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A pyramid with a square base with a side length of 16cm is sketched below. P lies on the square base directly below A. The volume of the pyramid is $64 cm^3$

1. Show that the prependicular height of the pyramid, AP, is 7.5cm
2. Hence, determine the total surface area of the pyramid

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1. V= Ah/3

640= (16x16xh)/3

h= 7.5cm

2. slant h= sqroot(7.5^2 + 8^2) = 10.965...

total surface area= (16x16) + 4(16x10.96...)/2

= 606.91cm^2
by Diamond (38,545 points)

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