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 textbook has the dimensions of 8.5 in wide by 11 in long by 1.5 in tall, how many books could you fit on your bookshelf with
no shelving?
O 73 books
140 books
10368 books

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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