Mathematics
aldoarreaga10
23

The pyramid shown has a square base that is 18 inches on each side. It has a surface area of 864 square inches. What is the slant height

+2
(1) Answers
ColbySmetak

The first step is to find the relationship between the square base and the surface area. Surface area (SA) = area of the square (SS) + area of triangles.4(AT)  Thus we can conclude area of triangles 4(AT) = SA - SS = 864 - (18*18) 4(AT) = 864 - 324 = 540 Each triangle = 540/4 = 135 square in. An area of one triangle (AT)= (base* slant height)/2 The base = 18 in. slant height = 2(AT)/base = 2(135)/18 = 15

Add answer