Question 1078977: a square pyramid's base has a perimeter of 96 cm and a total surface area of 2352 square cm.
a) find its volume
b) how many liters will fit in this pyramid
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Perimeter is 96 cm so side is 24 cm and area of base is 24^2=576 cm^2
that leaves 1776 cm^2 for 4 sides, so each side has to have an area of 444 cm^2.
The base is 24 cm, and the slant height must be 37 cm, so that 1/2*b*h=444
The volume needs h, which is 12^2+h^2=37^2, where the slant height becomes the hypotenuse.
144+h^2=1369
h^2=1225
h=35 cm
V=(1/3)Bh=(1/3)*573*35=6685 cm^3
That is 6.685 liters.
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