Question
A cube whose volume is $\frac{1}{8}$ cubic centimeter is placed on top of a cube whose volume is $1\ cm^3.$ The two cubes are then placed on top of a third cube whose volume is $8\ cm^3.$ The height of the stacked cubes is:
✓
Answer
Let $a, b, c.$ be the sides of three cubes
Then $a^3 =\frac{1}{8}$
$\Rightarrow\text{a}=\frac{1}{2}$
$b^3= 1 $
$\Rightarrow b = 1$
$c^3 = 8 $
$\Rightarrow c = 2,$
Now height of resulting cube
$0.5 + 1 + 2 $
$= 3.5\ cm$
Then $a^3 =\frac{1}{8}$
$\Rightarrow\text{a}=\frac{1}{2}$
$b^3= 1 $
$\Rightarrow b = 1$
$c^3 = 8 $
$\Rightarrow c = 2,$
Now height of resulting cube
$0.5 + 1 + 2 $
$= 3.5\ cm$
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