List of top Mathematics Questions on Mensuration asked in MAT

A boy, Chintu while playing with modelling clay, changes a cone shaped toy into a spherical toy. The height of the cone was 20cm and radius of base was 5 cm. Find the radius and the surface area of the sphere
The base of a right pyramid is a square and the length of the side of the square is 32 cm, and the height of the pyramid is 12 cm. Then what is the total surface area of the square pyramid?
A square pyramid with a side of 10 cm has a volume of 400 cm\(^3\). Find the total surface area of the pyramid.
The ratio of diameter to its height of a cylindrical pillar is 7 : 3. The volume of the pillar is 924 m\(^3\). Its curved surface area is .......
The interior angles of a polygon are in A.P. The smallest angle is 1200 and the common difference is 5. Then the number of sides of the polygon are
A large cube is formed from the material obtained by melting three smaller cubes of sides 3 cm, 4 cm and 5 cm.What is the ratio of the total surface area of the smaller cubes to the large cube?
There are two concentric circular track of radii 100m and 102m, respectively . A runs on the inner track and goes once round in 1 min 30 sec while B runs on the outer track in 1 min 32 sec. Who runs faster?
A conical tent is 5m high and the radius of the base of 12m find the slant height if the cost of 1m square canvas is rs 70 find thecost of canvas required to make the tent
In a medical certificate, by mistake a candidate gave his height as 25% more than actual. In the interview panel, he clarified that his height was 55 ft 5 inches. What is the percentage correction made by the candidate from his stated height to his actual height?
A cylindrical tub of radius 12 cm contains water up to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball is
The dimensions of a room are 10m × 7m × 5m . There are 2 doors and 3 windows in the room.The dimensions of the doors are 1m × 3m. One window is of size 2m × 1.5m and the other two windows are of size 1m × 1.5m. The cost of painting the walls at ₹ 3 per m2 is
A cistern, open at the top. is to be lined with sheet lead which weights 27 𝑘𝑔 / 𝑚3. The cistern is 4.5 m long and 3 m wide and holds 50 𝑚3. The weight of lead required is
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between the surface area of the two solids, is
A Circus tent is cylindrical to a height of 3 m and conical above it. If the diameter of the base is 140 m and the slant height of the conical portion is 80 m, the length of canvas 2 m wide required to make the tent is
The ratio between the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/ h completes one round in 8 minutes, then the area of the park in sq. m is
If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be

There are two identical vessels X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using B once. If A can hold \(\frac{1}{2}\) a litre of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system ?

If three equal cubes are placed adjacently in a row, then the ratio of the total surface area of the new cuboid to that of the sum of the surface areas of the three cubes will be
An iron cube of size 10 cm is hammered into a rectangular sheet of thickness 0.5 cm.If the sides of the sheet be in the ratio 1 : 5 then the sides are
Three pipes are made of different shapes. The cross-sections of the pipes are an equilateral triangle, a hexagon and a circle. The perimeter of each of these cross-sections is equal. The flow through the pipes is proportional to the area of cross section. If it takes 8 minutes for the triangular pipe to fill up the tank, what will be the difference in the times taken by the hexagonal and circular pipes?
If an angle of a triangle remains unchanged but each of its two including side is doubled, then by what factor does the area get multiplied ?
The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty, we start filling the cistern with water through a pipe whose diameter is 50 cm, water is coming out of the pipe with a velocity of 5 m/s. How many minutes will it take in filling the cistern with water?
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6 cm and 8 cm, then find the edge of the third smaller cube.
A well 22.5 deep and of diameter 7m has to be dug out. Find the cost of plastering its inner curved surface at Rs 3 per sq metre.
Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cyclindrical tank, the radius of whose base is 60 cm. By how much will the level of water rise in 30 minutes?