# 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

#### 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  .

Concept: Surface Area of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.4 | Q 22 | Page 37

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