The VEI is logarithmic, but bracketed: each step labels a range of erupted-tephra volumes, not a single value. The canonical Newhall & Self (1982) ranges are: VEI 1 ≈ 10⁴–10⁶ m³ (10⁻⁵–10⁻³ km³), VEI 2 ≈ 10⁶–10⁷ m³ (0.001–0.01 km³), VEI 3 ≈ 10⁷–10⁸ m³ (0.01–0.1 km³), VEI 4 ≈ 0.1–1 km³, VEI 5 ≈ 1–10 km³, VEI 6 ≈ 10–100 km³, VEI 7 ≈ 100–1000 km³, VEI 8 ≥ 1000 km³.
The "10× per step" rule of thumb describes the ratio between successive upper bounds, not individual eruptions. Pinatubo 1991 erupted ~10 km³ of bulk tephra — the lower end of VEI 6. The 100 km³ figure on the VEI 6 chip is the upper bound of that bracket, not the Pinatubo eruption itself.