Bricks pyramid

How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?

Correct result:

n =  107122667

Solution:

278 m=2780 dm=22×5×139 dm 272 m=2720 dm=25×5×17 dm  a=272 m h=278 m  x=50 cm→m=50/100 m=0.5 m y=32 cm→m=32/100 m=0.32 m z=40 cm→m=40/100 m=0.4 m  V0=x⋅ y⋅ z=0.5⋅ 0.32⋅ 0.4=8125=0.064 m3 V=13⋅ a2⋅ h=13⋅ 2722⋅ 278≐6855850.6667 m3  n=V/V0=6855850.6667/0.064=107122667=1.071227⋅108278 \ m=2780 \ dm=2^2 \times 5 \times 139 \ dm \ \\ 272 \ m=2720 \ dm=2^5 \times 5 \times 17 \ dm \ \\ \ \\ a=272 \ \text{m} \ \\ h=278 \ \text{m} \ \\ \ \\ x=50 \ cm \rightarrow m=50 / 100 \ m=0.5 \ m \ \\ y=32 \ cm \rightarrow m=32 / 100 \ m=0.32 \ m \ \\ z=40 \ cm \rightarrow m=40 / 100 \ m=0.4 \ m \ \\ \ \\ V_{0}=x \cdot \ y \cdot \ z=0.5 \cdot \ 0.32 \cdot \ 0.4=\dfrac{ 8 }{ 125 }=0.064 \ \text{m}^3 \ \\ V=\dfrac{ 1 }{ 3 } \cdot \ a^2 \cdot \ h=\dfrac{ 1 }{ 3 } \cdot \ 272^2 \cdot \ 278 \doteq 6855850.6667 \ \text{m}^3 \ \\ \ \\ n=V/V_{0}=6855850.6667/0.064=107122667=1.071227\cdot 10^{ 8 }

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