Question

a conference center is in the shape of a square pyramid with a base of a length of 219.8 m and a height of 174.34 m. To the nearest cubic meter, what is the approximate volume of the coference center?

Answer 1

The volume of a square pyramid is

`V=( (1)/(3)) b^(2) h`

where b is the length of the base and h is the height

So plugging the numbers into the formula,

`V=( (1)/(3)) b^(2) h`

`V=( (1)/(3)) (219.8m)^(2) (174.34m)`

`V=( (1)/(3)) (48312.04m^(2)) (174.34m)`

`V=( (1)/(3)) (8422721.0536m^(3))`

`V=2807573.68453m^(3)`
the question says to the nearest cubic meter so the answer rounds up to

`V=2807574m^(3)`

The answer is
`V=2807574m^(3)`