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algol13
3 years ago
15

A right rectangular prism has edges of 2 1/4 in, 1 1/2 in and 1 1/2 in. How many cubes with lengths of 1/4 in would be needed to

fill the prism? What is the volume?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

The volume of a rectangular prism is (length) x (width) x (height).

The volume of the big one is  (2.25) x (1.5) x (1.5) = <em>5.0625 cubic inches</em>.

The volume of the little one is  (0.25)x(0.25)x(0.25)= 0.015625 cubic inch

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

       5.0625 / 0.015625  =  <em>324 tiny cubies</em>

=================================================

Doing it with fractions instead of decimals:

The volume of a rectangular prism is (length) x (width) x (height).
Dimensions of the big one are:

   2-1/4  =  9/4
   1-1/2  =  3/2
   1-1/2  =  3/2

   Volume = (9/4) x (3/2) x (3/2) =
 
                 (9 x 3 x 3) / (4 x 2 x 2)  =

                           81 / 16  cubic inches.

          As a mixed number:    81/16  =  <em>5-1/16 cubic inches</em>

Volume of the tiny cubie = (1/4) x (1/4) x (1/4) =  1/64 cubic inch.   

The number of little ones needed to fill the big one is

             (Volume of the big one)  divided by (volume of the little one) .

                 (81/16) divided by (1/64)  = 

                     (81/16) times (64/1)  = 

                             5,184/16  =  <em>324 tiny cubies</em>.


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Step-by-step explanation:

A straight angle should always equal 180, and that is really the key to how we answer this problem. That means that ∠1 and ∠2 are supplementary, and add up to 180°.

That means that 180-28, will give us our other angle.

6 0
3 years ago
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Answer:

The equation of line is:

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We know that the equation of line passing through two points:

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Hence, the equation of line is:

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BC=16/0.80 =19.78

8 0
2 years ago
WORTH 80 POINTS HELP
vekshin1
Hi!

1. Your answer should be the first option. (It looks the best to me)

2. it is the last option because it's the only one that's identical to the original picture.

3. It should be the third option since there are 10cm on the top of the shape.

4. a total of 39

Hope that helps, good luck! :)
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