X=9 for 2, 3, 6, 7, 0 in the last digit of the student ID)
4.1 A survey officer was asked for measuring a pyramid. He measured the base of the pyramid
as the length 17.3X2 m and width 2X.052 m with a standard deviation of 3 cm and 4 cm
respectively, and measured its height as 33.253 m with a standard deviation of X cm. [Note:
Volume of a pyramid $(V) = \frac{1}{3}LWH$]
(a) Compute the volume of the pyramid. [2 marks]
(b) Determine the estimated error of the computed volume of the pyramid. [7 marks]
4.2 For a triangle ABC, the side AC is 15X.643 m with a standard deviation of 6 cm, the angle
B is 63°22'33" with a standard deviation of 1.X' and the angle C is 6X°44'3X" with a
standard deviation of 2.5".
A
B
C
(a) Compute the side AB. [2 marks]
(b) Determine the estimated error of the computed side AB. (9 marks]
