Question
The base of the triangular area is two times its
height. If the cost of farming area is Rs. 2000 and Rs. 80 per hectare. Find its base (1 hectare = 10000 m²). ÂSolution
Area of the field = Total cost/rate = 2000/80 = 25 hectares  = 25 x 10000 m2 = 250000 m2 Let altitude = a m Then base = 2a Now, ½ x b x h = 250000 ½ x 2a x a = 250000 a2 = 250000 a = 500 m base = 1000 m
The volume of a cuboid whose length, breadth, and height are in the ratio 5:3:2, respectively, is 3,000 cm³. Find the lateral surface area of the cuboi...
The lateral surface area of frustum of a right circular cone, if the area of its base is and the diameter of circular upper surface is 4 cm and slant he...
A pyramid has a square base with a height of 12 cm. Each of the pyramid's faces is an equilateral triangle, and the area of each face is 64√3 cm². Fi...
The area of a rhombus is 168 cm2. The length of one of its diagonals is 28 cm. The length of the other diagonal is:
Find the time taken by a pipe, which releases 134.4 m3 of water in a minute to fill an empty cylindrical tank of radius 16 m and height 14 m....
The perimeter of 3 squares is 30 cm, 36 cm and 42 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 3 squar...
In an exam of 100 marks, the average marks of a class of 38 students are 72. If the top 3 scorers of the class leave, the average score falls “dow...
The volume and height of a cylinder are 7986 cm3 and 21 cm. Find the radius of the cylinder.
The length of sides of a square is twice the radius of a circle and perimeter of a rectangle is half the perimeter of the square. If the sum of length a...
- The curved surface area of a cone is 2013.6 cm² and its radius is 12 cm. Determine the height.