Miscellaneous Mensuration (Simple)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #91

If 64 water filled buckets of equal measure are taken out from a cubical water filled tank, then `1/3`rd of water remains in the tank. If the length of one edge of the tank is 1.2 m., then calculate the quantity of water that can be hold in each bucket ?
Ans: 18 lt
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Question No: #92

If 75 buckets of water of equal measure are taken from a completely filled cubical tank, then `2/5` part of the tank remains filled with water. If the length of one side of the tank is 1.5 m, determine how many liters of water each bucket holds.
Ans: 27 litre
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Question No: #93

Half of a cuboidal water tank with length of 2.1 m. and breadth of 1.5 m. is filled with water. If 630 litres water is poured more into the tank, then calculate the depth of water that will be increased by.
Ans: 2 dcm
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Question No: #94

To raise the height of a rectangular low land of 48 m. long and 31.5 m. broad by 6.5 decimeters, a ditch of 27 m. long and 18.2 m broad is dug in a side rectangular plot. What will be the depth of the ditch.
Ans: 2 m.
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Question No: #95

The length and breadth of a rectangular field of the village are 20 m. and 15m. respectively For construction of pillars in the 4 corners of that field 4 cubic holes having length of 4 m. are dug out and the soils removed are dispersed on the remaining land. Let us calculate and write the height of the surfaces of the field that is increased by.
Ans: `1 5/59` m.
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Question No: #96

Half of a tank of length 21 dcm, breadth 11 dcm and depth 6 dcm is full of water. If 100 solid spheres of diameter 21 cm each are fully immeresed into this water of tank, then how many dcm of the water - level of the tank will be raised ?
Ans: 2.1 dcm
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Question No: #97

The daily requirements of water of three families in our three-storyed flat are 1200 litres, 1050 litres and 950 litres respectively. After fulfilling these requirements in order to put up a tank again and to deposit to store 25% of the required water, only a land having the length of 2·5 m and breadth of 1 ·6 m has been procured. Calculate the depth of the tank in metre that should be made.

Question No: #98

A pond 3 meters long, 2.5 meters wide and 1.8 meters deep has been constructed for soaking bricks. When the water in the pond was 8 decimeters deep, some bricks were soaked in it. Even after the bricks had absorbed `1/5` part of the water, it was found that the water level had risen by 5.2 decimeters. If the length, width and height of each brick are 25 cm, 12.5 cm and 8 cm respectively, how many bricks were soaked?
Ans: 2040
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Question No: #99

The length, breadth and height of a outer surface of a wooden box with a lid are 10 cm, 9 cm and 7 cm respectively. If the area of the total inner surface of the closed box is 262 sq. cm., then find the thickness of the wood.
Ans: 1 cm.
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Question No: #100

If half of the total surface area of the cuboid is equal to the square of the length of its diagonal, then prove that the cuboid is cube.