Cube 1-2-3

Calculate the volume and surface area of the cube ABCDEFGH if:
a) /AB/ = 4 cm
b) perimeter of wall ABCD is 22 cm
c) the sum of the lengths of all edges of the cube is 30 cm.

Correct result:

V1 =  64 cm3
S1 =  96 cm2
V2 =  166.375 cm3
S2 =  181.5 cm2
V3 =  15.625 cm3
S3 =  37.5 cm2

Solution:

a1=4 V1=a13=43=64 cm3
S1=6 a12=6 42=96 cm2
a2=22/4=112=5.5 V2=a23=5.53=13318=13318 cm3=166.375 cm3
S2=6 a22=6 5.52=3632=3632 cm2=181.5 cm2
a3=30/12=52=2.5 V3=a33=2.53=1258=1258 cm3=15.625 cm3
S3=6 a32=6 2.52=752=752 cm2=37.5 cm2



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