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Olympic gold medal winter Ian Thorp competes in a pool with required dimensions 25 by 50 by two meters.
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What is the volume of the Olympic-sized pool?
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The first thing we would want to do is make a sketch of what the pool might look like.
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In this case, our pool has a width of 25 meters.
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So we can label this side 25 meters.
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The length of the pool would be 50 meters, and the depth of the pool is two meters.
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Now that we have a visual of this pool, we need to remember what volume is.
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The volume of any solid is equal to the area of the base times the height.
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What is the base of this pool, and how would we find the area of that base?
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We could think of the base of this pool as the bottom of the pool, the area of the flat surface that makes up the bottom of the pool.
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And the bottom of this pool is a rectangle.
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So to find the area of a rectangle, we multiply the length times the width.
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To start finding the volume here, we’ll need to multiply the length times the width of this base rectangle of our pool.
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The pool has a length of 50 meters and a width of 25 meters.
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Now we need to multiply 50 meters by 25 meters, 50 times 25 which equals 1250.
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But don’t forget that we’ve also multiplied meters by meters, 55 meters by 25 meters, to find the area of our base.
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This means that it’s not 1250 alone; it’s 1250 meters squared.
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But now we’ve only found the area of the base of this pool; we have not found the volume.
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To find the volume, we’ll need to take the area of the base of our pool, the area of the bottom of the pool, and multiply it by its height.
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Or another way to say it, is multiply it by how deep the pool is.
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The height of our pool, or the depth of our pool, can be found here.
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This pool is two meters deep, which means we need to multiply the area of the base by two meters.
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We need to multiply 1250 meters squared by two meters.
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1250 multiplied by two equals 2500.
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Here, we’ve multiplied meters squared by meters, so our volume, the units of our volume, is meters cubed.
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The volume of this Olympic-sized pool would be 2500 meters cubed.
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We found this by multiplying the area of the base of our pool times the height.
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In this case, our pool is shaped like a rectangle.
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We multiplied length times width times height.
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And after we did that, we found 2500 meters cubed to be the volume.