1. 68 boxes of contain commodity require a shelf- length of 13.6 m. How many boxes of the same commodity would occupy a shelf- length of 20.4 m? 2. 11 men can dig 6 and 3/4 m long trench in one day. How many men should be employed for digging 27m long trench of the same type in one day? 3. 120 men had food provisions for 200 days. After 5 days, 30 men die due to an epidemic. How long will the remaining food last? 4. A car can finish a certain journey in 10 hours at the speed of 48km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance? 5. In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last? 6. A worker is paid Rs.210 for 6 days work. If his total income of the month is Rs. 875, for how many did he work? 7. A train 400m long is running at a speed of 72km/hr. How much time does it take to cross a telegraph post? 8. A train 360m long is running at a speed of 45 km/hr. What time will it take to cross a 140m long bridge? 9.A train 210m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train. 10. If 5 men or 7 women can earn Rs 875 per day, how much would 10 men and 5women earn per day. 11. The cost of 16packets of salt, each weighing 900 g, is Rs 84. Find the cost of 27packets of salt, each weighing 1kg. 11. If 3persons can weave 168 shawls in 14 days, how many shawls will be woven by 8 persons in 5d ays? 12. If the cost of transporting 160kgof goods for 125kmis Rs60. What will be the cost of transporting 200kg of goods for 400km? 13. 6oxen or 8cows can graze a field in 28days. How long would 9oxen and 2cows take to graze the same field? 14. 6 men working 8 hours a day, earn Rs 8400per week. What will be the earning per week of 9men who work for 6hoursa day? 15. A fort had provision for 300men for 90days. After 20days, 50men left the fort. How long would the food last at the same rate? 1. An underground water tank is in the shape of cube of side 7 m. What will be its volume? 2. What will be volume of a box whose length 16 m, breadth 8 m and height is 5 m? 3. The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. Find the area of our walls of room? 4. The volume of a cube is 27a3 . Find the length of its edge? 5. How much Aluminium sheet will be required to make a container with lid whose length is 13 m, breadth is 8 m and height is 4 m? 6. The volume of a cube is 1331 cm3 . Find the length of its edge? 7. The length of diagonal of a cube is 17.32 cm. Find the volume of that cube? 8. 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? 9. Two cubes have edge 10 m. Their edges have been joined and form a cuboid. What will be the surface area of cuboid thus formed? 10. The total volume of a cube is 512 cubic cm. Find the side of a cube? 11. A rectangular box 14 cm long, 10 cm wide and 5 cm high is to be made with card-board. Find the area of card-board to make that box? 12. What will be the volume of a cylindrical tank whose radius is 7 cm and height is 5 cm? 13. How many solid spheres of 2/3 cm radius can be made from a solid sphere of 2 cm radius? 14. If the volume and surface area of a sphere is numerically same then what will be its radius? 15. The volume of a right circular cylinder is 392 π cm3 and its height is 8 cm. Find the radius?
1. Verify Euler’s formula for a) Square pyramid b) Pentagonal prism c) tetrahedron 2. The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively. If one of the diagonal of the rhombus is 22 cm, find the length of the other diagonal. 3. 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. Ans: 3/5 m = 0.6m 4. A room is half as long again as it is broad....
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