Question

A cube whose volume is 1/8 cubic centimeter is placed on top of a cube whose volume is 1 cm³. The two cubes are then placed on top of a third cube whose volume is 8 cm³. The height of the stacked cubes is

Options

• 3.5 cm

• 3 cm

• 7 cm

• none of these

Answer 1

Let,

 V₁.V₂,V_{3 →} Volumes of the three cubes

a₁,a₂,a_{3 →} Sides of the three cubes

We know that,

a³ = V

So,

`a_1^3 = V_1`

`a_1^3 = 1/8`

`a_1 = 1/2 cm`

Similarly,

`a_2^3 = 1`

a₂ = 1 cm 

And;

`a_3^3 = 8`

a₂ = 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  .