The body

The body on the figure consists of cubes with an edge length 10 cm. What surface has this body?

Result

S =  8800 cm2

Solution:

a=10 cm S1=a2=102=100 cm2  x=2 8+3 3+4=29 y=2 4+2 5+2 4+2 15+3=59  S=S1 (x+y)=100 (29+59)=8800=8800 cm2a = 10 \ cm \ \\ S_{ 1 } = a^2 = 10^2 = 100 \ cm^2 \ \\ \ \\ x = 2 \cdot \ 8+3 \cdot \ 3+4 = 29 \ \\ y = 2 \cdot \ 4+2 \cdot \ 5+2 \cdot \ 4+2 \cdot \ 15+3 = 59 \ \\ \ \\ S = S_{ 1 } \cdot \ (x+y) = 100 \cdot \ (29+59) = 8800 = 8800 \ cm^2



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