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Fittoniya [83]
3 years ago
13

The new bookcase for your future dorm room has the dimensions of 24 in wide by 12 in deep by 36 in tall. if one average

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

The correct answer is A. 73 books

Explanation:

The first step to find the answer is to know the total volume/space in the bookcase. This can be calculated by using the formula v (volume) = h (height) x l (length) x w (width) or multiplying the three sides given because this is the formula for a cuboid and most bookcases have this shape.

v (volume) h x l x w

v = 36 in x 24 in x 12 in

v =  10368 in

According to this, the total volume of the shelf is 10368 in. The next step is to calculate the volume of 1 book. This can be found using the same process and formula.

1.5 in x 11 in x 8.5 in = 140.25 in

Finally, to know how many books can fit in the bookshelf divide the total volume of the bookshelf into the volume of one book.

10368 ÷ 140.25 = 73.9

Thus, the total books that can be fit in the bookshelf is 73

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6 * 1020 is roundable to 6*1000 which is 6000

If you round 29000 to 30000 then 29*1016 should be 5 times larger than 6 * 1020

Check it out.
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When you divide the smaller into the larger, you get 4.18 which is in the same ball park as 5. 

Estimating is a skill you need when you are shopping and when you are writing tests. If you need to know if 4.18 is a good answer when a rounded answer is 5, you know you've done the work properly.

Rounding should permit you to get an answer in your head. 


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