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Question

The area of an equilateral triangle is √23 sq. cm. The side of the equilateral triangle is:

The correct answer is

√41 cm

Area of an equilateral triangle = (√3 / 4) × side². Given, the area = √23, so (√3 / 4) × side² = √23. Solving for side, we get side = √41 cm.

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Important Questions from Mensuration

  1. In a circular garden of radius 15 m, a path of 2 m wide has to be made inside the garden at the rate of ₹ 24 per sq. m. The cost of making the path is: (Take π = \(\frac{22}{7}\) )

  2. A hollow cylinder with outer radius 4 cm and height 2 cm is made up of 1 cm thick metal sheet. What is the volume of metal used? (Take π = \(\frac{22}{7}\))

  3. The length and breadth of a rectangular field are in the ratio 4 : 3. If the cost of cultivating the field at 2 per m 2is 600, then the length of the field is:

  4. A cylindrical tank has a capacity of 5632 m3. If the diameter of its base is 8 m, what is the depth of the cylindrical tank? (Use π = \(\frac{22}{7}\))

  5. Find the surface area of a sphere whose diameter is equal to 28 cm.

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