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Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bin is 4 feet wide, 4 feet tall, and 4 feet deep. Based on volume only, about how many books will fit in the bin?

Sagot :

Martinmutambo19992idn

Step-by-step explanation:

first you find the volume of a bin.

that is multiplication of 3 dimensions given.

4*4*4=64 cubic feet...

now volume of books..

0.75*0.75.0.25=0.14 cubic feet

now the number of books that will fit the bin=volume of bin/volume of books

64/0.14=455

455 books

Facundo3141592idn

We want to see how many books can fit in a bin, given that we know the dimensions of the books and the bin. We will see that 457 books can enter in the bin.

Remember that the volume of a rectangular prism of length L, width W, and height H is just given by:

V = L*W*H

Here we know that each book is:

0.75ft by 0.75ft by 0.25ft

Then the volume of a single book is:

V = 0.75ft*0.75ft*0.25ft = 0.14 ft^3)

While the bin is 4ft by 4ft by 4ft, thus its volume is:

V ' = 4ft*4ft*4ft = 64ft^3

The number of books that fit in the bin is given by the quotient between the bin's volume and the book's volume:

N = (64ft^3)/(0.14 ft^3) = 457 books.

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

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