Cube walls

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

Result

V =  252.982 cm3
S =  240 cm2

Solution:

S1=40 cm2 a=S1=40=2 10 cm6.3246 cm  V=a3=6.32463=80 10252.9822=252.982 cm3S_{ 1 } = 40 \ cm^2 \ \\ a = \sqrt{ S_{ 1 } } = \sqrt{ 40 } = 2 \ \sqrt{ 10 } \ cm \doteq 6.3246 \ cm \ \\ \ \\ V = a^3 = 6.3246^3 = 80 \ \sqrt{ 10 } \doteq 252.9822 = 252.982 \ cm^3
S=6 S1=6 40=240=240 cm2S = 6 \cdot \ S_{ 1 } = 6 \cdot \ 40 = 240 = 240 \ cm^2



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