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Equation 1 · Part 3 · The Real Resource Footprint of Building Colossus

=

PGPU=NGPU×TDPGPU=100,000×700 W=70 MW.P_{\mathrm{GPU}} = N_{\mathrm{GPU}} \times \mathrm{TDP}_{\mathrm{GPU}} = 100{,}000 \times 700\ \mathrm{W} = 70\ \mathrm{MW}.
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

The technical starting point is disclosed with unusual precision, because Nvidia had a marketing interest in disclosing it. In an October 2024 press release, Nvidia stated that Colossus connected up to 100,000 liquid-cooled H100 GPUs on a single RDMA fabric using its Spectrum-X Ethernet platform, built in 122 days from the first rack’s arrival, with only 19 days between first rack and the start of training, and quoted Musk calling it “the most powerful training system in the world” [ 4 ] . Nvidia’s own current H100 product page lists the SXM variant’s thermal design power at up to 700 watts, configurable [ 5 ] . That is enough to write a first, deliberately narrow equation — the power draw…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.