Maths Puzzle : Mensuration

Question : If surface area of large cube is four times of smaller cube then how many smaller cubes can be formed from the material obtained by melting a larger cube.

Solution : Let larger cube side is X and and smaller cube is Y

then Square of (X/Y) = 4 or X/Y = 2

Cube of ( X/Y) = 8 so eight smaller cube can be formed

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Question :
Maths Puzzle : Mensuration

ABCD is parallelogram as shown in above figure. P, Q , R ans S are points as shown in figure.
 If area of ABCD is 36 square cm and DR = AP then What is the area of quadrilateral ?


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Question : The volume of the cube is 27 cubic CM then what is total length of its edges ?

Solution : Cube Volume = 27 so edge = 3 
  total 12 edges so total length 36 CM

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Question : The sides of triangles are in ratio of 1/4 : 1/3 : 1/2 . If the perimeter of triangle is  26 cm then find the length of sides ?

  Solution : 1/4 : 1/3 : 1:2 can be written as   3 : 4 : 6
 so 26 = A ( 3 + 4 + 6 )
A = 2 
length of sides are  6 , 8 and 12 cm

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Question : Circle and a square have the same perimeter. If the area of the square is 121 then what is the area of the circle ?

Answer :    area of square = 121 , so side of square = 11 
                      perimeter of circle = perimeter of square = 44
      radius of circle = 7
   Area of circle = 154

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Question : Figure shown below is made up of three squares and sides of squares are 10cm , 5 cm and 8cm respectively. Find the area of triangle ABC ? note figure not drawn to the scale
mensuration area of triangle





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             Maths Problems , Maths worksheet

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