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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
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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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