### Video Transcript

A rectangular prism-shaped swimming
pool has a base with dimensions of sixty-seven metres and thirty-two metres and a
height of three metres. Water fills the pool up to a height
of twenty-seven centimetres from the brim of the pool. Find the volume of water in cubic
metres.

Right then, let’s start with a
little sketch of the rectangular prism-shaped swimming pool. Now it’s not a scale; the width is
thirty-two metres, the length is sixty-seven metres, and the height is three
metres. And when we add the water, it
doesn’t quite fill the pool; it leaves a twenty-seven centimetres gap at the
top. And when we look at the water, we
can see we’ve got a different rectangular prism shape. So it still got the same width of
thirty-two metres; it still got the same length of sixty-seven metres. But the height isn’t quite as big
as three metres. It’s the three metres take away the
twenty-seven centimetres.

Now our question has asked us to
find the volume of the water in cubic metres. So I’m gonna need to convert this
height whatever it is into metres. So I can’t do a calculation of
three metres minus twenty-seven centimetres unless they’re in the same unit. So I’m gonna convert centimetres
into metres so I can work purely in metres. Now one metre contains a hundred
centimetres. So to convert those centimetres
into metres, I’m gonna need to divide it by a hundred. And twenty-seven divided by a
hundred is nought point two seven. So twenty-seven centimetres is
nought point two seven metres. And three metres minus nought point
two seven metres is two point seven three metres. So the depth of the water is two
point seven three metres.

Hopefully you recall that the
volume of a rectangular prism is equal to its length times its width times its
height. Now we have those numbers that we
can work that out for the water. Well the length is sixty-seven
metres, the width is thirty-two metres, and the height is two point seven three
metres. When I put those into my
calculator, I get five thousand eight hundred and fifty-three point one two. Now because our units of length
were metres. Metres times metres times metres
gives us metres cubed or cubic metres. So the answer is the volume of
water in cubic metres is five thousand eight hundred and fifty-three point one two
cubic metres.