Question
The side of a square is equal to the perimeter of an
equilateral triangle of area 36√3 cm2 . Find the area of the square?Solution
Area of equilateral triangle = (√3 x side2)/4 ⇒ (√3 x side2)/4 = 36√3 ⇒ Side = 12 cm Perimeter of equilateral triangle = 3 x side = 3 x 12 = 36 cm Side of square = 36 cm Area of square = (Side)2 cm2 Area of square = 1296 cm²
The volume of cone is 1267.2 cm3. If its height is 2.1 cm then find the radius of the cone.
If the volume of a cuboidal tank is 3240 m3 and the ratio of the length, width and height of tank is 6:5:4 respectively then find the height ...
If ratio of interior & exterior angle of a regular polygon is 5:3, then number of sides of the polygon is
The curved surface area of a right cylinder is 3696 cm³. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (T...
The dimensions of a rectangular park are 54 meters in length and 'b' meters in breadth. Given that the perimeter of the park is 168 meters, determine th...
A rod is in the form of a circle of radius 35 cm. What is the side of a square into which it can be bent?
The perimeter of a rhombus is 56 m and its height is 5 m. Its area is:
- The base area of a rectangular cistern is 1080 m², and it holds a volume of 32400 m³ of water. What is the depth of the water in the cistern?
The ratio of the length of a rectangle, breadth of the rectangle and the diameter of a circle is 11:10:7. If the area of the circle is 616 cm2
The weight of a cubic metre metal is 1215 kg. It is melted and cast into a square rod of 9m length. A solid cube of maximum size is taken out from one e...
