Present

Gift box has rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover with square paper with sides of 18 cm. How much paper left him?

Result

x =  100 cm2

Solution:

d=18 cm S1=d⋅ d=18⋅ 18=324 cm2  a=8 cm b=8 cm c=3 cm  S2=2⋅ (a⋅ b+a⋅ c+b⋅ c)=2⋅ (8⋅ 8+8⋅ 3+8⋅ 3)=224 cm2  x=S1−S2=324−224=100=100 cm2d = 18 \ cm \ \\ S_{ 1 } = d \cdot \ d = 18 \cdot \ 18 = 324 \ cm^2 \ \\ \ \\ a = 8 \ cm \ \\ b = 8 \ cm \ \\ c = 3 \ cm \ \\ \ \\ S_{ 2 } = 2 \cdot \ (a \cdot \ b + a \cdot \ c + b \cdot \ c) = 2 \cdot \ (8 \cdot \ 8 + 8 \cdot \ 3 + 8 \cdot \ 3) = 224 \ cm^2 \ \\ \ \\ x = S_{ 1 } - S_{ 2 } = 324 - 224 = 100 = 100 \ cm^2

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