Base side

In a quadrilateral prism, are known surface area S = 12400 mm2, base side m = 40mm, and prism height = 120mm. What is the length of base side n =?

Correct answer:

n =  8.75 mm

Step-by-step explanation:

S=12400 mm2 m=40 mm h=120 mm  S1=m2=402=1600 mm2  S=2 (m n+n h+h m) 12400=2 (40 n+n 120+120 40)  320n=2800  n=3202800=8.75=8.75 mm  n=435=8.75   Verifying Solution:  A=2 (m n+n h+h m)=2 (40 8.75+8.75 120+120 40)=12400 mm2

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