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Mensuration Mix || 29.01.2021

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Question 1

A rectangular tank 25 cm long and 20 cm wide contains water to a depth of 5 cm. A metal cube of side 10 cm is placed in the tank so that one face of the cube rests on the bottom of the tank. Find how many liters of water must be poured into the tank so as to just cover the cube?

Question 2

A sector is formed by opening out a cone of base radius 8 cm and height 6 cm. Then the radius of the sector is (in cm):

Question 3

The length of the diagonal of a cube is 6 cm. The volume of the cube (in cm3) is:

Question 4

The base of a right pyramid is a square of side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is? 

Question 5

If the volumes of two cubes are in the ratio 27:64, then the ratio of their total surface areas is

Question 6

Find the area of trapezium whose parallel sides are 24 cm and 16 cm long, and the distance between them is 15 cm.

Question 7

A solid sphere of radius r is melted and a solid cone of height r is made from it. Find the radius of the base of the cone.

Question 8

Three cubes of metal whose edges are 3, 4 and 5 cm respectively are melted and formed into a single cube. If there be no loss of metal in the process, then the side of the new cube is

Question 9

The lengths of parallel sides of a trapezium are 20 cm and 10 cm. if the perpendicular distance between the parallel sides is 8cm, then find its area. 

Question 10

A road which is 7m wide surrounds a circular park whose circumference is 352 m. The area of the road in square metre is 
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May 5SSC & Railway