Regular prism

The regular four-sided prism has a base of 25 cm2 and a surface of 210 cm2. Find its volume.

Correct result:

V =  200 cm2

Solution:

S1=25 cm2 S=210 cm2  a=S1=25=5 cm  S=2⋅ S1+4av  v=(S−2⋅ S1)/(4⋅ a)=(210−2⋅ 25)/(4⋅ 5)=8 cm  V=S1⋅ v=25⋅ 8=200 cm2

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