what it is?

below shown is the sketch of a German Submarine

this is famous Eiffel Tower

this is a bridge made up of iron and steel

Now can you tell what it is?

most of the buildings are, nowadays, constructed using concrete bricks. earlier clay bricks used but availability of clay is bit hard.

manufacturing process:

the big rocks from mountain is crushed into small size in a crusher. It is then transported to the work site. there it is mixed with sand and cement to make concrete. this is done in an concrete-mixture-machine. then it is shaped into brick with help of an electric power press.

if we analyze the manufacturing process, we can see that lot of energy spent in all the way.

move the die

shown below is a die on the corner of the square board of 3x3 grid board. you are allowed to roll the die, a quarter turn over a bottom edge so that it moves to an adjacent square.
diagonal movement is not allowed.
any path you can choose.
what number of spots, when the die is resting on the square in the position indicated by dotted line , never appears on the top face of the die?

The clue : total of spots on the two opposite faces is SEVEN

shortest path

A geometrical shape is made up of 14 rectangles each having a size of 6cm x 2 cm. Two paths are shown in RED and BLUE color through the edges of rectangles. out of these two paths which is the shortest path and what is the length of that path

The Oxford murders

a  series of symbols is given  above . what is the fourth symbol in this series? it is a puzzle asked by the Prof. Arthur seldom at the Oxford University. don't expect the answer here. if you want to know the forth symbol and also about Prof. Arthur Seldom, watch the movie "The Oxford Murders" released in 2008.

in this movie, an Oxford university professor and grad student trying to stop a series of murders linked with mathematical symbols.

area

A sketch is shown here. find out the area of shaded portion

A.      8-8π

B.      8-4π

C.      8-2π

D.      8-π

E.       π

oil in tank

A cylindrical tank is filled with oil, is 1/3 full. by adding 3 gallon oil, the tank will be half full.
What is the capacity of tank

Painted Wooden Block

A wooden block three inches on edge is shown in the figure. all faces are painted with different colors.if the block is cut up along the thin lines shown on the surface, it will result in 27 small blocks each having one cubic inch in volume. Of these blocks how many will have no painted faces?

problem with temperature

In an equipment there is an insulated box, which is having a heating coil. it is used to treat chemicals at 45 degree Celsius.

now problem is, i am cutting off the power supply to the heating coil when the temperature inside the box is exactly 45 degree Celsius. box is well insulated. in this condition what would be the temperature inside the box after ONE minute?

A. increases
B. decreases
C. no change

can you draw

In the orthographic view of an object, it is having same front view, top view and side view. can you draw the 3D shape

orthographic view is the 2D representation of a 3D object as different views. these views are known as Front view, side view, top view back view, bottom view etc. for more details learn about orthographic projections.

can you draw

you might have been drawn the object in the previous session. now try this one.
in orthographic representation all views are having same shape which is shown below.

folding and unfolding

 A paper sheet in the shape of square is folding as shown in the sketch. After folding two protruding corners are cut and remove as shown in the sketch(shaded portion). after cutting that portion unfold the paper. what shape you will get? choose the correct shape.

don't use a paper for solving this problem. first you try to visualize the folding and unfolding, then try to find out the answer, if you want to boost your creativity.  if you cannot find out the true shape, nothing to worry. use a paper to find out the true shape.

problems of area

in the sketch some area is shaded. now what would be the ratio

refrigerator and ice cubes

a special refrigerator compartment having a size of 0.8m in length, 0.4m width and 0.5m height. this compartment is having a top mounted door. how many ice cubes we can store in this refrigerator  if each cube is 0.2m on an edge?

the case of symmetry

A figure that can be folded over along a straight line so that the result is two equal halves which are then lying on top of one another with no overlap is said to be have a line of symmetry.
Now question is,
which of the following shapes have only one line of symmetry

1. circle 
2. square
3. rectangle
4. equilateral triangle
5. isosceles triangle

the ratio

a square is shown in the sketch. some area of the square is shaded and rest of the area is unshaded. one side of the square is 5 units. what would be the ratio of Area of shaded portion to the area of unshaded portion.

make a perfect square

a long rectangular paper strip which is equally divided into 5 squares as shown in the sketch is given. you can fold it and cut. can you make a perfect square using the paper pieces. you are allowed to make exactly two cuts only.



solution:
fold the paper strip through the center. then cut the strip as shown in the sketch using red lines. you will get 4 pieces. by arranging those paper pieces as shown in the last sketch, you can make the perfect square.

cut a square from rectangle

A paper in rectangular shape is provided. objective is to cut a square shape with maximum area.

crossword of geometrical shapes

   Down

1. Volume of a cone
2. Volume of a sphere
3. Surface area of cube
4. Volume of a square prism
5. Volume of hemisphere
6. Curved surface area of cone
7. Area of a circle

Right

     8.       Curved surface area of a cylinder

     1.       Volume of a pyramid

     9.       Curved surface area of hemisphere

   10.       Surface area of sphere

         Left

              11.       Total surface area of hemisphere

              12.       Volume of a cube

The packaging design

Two views of a box is shown in the sketch. the packaging of the box having a black and white pattern on its surface.

Choose the correct packaging design by which, the box is covered from the options A,B,C and D.

The shape shown in the sketch below, obviously,  is that of a square attached to half of another similar square, divided diagonally:

Can you divide it into four pieces all of precisely the same shape and size?

                                               Courtesy: Shakunthala Devi's Puzzles to puzzle you

Orthographic views of an object is shown below. The front view, top view and side view are same. Draw the isometric view of this object.

Three balls of same size, initially at rest are rolling down from an inclined plane as shown in fig. Balls are coming to rest at different positions.

which ball is having the maximum mass? justify your answer

1. yellow ball
2. red ball
3. green ball