1.

Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2)and height h is given by V= (ha^(2))/( 3) andS = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. What is ratio of length of side to the height ?

Answer»

`(1)/(5)`
`(2)/(5)`
`(5)/(24)`
`(5)/(3)`

Solution :We have ` a = 24andy = 5`
`(a)/(y) = (5)/(24)`
THUS (c) is CORRECT OPTION.


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