MCQ
A cube whose volume is $\frac18$ cubic centimeter is placed on a cube whose volume is 1cm3. The two cubes are then placed on top a third cube whose volume is 8cm3. The heigght of the stacked cubes is:
- A3.5cm
- B3cm
- C7cm
- DNone of these.
✓
Answer
- 3.5cm
Solution:
Let,
V1, V2, V3 → Volume of the three cubes
a1, a2, a3 → Side of the three cubes
We know that,
a3 = V
So,
$\text{a}^3_1=\text{V}$
$\text{a}^3_1=\frac18$
$\text{a}_1=\frac12\text{cm}$
Similarly,
$\text{a}^3_2=1$
$\text{a}_2=1\text{cm}$
And;
$\text{a}^3_3=8$
$\text{a}_2=2\text{cm}$
So the height of the resulting structure,
$=\frac12+1+2$
= 0.5 +1 + 2
= 3.5cm
The height of the structure is 3.5cm.
Hence, the correct choice is (a).
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