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  1. Area is the region occupied by a shape. Perimeter is total distance covered by the boundary of a shape. Area is measured in square units (m2, cm2, in2, etc.) Perimeter is measured in units (m, cm, in, feet, etc.) Example: Area of rectangular ground is equal to product of its length and breadth.

  2. = (500×31680) cm 2 = 15840000 cm 2 = 1584 m 2. Therefore, the area of the playground is 1584 m 2. 5. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of Rs. 12.50 per m 2. (Assume π = 22/7) Solution: Let h be the height of a cylindrical pillar and r be the ...

  3. Assume the ratio that is common to be m. Let the numbers 2m and 3m. Product of assumed numbers = product of least common multiple and highest common factor => 2m * 3m = 294 => m 2 = 49 => m = 7. The numbers are 2m = 2 * 7 = 14 and 3m = 3 * 7 = 21. The required numbers are 14 and 21. Practice Questions. Find the LCM of 15 and 13. Find the LCM of ...

  4. r = 12 cm. 3. A 20 m deep well with a diameter of 7 m is dug, and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform. Solution: It is given that the shape of the well is the shape of a cylinder with a diameter of 7 m. So, radius = 7/2 m. Also, Depth (h) = 20 m

  5. (2) An object of height 5 cm is held 20 cm away from converging lens of focal length 10 cm. Find the position, nature and size of the image formed. (3) An object is placed at a distance of 10 cm from a convex lens of focal length 12 cm. Find the position and nature of the image.

  6. In the given figure AB = 8 cm. M is the midpoint of AB. Semi circles are drawn on AB, AM and MB as diameter. A circle with centre ‘O’ touches all three semi circles as shown. Prove that the radius of this circle is .

  7. The procedure to use the Dimensional Analysis calculator is as follows: Step 1: Enter two physical quantities in the respective input field. Step 2: Now click the button “Submit” to get the analysis. Step 3: Finally, the dimensional analysis will be displayed in the new window. Here, the SI units are given along with their respective ...

  8. Find the usual speed. Q. A a scooterist covered a distance of 3 deca metres in 5 minutes .Calculate its speed in. a)metres per second. b)cm per second. c)kilometres per hour. Q. A scooterist completes a certainjoumey in 10 h. He covers half the distance at 30 km/h and the rest at 70 km/h.

  9. Three strings of lengths 50 m 75 cm, 68 m 58 cm and 121 m 3 cm, respectively, are joined together to get a single string of greatest length, and the length of the single string obtained. If this single string is then divided into 12 equal pieces, find the length of each piece.

  10. The surface tension of water is 72 dyne/cm. Convert it in SI unit. Q. The surface tension of a liquid in CGS system is 45dynecm−1. Its value in SI system is: View More. The surface tension of water is 72 dyne/cm. Convert it in SI unit.

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