Construct an isosceles triangle ABC having base BC=6 cm and the altitude AD=4 cm. Also, construct a parallelogram CDEF equal in area to △ABC and having one angle CDE=45°.
If the length of the side of the base(BC) is 16 cm and the length of the lateral edge(PD) is 2√41 cm, find the volume of the pyramid.
The volume of a cylinder with a diameter of its base 14 cm is 2156 cm3. Find the height of the cylinder.
The total surface area of cone whose base is 5 m is \(282\frac67\) m2. Find the slant height of the cone.
In the given figure, AB= 10 cm, AA' =20 cm, AC= 8 cm and the area of rectangular surfaces of the prism is 480 square cm, find the length of BC.
The present price of a motorcycle is Rs 225000. If its price is depreciated per year by 8%, after how many years the price of the motorcycle will be Rs 175204.8? Find it.
In the given figure, AD//BC. If the areas of the triangle ABE and Triangle ACF are equal, then prove that EF//AC.
The area of a rectangular room is 45 meter square. If the length of the room is 3m less and breadth is 1m more, it will be a square room, find the length and the breadth of the room.
Given solid is made of cone and cylinder. The base area of the cylinder is 100 sq. cm and the height of the cylinder is 3cm. If the volume of the whole solid is 600 cubic cm, find the height of the whole solid.
Calculate the difference between half yearly compound interest and simple interest of Rs. 8000 for 1(1/2) years at the rate of 10% per annum.