SQUARE BASED

The diagram shows a pyramid on a square base ABCD.The diagonals of the base, AC and BD, intersect at M.The sides of the square are 8 cm and the vertical height of the pyramid, PM, is 5cm.Calculate(a) the length of the edge PB,

Eight identical resistance each 15Omega are connected along the edge of a pyramid having square base as shown. Find the equivalent resistance between A and D in Omega

A string of length 12 is bent first into a square PQRS and then into an isosceles triangle PQT by keeping the side PQ of the square as base.Then area of the Square PQRS: area of the triangle PQT =

A broad vessel, with a square base of edga s = 10 cm is saperated into two halves A and B, by a smooth vertical piston. A spring of spring constant k =1500 N//m is filled across the compertment A and the compertment B is filled with water to a height 20 cm. Find the compression in the spring.

Suppose the height of a pyramid with a square base is decreased by p% and the lengths of the sides of its square base are increased by p% (where p>0). If the volume remains the same,then

A right pyramid in Egypt is 150m .high and has a square base with a side 220m. Determine the volume

Show that the total surface area of a closed cuboid with square base and given volume is minimum,when it is a cube.

Show that the surface area of a closed cuboid with square base and given volume is minimum,when it is a cube.