The Scout Tent

The Scout Tent has a rectangular wooden underlay with dimensions of 220 cm and 150 cm. How much canvas is needed for a 170 cm high of pyramid roof?

Correct result:

x =  7.1251 m2

Solution:

a=220 cm→ m=220/100  m=2.2 m b=150 cm→ m=150/100  m=1.5 m h=170 cm→ m=170/100  m=1.7 m  h1=h2+(b/2)2=1.72+(1.5/2)2≐1.8581 m h2=h2+(a/2)2=1.72+(2.2/2)2≐2.0248 m  S1=a⋅ h1/2=2.2⋅ 1.8581/2≐2.0439 m2 S2=b⋅ h2/2=1.5⋅ 2.0248/2≐1.5186 m2  x=2⋅ (S1+S2)=2⋅ (2.0439+1.5186)=7.1251 m2

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