Carbon Nanotubes are so light that they float in airpic.twitter.com/AlHWeap8cm
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Here's what makes Carbon Nanotubes so impressive:
Carbon Nanotubes have a "tensile strength" σ of about 60 Giga-Pascals
That's 60,000 Newtons per square 𝑚𝑖𝑙𝑙𝑖𝑚𝑒𝑡𝑒𝑟
For reference, an 
weighs about 20,000 Newtonspic.twitter.com/oJJji9CozA
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Engineering Difficulties of CNT:
Most nanotubes are constructed with a cross sectional area of about 1nm²
This yields the max. applied force of ~ 10⁻⁸ N
Therefore, the main engineering difficulty is constructing "large scale" Carbon Nanotubes
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Any explanation for how a solid material is lighter than air?
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It's just the buoyant force and the gravitational force are close to one another
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