All Fermi answers
Fermi #32 · Question 3

How many Rubik's Cubes would fit in a Nissan Cube?

Explore the official answer and the simple reasoning behind this Fermi estimate.

3QUESTION 3 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

2013 Nissan Cube

2013 Nissan Cube

A silver Nissan Cube parked outside a car dealership, seen from the front left, showing its tall boxy body

Illustration from Fermi.gg

Answer & explanation

Official answer

14,000

Rubik's Cubes

How to estimate it

Fermi’s official “Napkin math”

A Cube is a small box on wheels. Fill the whole inside, seats and all, and you have maybe 3,000 litres. A Rubik's Cube is about 6 centimetres a side, so a bit under a fifth of a litre. That is 5 to the litre.

Interior space
~3,000 L
Rubik's Cubes per litre
× 5
3,000 × 5
≈ 15,000

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Nissan Cube total interior volume (passenger 97.7 + cargo 11.4)
= 109.1 ft³ (3,089 L)
Volume of one Rubik's Cube (5.7 cm sides)
≈ 185 cm³
Packing efficiency (cubes in an irregular space)
× 0.85
3,089,000 ÷ 185 × 0.85
≈ 14,000

Reference cited by Fermi: Nissan Cube interior volume specification and standard 5.7 cm Rubik's Cube dimensions

How close was your guess?

Your comparison will appear here.

Compare by ratio: divide the larger number by the smaller one. The closer to 1×, the better.

Skip to main content