Question

find the ratio of lateral to total surface area of a cube

Answer 1

total
surface area = 6*side squared=6a*a
lateral surface area=area of 4 sides =4*a*a
so ratio is 4/6=2/3=2:3

Answer 2

Answer:

$Ratio \: of \: \\lateral \: surface \: Area \:to \: \\Total \: surface\: Area \\=2:3$

Step-by-step explanation:

Let side of a cube = a units

/* We know that ,

$\boxed {Lateral\: surface \: Area \:(A_{1})\\=4a^{2}\: square \:units }$

$\boxed {Total\: surface \: Area \:(A_{2})\\=6a^{2}\: square \:units }$

Now ,

$Ratio \: of \: \\lateral \: surface \: Area \:to \: \\Total \: surface\: Area \\= \frac{A_{1}}{A_{2}}\\=\frac{4a^{2}}{6a^{2}}\\=\frac{2}{3}$

Therefore,

$Ratio \: of \: \\lateral \: surface \: Area \:to \: \\Total \: surface\: Area \\=2:3$

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