# Excavation

Excavation for the base of the cottage 4.5 m x 3.24 m x 60 cm. The excavated soil will increase its volume by one-quarter. Calculate the volume of excavated soil.

Result

V =  10.935 m3

#### Solution:

$a = 4.5 \ m \ \\ b = 3.24 \ m \ \\ c = 60/100 = \dfrac{ 3 }{ 5 } = 0.6 \ m \ \\ V_{ 1 } = a \cdot \ b \cdot \ c = 4.5 \cdot \ 3.24 \cdot \ 0.6 = \dfrac{ 2187 }{ 250 } = 8.748 \ m^3 \ \\ V = (1+1/4) \cdot \ V_{ 1 } = (1+1/4) \cdot \ 8.748 = \dfrac{ 2187 }{ 200 } = 10.935 = 10.935 \ m^3$

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