Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular sides meeting at an apex. 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 a2 and height h is given by V ha 3 2 = and Sa a h 2 2 a 2 = + +2 2 ^ h A pyramid has a square base and a volume of 3 18 27 yyy 3 2 + + cubic units.
41. If its height is y , then what polynomial represents the length of a side of the square base ?
(a) 9 3 ( ) y + (b) 9 3 ( ) y 2 + (c) 3 3 ( ) y + (d) 3 3 ( ) y 2 +
42. If area of base is 576 metre, what is the side of base? (a) 24 metre (b) 16 metre (c) 13 metre (d) 12 metre
43. What is the height of pyramid at above area of base ? (a) 4 metre (b) 6 metre (c) 5 metre (d) 12 metre
44. What is the ratio of length of side to the height ? (a) 5 1 (b) 5 2 (c) 24 5 (d) 5 24 45. What is surface area of pyramid ? (a) 800 m2 (b) 2400 m2 (c) 1200 m2 (d) 1600 m2
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Answer:
42. a
44 b
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