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Practice Mensuration Questions and Answers

A rectangular plot has an area of 490 m². If the length of the rectangular plot is 24.5 m. Find the perimeter of the rectangular plot.
The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
A cone is cut parallel to its base in 3 parts in such a way that the height of each part is same. Find the ratio of volume of these parts?
Two third part of cylinder is full of water. When we tilt the cylinder in such a way that the water becomes diagonal shape, in this process 87.5 litre of w...
A maximum size sphere is cut from a hemisphere of radius r. Find the ratio of volume of hemisphere to sphere?
A cube of maximum possible volume is cut from a sphere of radius 5√3 cm. What is the ratio of the volume of a cube to that of the sphere?
Find the number of silver balls of diameter 2 cm each, that can be made from a sphere of diameter 32 cm?
If the altitude of an equilateral triangle is 9 cm, then find out its area?
A cylindrical tank of 28 cm base radius is partly filled with water. How many bullets of 1cm radius of iron is added in it in order to increase the water l...
The total area of a circle and a square is 6350 cm2, the diameter of the circle is 70cm, what is the difference between the circumference of the circle and...
In a right angle triangle, the product of two sides is half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?
A circle is inscribed in a square of side 28 cm. The area of the remaining portion of the square which is not enclosed by the circle is.
One side of a parallelogram is 25 cm and its distance from the opposite side is 9 cm. The area of the parallelogram is: ...
The volume of water measured on a rectangular field 400m 200m is 8000 . Find the depth (amount) of rain that has fallen.
The perimeter of a rectangle is 300m. If the difference between the length and breadth of the rectangle is 10m, then what is the circumference of the large...
A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
A wire is moulded into a circle of radius 21m. Then the wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus formed...
A village having a population of 5000 requires 250 litres of water per head per day. It has a tank measuring 50 m × 40 m × 25 m. The water of t...
Find out the volume of a tetrahedron whose side is 6√2 cm³?
The base of a triangular field is 400 metres and its height 250 metres. Find the area of the field and also calculate the charges for supplying water to th...
Outer diameter of 20 cm long pipe is 25 cm. If the thickness of the metal in the pipe is 1 cm. Find the total surface area of the pipe?
Find the number of sides in a polygon in which each internal angle is 120° ?
Find the area of the octagon whose side is 20 cm?
Three solid Metallic cubes of edges 15cm, 17cm and 18cm are melted together to make a new cube. 296 cm3 of the melted material is lost due to improper hand...
The Height of a metallic hollow cylinder is 28 cm and the difference between its inner curved surface Area and outer curved Surface area is 66cm². If the ...
The side of a square is increased by 40%. Find the percentage change in its area?
The external dimensions of an open rectangular wooden box are 88 cm by 74cm by 67cm. If the wood is 2cm thick all around, find the amount of volume of wood...
Find the volume of a Prism which is based on regular octagon of side 10cm and height of the prism is 60 cm?
Find the length of the diagonal of a cube with volume 81√3 cm³?
The height of a right circular cylinder is 12m and also three times the sum of the areas of its two end faces is equal to twice the area of its curved surf...
Total surface area of Cuboid is 1875 cm ² and the Sum of its Length, breadth and height is 45cm, and then find out the sum of the squares of its length, b...
A tank 60m long, 45m broad and 18m deep is dug in a ground 2000 m long and 45m wide. By how much will the level of the field rise if earth dug out of the t...
If the angular diameter of the sun is 20, how far from the eye a coin of radius 4.95 cm be kept to hide the sun?
A cone is parallel to its base in such a way that the volume of the smaller cone is 1/2197 times of the bigger cone. Find the height of the smaller cone,...
1.5 cm of rain has fallen on a square km of length 80% of the water was stored in a tank of dimensions 160 m × 15m. Find the increase in the water level i...
Find out the circumference of a sector whose radius is 14 cm and it makes the angle of 45 degrees at the centre.
Each interior angle of a regular polygon is 140°. Then find out how many diagonals are there?
A diagonal of a rhombus is 6 cm. If its area is 24 cm, then the length of each side of the rhombus is?
A well with 20 m inside diameter is dug 10 m deep. Soil taken out of it has been evenly spread all around it to a width of 30 m to form an embankment. Find...
The length and breadth of a rectangular plot of a land are in the ratio 9:7. The owner spent Rs 8,000/- for surrounding it from all the sides at the rate o...

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