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Answer :
It take 8.205 minutes to fill a queen sized mattress.
What is volume?
'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given dimensions:
Twin sized air mattress (39 by 8.75 by 75 inches).
Queen sized mattress (60 by 8.75 by 80 inches)
Now, Volume of twin sized mattress
=39* 8.75* 75
= 25593.35 cubic inch
Volume of queen sized mattress,
=60* 8.75* 80
= 42000 cubic inch
as, To fill 25593.35 cubic inch it takes 5 minutes
so, to fill 1 cubic inch = 5/25593.35
and, So to fill 42000 cubic inch it will take = 42000* 5/25593.35
=8.205 minutes
Learn more about this concept here:
https://brainly.com/question/10980137
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Final answer:
To find out how long it will take to fill a queen-sized mattress using the same air pump as the twin-sized mattress, set up a proportion comparing the volumes. After solving the proportion, it will take approximately 7.22 minutes to fill a queen-sized mattress.
Explanation:
To find out how long it will take to fill a queen-sized mattress using the same air pump, we can set up a proportion. Let's call the time it takes to fill the queen-sized mattress 'x' minutes. The ratio of the dimensions of the twin-sized mattress to the queen-sized mattress is:
(39 x 8.75 x 75) : (60 x 8.75 x 80)
To set up the proportion, we can compare the volume of the two mattresses. The volume of the twin-sized mattress is (39 x 8.75 x 75) cubic inches, and the volume of the queen-sized mattress is (60 x 8.75 x 80) cubic inches. So, the proportion becomes:
5 : x = (39 x 8.75 x 75) : (60 x 8.75 x 80)
Cross-multiplying and solving for 'x', we get:
5x = (39 x 8.75 x 75 x 5) / (60 x 8.75 x 80)
Dividing both sides by 5, we find that:
x = (39 x 8.75 x 75) / (60 x 8.75 x 80)
After simplifying the expression, we find that 'x' is approximately 7.22 minutes. So, it will take about 7.22 minutes to fill a queen-sized mattress using the same air pump.
Learn more about Time to fill a queen-sized mattress here:
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