240 cubic Miles of fresh volcanic material in a sudden violent manner?

According to the United States Geological Survey (USGS), a supervolcano is any  
volcanic center that has explosively erupted at least 1,000 cubic kilometers (240 cubic miles) of fresh volcanic material in a sudden, violent manner – in a so-called supereruption – often producing a huge depression crater named a caldera. This rules out flood basalts, large effusions of lava that can spend a million years or so scorching the earth and massively altering the climate.
end partial quote from:
https://intuitivefred888.blogspot.com/2018/07/here-is-what-supervolcano-actually-is.html

First of all do you really understand what a cubic mile is?

A Cubic mile of fresh volcanic material would be 5,280 feet by 5,280 feet by 5,280. and if you stacked these 240 cubic miles of lava on top of each other that would be 1 million, 267 thousand and 200 feet high or

more easily said this would be 240 miles high.