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CORRECT MEASUREMENT OF LENGTH In our daily life we use various types of measuring devices. We use a metre scale for measuring length. A tailor uses a tape, whereas a cloth merchant use a metre rod. For measuring the length of an object, you much choose a suitable device. You cannot measure the girth of a tree or the size of your chest using a metre scale, for instance. Measuring tape is more suitable for this. For small measurement, such as the length of your pencil, use can use a 15 cm scale from your geometry box. In taking measurement of a length we need to take care of the following: 1. Place the scale in contact with the object along its length. 2. In some scales, the ends may be broken. You may not be able to see the zero mark clearly. In such cases, you should avoid taking measurement from the zero mark of the scale. You can use any other full mark of the scale, say, 1.0 cm. Then you must subtract the reading of this mark from the reading at the other end. For example, the reading at one end is 1.0 cm and the other end it is 14.3 cm. Therefore, the length of the object is (14.3-1.0) cm = 13.3 cm. 3. Correct position of the eyes is also important for taking measurement. Your eyes must be exactly in front of the. Position ‘B’ is the correct position of the eyes. Note that from position ‘B’ the reading is 7.5 cm. From position ‘A’ and ‘C’, the readings may be different. Activity : Measurement the height of your classmate using hand span and then by using a metre scale. For this, ask your classmate to stand with his back against a wall. Make a mark on the wall exactly above his head. Now, measure the distance from the floor to this mark on the wall with your handspan and then with a metre scale. Let all other students measure this length in a similar way. |
19 boys turn out for playing hockey. Of these, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and pants. What is the number of boys wearing full uniform ? |
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Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12? |

You are given balls and stick model of six carbon atoms and fourteen hydrogen atoms and sufficient number of sticks. In how many ways one can join the models of six carbon atoms and fourteen hydrogen atoms to form different molecules of C6H14.

Two dairy owners A and B sell flavored milk filled to capacity in mugs of negligible thickness, which are cylindrical in shape with a raised hemispherical bottom. The mugs are 14 cm high and have diameter of 7 cm as shown in given figure. Both A and B sell flavored milk at the rate of Rs. 80 per liter. The dairy owner A uses the formula πr2h to find the volume of milk in the mug and charges Rs. 43.12 for it. The dairy owner B is of the view that the price of actual quantity of milk should be charged. What according to him should be the price of one mug of milk? Which value is exhibited by the dairy owner B? (Use π = 22/7)

Capacity of mug (Actual quantity of milk) = πr2h - 2/3 πr3

= πr2(h - 2r/3)

r = 7/2 and h = 14

Capacity of mug = 2695/6 cm3

Amount dairy owner B should charge for one mug of milk

= 2695/6 × 80/1000

= Rs. 35.93

Value exhibited by dairy owner B: honesty