The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 4.3cm

Assessment: JAMB UTME - Mathematics - 1987 Subject: General Mathematics

Question 1 Report

The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 4.3cm
Answer Details
Base of pyramid of a square of side 8cm vertex directly above the centre edge =  4 3 cm
From the diagram, the diagonal of one base is AC2 = 82 + 82
Ac2 = 64 + 64 = 128
AC =  8 2
but OC =  1 2 AC = 8 2 2  =  4 2 cm
OE = h = height
h2 = ( 4 3 )2
16 x 2 - 16 x 2
48 - 32 = 16
h =  16
= 4

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