Tent Cube
Posted on Sunday, May 15, 2011 in Photography
Geometry Homework Help?
The High Country Tent Company wants to produce a tent the provides adequate interior space for moving around and sleeping but uses a minimum amount of material. High Country has determined that the tent need 60 ft 3 (cube) of space. They are considering three possible designs.
1. A hemisphere tent
2. A tent shaped like a triangular prism. The floor of the tent would be a rectangle with dimensions 4ft by 6 ft. The two triangular ends would be isosceles triangles with base length 4ft ( short side of the floor).
3.A square pyramid tent with height 5 ft.
Calculate showing the height of the tallest person who can sleep stretched out in each tent.
Thanx 4 the help I'm terrible at math 
V=1/2*1/3Pr3
2*60=1/2*4/3(P)r3*2
3/4*120=4/3(P)r3*3/4
90/P=Pr3/P
28.65-r3
r=3.05
SURFACE AREA
SA=4Pr2
4(P)(3.05)
SA=116.89ft
SURFACE AREA
116.89/2
3.05*p+58.445
SA=8.6ft
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ez cube light tent
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