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Chapter 15 : Volume-and-Surface-Area-of-Solids
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 3 cm, 4 cm and 5 cm 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 (20 m×16 m×4.5 m), assuming that each person requires 5 cubic meters of air.
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Q. A classroom is 10 m long, 6.4 m wide and 5 m high. If each student is given 1.6 m2 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
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Q. The sum of the length, breadth and depth of a cuboid is 19 cm and the length of its diagonal is 11 cm. Find the surface area of the cuboid.
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Q. The volume of a cuboid is 1536 m3. Its length is 16 m, 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 8 m long, 6 m high and 22.5 cm thick if each brick measures (25 cm×11.25 cm×6 cm)?
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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 =15 m, breadth =6 m and height =5 cm
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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 8 m, breadth 6 m and depth 2.5 m. Also find the area of the iron sheet required to make the cistern.
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Q. A wall 15 m 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 1176 cm2. Find its volume.
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