Prism bases

Volume perpendicular quadrilateral prism is 360 cm3. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism.

Correct answer:

S1 =  86.535 cm2
S2 =  34.614 cm2
S3 =  43.2675 cm2

Step-by-step explanation:

V=360 cm3 a:b:c=5:4:2 a:b:c=5k:4k:2k V = abc = 5 4 2 k3  k=3V/(5 4 2)=3360/(5 4 2)2.0801 cm  a=5 k=5 2.080110.4004 cm b=4 k=4 2.08018.3203 cm c=2 k=2 2.08014.1602 cm  S1=a b=10.4004 8.3203=86.535 cm2
S2=b c=8.3203 4.1602=34.614 cm2
S3=c a=4.1602 10.400443.2675 cm2   Verifying Solution:   V2=a b c=10.4004 8.3203 4.1602=360 cm3

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