Cube walls

Find the volume and surface area of the cube if the area of one wall is 40cm2.

Correct result:

V =  252.982 cm3
S =  240 cm2

Solution:

S1=40 cm2  a=S1=402 10 cm6.3246 cm  V=a3=6.32463=80 10=252.982 cm3S_{1}=40 \ \text{cm}^2 \ \\ \ \\ a=\sqrt{ S_{1} }=\sqrt{ 40 } \doteq 2 \ \sqrt{ 10 } \ \text{cm} \doteq 6.3246 \ \text{cm} \ \\ \ \\ V=a^3=6.3246^3=80 \ \sqrt{ 10 }=252.982 \ \text{cm}^3
S=6 S1=6 40=240 cm2S=6 \cdot \ S_{1}=6 \cdot \ 40=240 \ \text{cm}^2



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