MCQ

A cube whose volume is 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

#### Options

3.5 cm

3 cm

7 cm

none of these

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#### Solution

Let,

V_{1}.V_{2},V_{3 → }Volumes of the three cubes

a_{1},a_{2},a_{3} _{→ }Sides of the three cubes

We know that,

a^{3} = V

So,

`a_1^3 = V_1`

`a_1^3 = 1/8`

`a_1 = 1/2 cm`

Similarly,

`a_2^3 = 1`

a_{2} = 1 cm

And;

`a_3^3 = 8`

a_{2} = 2 cm

So the height of the resulting structure,

`=1/2+1+2`

= 0.5 + 1 + 2

= 3.5 cm

The height of the structure is **3.5 cm ** .

Concept: Surface Area of a Cuboid

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