Quadrangular prism

Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal of 22 cm.

Correct result:

V =  8470 cm3
S =  2661.889 cm2

Solution:

u=22 cm a=u/2=22/2≐11 2 cm≐15.5563 cm S1=a2=15.55632=242 cm2 h=35 cm V=S1⋅ h=242⋅ 35=8470 cm3
S2=4⋅ a⋅ h=4⋅ 15.5563⋅ 35≐2177.8889 cm2 S=2⋅ S1+S2=2⋅ 242+2177.8889=2661.889 cm2S_{2}=4 \cdot \ a \cdot \ h=4 \cdot \ 15.5563 \cdot \ 35 \doteq 2177.8889 \ \text{cm}^2 \ \\ S=2 \cdot \ S_{1} + S_{2}=2 \cdot \ 242 + 2177.8889=2661.889 \ \text{cm}^2

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