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21. The dimensions of a rectangular box are in the ratio 2 : 3 : 4 and difference between the cost of covering it with sheet of paper at the rate of र 4 and र 4.50 per m² is र 416. Find the dimensions of the box.

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22. The floor of a rectangular hall has a perimeter of 250 m and its length and breadth are in the ratio of 13 : 12. If the cost of painting the four walls and ceiling at the rate of र 5 per m² is र 27000, find the height of the hall.

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Ans. 21.6 m

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23. The edge of a cube is 10.5 mm. Find its total surface area in cm².

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24. If the length of the diagonal of a cube is 6√3 cm, find the edge of the cube.

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25. Three cubes are placed adjacent to each other in a row. Find the ratio of the total surface area of the cuboid so formed and that of any one of these cubes.

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26. The surface area of a cuboid is 1372 cm². If its dimensions are in the ratio 4 : 2 : 1, find its length.

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27. The paint in a certain container is sufficient to paint an area equal to 9.375 m². How many bricks of dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container?

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28.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2 . Find the diameter of the base of the cylinder.

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29.

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same?

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Long Answer Type

30.

A metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its

(i) inner curved surface area,
(ii) outer curved surface area,
(iii) total surface area.

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Surface Areas and Volumes

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22. The floor of a rectangular hall has a perimeter of 250 m and its length and breadth are in the ratio of 13 : 12. If the cost of painting the four walls and ceiling at the rate of र 5 per m² is र 27000, find the height of the hall.

Long Answer Type

Previous Year Papers

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Short Answer Type

22. The floor of a rectangular hall has a perimeter of 250 m and its length and breadth are in the ratio of 13 : 12. If the cost of painting the four walls and ceiling at the rate of र 5 per m2 is र 27000, find the height of the hall.

Long Answer Type

22. The floor of a rectangular hall has a perimeter of 250 m and its length and breadth are in the ratio of 13 : 12. If the cost of painting the four walls and ceiling at the rate of र 5 per m² is र 27000, find the height of the hall.