Question

It is hard to calculate the volume of a mountain but several estimates put the volume of Mount Everest at around 2,413 cubic kilometers. The Dallas Cowboys Stadium (currently the largest football stadium in the U.S.) has a volume of 140 million cubic feet. How many Cowboy stadiums could fit inside of Mount Everest?

Estimate an answer to this question and explain your estimation process. Be sure to state what facts or ideas you used to help.

Answer 1

About 609,000 Cowboy stadiums could fit inside of Mount Everest

Explanation:

we have

The estimate volume of Mount Everest is at around
`2,413\ km^(3)`

The Dallas Cowboys Stadium has a volume of
`140,000,000\ ft^(3)`

step 1

Convert ft³ to km³

we know that

1 km=3,280.84 ft

so

`140,000,000\ ft^(3)=140,000,000*(1/3,280.84)^(3)=0.003964\ km^(3)`

step 2

To find how many Cowboy stadiums could fit inside of Mount Everest, divide the volume of Mount Everest by the volume of the Dallas Cowboys Stadium

`2,413/0.003964=608,729`

Round to the nearest Thousands

`608,729=609,000`

The volume of Mount Everest is about 609,000 times greater than the volume of the Dallas Cowboys Stadium