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

Pyramid OABCD has square ABCD as base. Edges OA,OB,OC and OD are equal in length and /_AOB=45^(@) .If length of the side of the square base is 2sqrt(2) and volume of pyramid is V ,then (9V^(2))/(256) is equal to

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.

OABCD is a pyramid with square base ABCD such that bar(OA),bar(OB),bar(OC),bar(OD) are unit vectors and bar(OA) , bar(OB) = bar(OB) .bar(OC) = bar(OC) . bar(OD) = bar(OD) . bar(OA) =1/2, then volume of the pyramid is