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Winterbreakassignment(2015-16)
CLASS– VIII (Maths)
1. Prepare a 3-D model (utilityproduct) contain minimumthreeshapesfromsurface areaand
volume.
2. Assignmentof bothchapters.
MENSURATION
1. What will be volume of a box whose length 16 m, breadth 8 m and height is 5 m?
2. The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. Find the area of four
walls of room?
3. The volume of a cube is 27a3. Find the length of its edge?
4. How much Aluminum sheet will be required to make a container with lid whose length is 13 m, breadth
is 8 m and height is 4 m?
5. The length of diagonal of a cube is 17.32 cm. Find the volume of that cube?
6. Three cubes whose sides are 6 cm, 8 cm and 10 cm. They are melted and form a cube. Find the
volume of that cube?
7. The volume of a right circular cylinder is 392 π cm3 and its height is 8 cm. Find the radius of cylinder.
8. The floor of a rectangular hall has a perimeter 250m. If the cost of paining the four walls at the
rate of Rs 10 per m2 is Rs 1500. Find the height of the hall.
9. A room is half as long again as it is broad. The cost of carpeting the room at Rs 3.25 per m2 is Rs
175.50 and the cost of papering the walls at Rs 1.40 per m2 is Rs 240.80. If 1 door and 2 windows
occupy 8m2, find the dimensions of the room.
10. A river 2m deep and 45m wide is flowing at the rate of 3 km per hour. Find the volume of water that
runs into the sea per minute.
11. A closed cylinder has diameter 8cm and height 10cm. Find its total surface area and volume.
12. A cylindrical bucket, 28cm in diameter 72cm high is full of water. The water is emptied into a
rectangular tank, 66cm long and 28cm wide. Find the height of the water level in the tank.
13. A hollow cylindrical pipe is 21 dm long. Its outer and inner diameters are 10cm and 6cm respectively.
Find the volume of copper used in making the pipe.
14. The height of a right circular cylinder is 10.5m. Three times the sum of the areas of its two circular
faces is twice the area of the curved surface. Find the volume of the cylinder.
15. The volume of a metallic cylindrical pipe is 748cm3 . Its length is 14 cm and its external radius is 9
cm. Find its thickness.

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mensuration

  • 1. Winterbreakassignment(2015-16) CLASS– VIII (Maths) 1. Prepare a 3-D model (utilityproduct) contain minimumthreeshapesfromsurface areaand volume. 2. Assignmentof bothchapters. MENSURATION 1. What will be volume of a box whose length 16 m, breadth 8 m and height is 5 m? 2. The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. Find the area of four walls of room? 3. The volume of a cube is 27a3. Find the length of its edge? 4. How much Aluminum sheet will be required to make a container with lid whose length is 13 m, breadth is 8 m and height is 4 m? 5. The length of diagonal of a cube is 17.32 cm. Find the volume of that cube? 6. Three cubes whose sides are 6 cm, 8 cm and 10 cm. They are melted and form a cube. Find the volume of that cube? 7. The volume of a right circular cylinder is 392 π cm3 and its height is 8 cm. Find the radius of cylinder. 8. The floor of a rectangular hall has a perimeter 250m. If the cost of paining the four walls at the rate of Rs 10 per m2 is Rs 1500. Find the height of the hall. 9. A room is half as long again as it is broad. The cost of carpeting the room at Rs 3.25 per m2 is Rs 175.50 and the cost of papering the walls at Rs 1.40 per m2 is Rs 240.80. If 1 door and 2 windows occupy 8m2, find the dimensions of the room. 10. A river 2m deep and 45m wide is flowing at the rate of 3 km per hour. Find the volume of water that runs into the sea per minute. 11. A closed cylinder has diameter 8cm and height 10cm. Find its total surface area and volume. 12. A cylindrical bucket, 28cm in diameter 72cm high is full of water. The water is emptied into a rectangular tank, 66cm long and 28cm wide. Find the height of the water level in the tank. 13. A hollow cylindrical pipe is 21 dm long. Its outer and inner diameters are 10cm and 6cm respectively. Find the volume of copper used in making the pipe. 14. The height of a right circular cylinder is 10.5m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder. 15. The volume of a metallic cylindrical pipe is 748cm3 . Its length is 14 cm and its external radius is 9 cm. Find its thickness.