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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 Stacked Cubes is - Mathematics

MCQ

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

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Solution

Let,

 V1.V2,V3 → Volumes of the three cubes

a1,a2,a3 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  .

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Q 22 | Page 37
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