Q. The dimensions of a room are (9m×8m×6.5m). It has one door of dimensions (2m×1.5m) and two windows, each of dimensions (1.5m×1m). Find the cost of whitewashing the walls at Rs.25 per square meter.
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Q. Three cubes whose edges of radii 3cm, 4cm and 5cm are melted together from a single cube. Find the surface area of the new cube.
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Q. How many persons can be accommodated in a dining hall of dimensions (20m×16m×4.5m), assuming that each person requires 5 cubic meters of air.
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Q. A classroom is 10m long, 6.4m wide and 5m high. If each student is given 1.6m2 of the floor area, how many students can be accommodated in the room? How many cubic meters of air each student will get?
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Q. A godown measures 40m×25m×15m. Find the maximum number of wooden crates each measuring 1.5m×1.25m×0.5m that can be stored in the godown.
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Q. The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respecrively 2.5 m and 10 m
Q. The sum of the length, breadth and depth of a cuboid is 19cm and the length of its diagonal is 11cm. Find the surface area of the cuboid.
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Q. The volume of a cuboid is 1536m3. Its length is 16m, and its breadth and height are in the ratio 3:2. Find the breadth and height of the cuboid.
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Q. How many bricks will be required to construct a wall 8m long, 6m high and 22.5cm thick if each brick measures (25cm×11.25cm×6cm)?
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Q. Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are : length =12cm, breadth =8cm and height =4.5cm
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Q. Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are : length =15m, breadth =6m and height =5cm
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Q. Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are : length =24m, breadth =25cm and height =6m.
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Q. How many planks of dimensions (5m×25cm×10cm) can be stored in a pit which is 20m long, 6m wide and 80cm deep?
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Q. Find the capacity of a closed rectangular cistern whose length is 8m, breadth 6m and depth 2.5m. Also find the area of the iron sheet required to make the cistern.
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Q. A wall 15m long, 30cm wide and 4m high is made of bricks, each measuring (22cm×12.5cm×7.5cm). If 1/12 of the total volume of the wall consist of mortar, how many bricks are there in the wall?
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Q. A box made of sheet metal costs Rs.6480 at Rs.120 per square metre. If the box is 5m long and 3m wide, find its height.
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Q. The surface area of a cuboid is 758cm2. Its length and breadth are 14cm and 11cm respectively. Find its height.
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Q. In a shower, 5cm of rain falls. Find the volume of water that falls on 2 hectares of ground.
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Q. Find the volume, the lateral surface area, the total surface area and the diagonal of a cube, each of whose edges measures 9m. (Take √3=1.73)
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Q. The total surface area of a cube is 1176cm2. Find its volume.