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 Determine the area of the base and walls of the prism.

Correct result:

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

Solution:

V=360 a:b:c=5:4:2 V=abc=5 4 2 k3 k=V/(5 4 2)3=360/(5 4 2)32.0801 a=5 k=5 2.080110.4004 b=4 k=4 2.08018.3203 c=2 k=2 2.08014.1602 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 10.4004=43.2675 cm2



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