# Base of house

Calculate the volume of the bases of a square house, if the base depth is 1.2 m, the width is 40 cm and their outer circumference is 40.7 m.

Correct result:

V =  18.768 m3

#### Solution:

$h=1.2 \ \text{m} \ \\ s=40 \ cm \rightarrow m=40 / 100 \ m=0.4 \ m \ \\ o=40.7 \ \text{m} \ \\ \ \\ a=o/4=40.7/4=\dfrac{ 407 }{ 40 }=10.175 \ \text{m} \ \\ b=a - 2 \cdot \ s=10.175 - 2 \cdot \ 0.4=\dfrac{ 75 }{ 8 }=9.375 \ \text{m} \ \\ \ \\ S_{1}=a^2=10.175^2 \doteq 103.5306 \ \text{m}^2 \ \\ S_{2}=b^2=9.375^2 \doteq \dfrac{ 5625 }{ 64 } \doteq 87.8906 \ \text{m}^2 \ \\ \ \\ S=S_{1}-S_{2}=103.5306-87.8906=\dfrac{ 391 }{ 25 }=15.64 \ \text{m}^2 \ \\ V=S \cdot \ h=15.64 \cdot \ 1.2=\dfrac{ 2346 }{ 125 }=18.768 \ \text{m}^3$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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