the rectangle is 3 m and the length of diagonal 
is      5 m. Find the perimeter of the rectangle. 
 
11. Find the area of the rectangle given in question 10. 
12. If the side of a cube is 4 cm. Find its lateral surface area. 
13. Find the total surface area of  a cube of side 6 cm. 
Page 2


  
 
 
QUESTIONS 
Based on the given figures 1 and figure 2, answer the following questions from 1 to 4. 
 
1. Find the area and perimeter of the square. 
2. Find the area and perimeter of the rectangle. 
3. Which figure has less area and by how much? 
4. Whose perimeter is greater and by how much? 
5. Find the area of the rhombus whose diagonals are 16cm and 12cm. 
6. Find the perimeter of the rhombus given in question 5. 
7. If the radius of the circle is 14 cm, find the diameter of the circle. 
8. Find the circumference of the circle whose diameter is 28 cm. 
9. Find the area of the circle of radius 7 cm. 
10. In the given figure, the breadth of the rectangle is 3 m and the length of diagonal 
is      5 m. Find the perimeter of the rectangle. 
 
11. Find the area of the rectangle given in question 10. 
12. If the side of a cube is 4 cm. Find its lateral surface area. 
13. Find the total surface area of  a cube of side 6 cm. 
  
 
 
14. If the diameters of two circles are 14 cm and 7 cm, find the ratio of their areas. 
15. The height of a cylinder is 14 cm and its radius is 7 cm. Find the total surface 
area of the cylinder. 
16. Find the volume of the cylinder given in question 15. 
17. Find the side of the cube whose total surface area is 9600 sq. m. 
18. Find the volume of the cube given in question 17. 
19. Find the total surface area of the cuboid as shown in the figure. 
 
20. Find the volume of the cuboid given in question 19. 
21. Find the height of the cuboid whose base area and volume are 800 square meter 
and 6400 cubic meter respectively. 
22. A cuboid is of dimensions     ???? ???? × ???? ???? × ???? ???? . How many small cubes 
each having side of ???? ???? can be placed in the given cuboid? 
23. A cuboidal tank is 8 m long, 6 m wide and 2 m deep. How many litres of water it 
can hold? 
24. Volume of a cube is 3375 cubic cm. What is the length of the side of the cube? 
25. Find the area of the given figure. 
 
 
 
 
Page 3


  
 
 
QUESTIONS 
Based on the given figures 1 and figure 2, answer the following questions from 1 to 4. 
 
1. Find the area and perimeter of the square. 
2. Find the area and perimeter of the rectangle. 
3. Which figure has less area and by how much? 
4. Whose perimeter is greater and by how much? 
5. Find the area of the rhombus whose diagonals are 16cm and 12cm. 
6. Find the perimeter of the rhombus given in question 5. 
7. If the radius of the circle is 14 cm, find the diameter of the circle. 
8. Find the circumference of the circle whose diameter is 28 cm. 
9. Find the area of the circle of radius 7 cm. 
10. In the given figure, the breadth of the rectangle is 3 m and the length of diagonal 
is      5 m. Find the perimeter of the rectangle. 
 
11. Find the area of the rectangle given in question 10. 
12. If the side of a cube is 4 cm. Find its lateral surface area. 
13. Find the total surface area of  a cube of side 6 cm. 
  
 
 
14. If the diameters of two circles are 14 cm and 7 cm, find the ratio of their areas. 
15. The height of a cylinder is 14 cm and its radius is 7 cm. Find the total surface 
area of the cylinder. 
16. Find the volume of the cylinder given in question 15. 
17. Find the side of the cube whose total surface area is 9600 sq. m. 
18. Find the volume of the cube given in question 17. 
19. Find the total surface area of the cuboid as shown in the figure. 
 
20. Find the volume of the cuboid given in question 19. 
21. Find the height of the cuboid whose base area and volume are 800 square meter 
and 6400 cubic meter respectively. 
22. A cuboid is of dimensions     ???? ???? × ???? ???? × ???? ???? . How many small cubes 
each having side of ???? ???? can be placed in the given cuboid? 
23. A cuboidal tank is 8 m long, 6 m wide and 2 m deep. How many litres of water it 
can hold? 
24. Volume of a cube is 3375 cubic cm. What is the length of the side of the cube? 
25. Find the area of the given figure. 
 
 
 
 
  
 
 
26. The sides of a room are in the ratio ?? : ?? : ?? . The volume of the room is 24000 
cubic meter. Find the length of the longest side of the room. 
27. Find the area of shaded portion 
 
28. As shown in the given figure, two concentric circles having centre O, OA = 14 cm 
and OB = 7 cm. Find the area of the shaded portion. 
 
29. As shown in the given figure, AC = 15 cm, DQ = 8 cm, BP = 10 cm. Find the area 
of the figure. 
 
 
 
Page 4


  
 
 
QUESTIONS 
Based on the given figures 1 and figure 2, answer the following questions from 1 to 4. 
 
1. Find the area and perimeter of the square. 
2. Find the area and perimeter of the rectangle. 
3. Which figure has less area and by how much? 
4. Whose perimeter is greater and by how much? 
5. Find the area of the rhombus whose diagonals are 16cm and 12cm. 
6. Find the perimeter of the rhombus given in question 5. 
7. If the radius of the circle is 14 cm, find the diameter of the circle. 
8. Find the circumference of the circle whose diameter is 28 cm. 
9. Find the area of the circle of radius 7 cm. 
10. In the given figure, the breadth of the rectangle is 3 m and the length of diagonal 
is      5 m. Find the perimeter of the rectangle. 
 
11. Find the area of the rectangle given in question 10. 
12. If the side of a cube is 4 cm. Find its lateral surface area. 
13. Find the total surface area of  a cube of side 6 cm. 
  
 
 
14. If the diameters of two circles are 14 cm and 7 cm, find the ratio of their areas. 
15. The height of a cylinder is 14 cm and its radius is 7 cm. Find the total surface 
area of the cylinder. 
16. Find the volume of the cylinder given in question 15. 
17. Find the side of the cube whose total surface area is 9600 sq. m. 
18. Find the volume of the cube given in question 17. 
19. Find the total surface area of the cuboid as shown in the figure. 
 
20. Find the volume of the cuboid given in question 19. 
21. Find the height of the cuboid whose base area and volume are 800 square meter 
and 6400 cubic meter respectively. 
22. A cuboid is of dimensions     ???? ???? × ???? ???? × ???? ???? . How many small cubes 
each having side of ???? ???? can be placed in the given cuboid? 
23. A cuboidal tank is 8 m long, 6 m wide and 2 m deep. How many litres of water it 
can hold? 
24. Volume of a cube is 3375 cubic cm. What is the length of the side of the cube? 
25. Find the area of the given figure. 
 
 
 
 
  
 
 
26. The sides of a room are in the ratio ?? : ?? : ?? . The volume of the room is 24000 
cubic meter. Find the length of the longest side of the room. 
27. Find the area of shaded portion 
 
28. As shown in the given figure, two concentric circles having centre O, OA = 14 cm 
and OB = 7 cm. Find the area of the shaded portion. 
 
29. As shown in the given figure, AC = 15 cm, DQ = 8 cm, BP = 10 cm. Find the area 
of the figure. 
 
 
 
  
 
 
30. If the radius of circle is doubled, then by how much percent its area will 
increase? 
31. The area of four walls of a room is 48 sq.m. If perimeter of the floor is 16m, find 
the height of the room. 
32. Find the area of a trapezium shaped field whose parallel sides are 132.7m and 
67.3m respectively and distance between parallel sides is 23.75m. 
33. The capacity of a cylindrical tank, whose base diameter is 4m is 44000 litres. 
Find its height. 
34. If the radius of a cylindrical tank is reduced to half of original radius, then what 
will be the change in its height if the volume of the cylinder remains same? 
35. The area of the circular base of a cylindrical tank is 220sq.cm. Find its volume if 
its height is 40cm. 
  
Page 5


  
 
 
QUESTIONS 
Based on the given figures 1 and figure 2, answer the following questions from 1 to 4. 
 
1. Find the area and perimeter of the square. 
2. Find the area and perimeter of the rectangle. 
3. Which figure has less area and by how much? 
4. Whose perimeter is greater and by how much? 
5. Find the area of the rhombus whose diagonals are 16cm and 12cm. 
6. Find the perimeter of the rhombus given in question 5. 
7. If the radius of the circle is 14 cm, find the diameter of the circle. 
8. Find the circumference of the circle whose diameter is 28 cm. 
9. Find the area of the circle of radius 7 cm. 
10. In the given figure, the breadth of the rectangle is 3 m and the length of diagonal 
is      5 m. Find the perimeter of the rectangle. 
 
11. Find the area of the rectangle given in question 10. 
12. If the side of a cube is 4 cm. Find its lateral surface area. 
13. Find the total surface area of  a cube of side 6 cm. 
  
 
 
14. If the diameters of two circles are 14 cm and 7 cm, find the ratio of their areas. 
15. The height of a cylinder is 14 cm and its radius is 7 cm. Find the total surface 
area of the cylinder. 
16. Find the volume of the cylinder given in question 15. 
17. Find the side of the cube whose total surface area is 9600 sq. m. 
18. Find the volume of the cube given in question 17. 
19. Find the total surface area of the cuboid as shown in the figure. 
 
20. Find the volume of the cuboid given in question 19. 
21. Find the height of the cuboid whose base area and volume are 800 square meter 
and 6400 cubic meter respectively. 
22. A cuboid is of dimensions     ???? ???? × ???? ???? × ???? ???? . How many small cubes 
each having side of ???? ???? can be placed in the given cuboid? 
23. A cuboidal tank is 8 m long, 6 m wide and 2 m deep. How many litres of water it 
can hold? 
24. Volume of a cube is 3375 cubic cm. What is the length of the side of the cube? 
25. Find the area of the given figure. 
 
 
 
 
  
 
 
26. The sides of a room are in the ratio ?? : ?? : ?? . The volume of the room is 24000 
cubic meter. Find the length of the longest side of the room. 
27. Find the area of shaded portion 
 
28. As shown in the given figure, two concentric circles having centre O, OA = 14 cm 
and OB = 7 cm. Find the area of the shaded portion. 
 
29. As shown in the given figure, AC = 15 cm, DQ = 8 cm, BP = 10 cm. Find the area 
of the figure. 
 
 
 
  
 
 
30. If the radius of circle is doubled, then by how much percent its area will 
increase? 
31. The area of four walls of a room is 48 sq.m. If perimeter of the floor is 16m, find 
the height of the room. 
32. Find the area of a trapezium shaped field whose parallel sides are 132.7m and 
67.3m respectively and distance between parallel sides is 23.75m. 
33. The capacity of a cylindrical tank, whose base diameter is 4m is 44000 litres. 
Find its height. 
34. If the radius of a cylindrical tank is reduced to half of original radius, then what 
will be the change in its height if the volume of the cylinder remains same? 
35. The area of the circular base of a cylindrical tank is 220sq.cm. Find its volume if 
its height is 40cm. 
  
  
 
ANSWERS 
Question 
No. 
Answer 
Question 
No. 
Answer 
1 
Area=3600 sq. meter 
Perimeter=240 meter 
19 126 sq. m 
2 
Area=2400 sq. meter 
Perimeter=220 meter 
20 90 cubic m 
3 
Rectangle, 1200 sq. 
meter 
21 8 m 
4 Square, 20 meter 22 60 
5 96 square centimeter 23 96000 litres 
6 40 centimeter 24 15 cm 
7 28 centimeter 25 165 sq. cm 
8 88 centimeter 26 40 m 
9 154 sq. cm 27 400 sq. m 
10 14 m 28 462 sq. cm 
11 12 sq. m 29 135 sq. cm 
12 64 sq. cm 30 300% 
13 216 sq. cm 31 3m 
14 4:1 32 2375 sq.m 
15 924 sq. cm 33 3.5m 
16 2156 cubic cm 34 4 times 
17 40 m 35 8800 cubic cm 
18 64000 cubic m   
 
 
 
 
 
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