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Zina [86]
3 years ago
10

Chloe has 20 unit cubes.How many different rectangular prisms can she build with the cubes?

Mathematics
2 answers:
likoan [24]3 years ago
8 0
If she uses all the cubes, its is 12. 
1.  One that is 20x1x1 cubes (20 is length, 1 is width, and 1 is height)
2. One that is 1x20x1 cubes
3. One that is 1x1x20 cubes
4. One that is 4x5x1 cubes
5. One that is 5x1x4 cubes
6. One that is 1x4x5 cubes
7. One that is 10x1x2 cubes
8. One that is 1x2x10 cubes
9. <span>One that is 2x10x1 cubes
10. </span>One that is 2x2x5 cubes<span>
11. </span>One that is 5x2x2 cubes<span>
12. </span>One that is 2x5x2 <span>cubes</span><span>

</span>
Musya8 [376]3 years ago
4 0

Chloe has 20 unit cubes

No. of different rectangular prisms can she build with the cubes = ?

The number of combinations that are possible are as follows:

20 * 1 * 1

1 * 1 *20

1 * 20 * 1

4 * 5 * 1

5 * 4 *1

1 * 5 *4

1* 4 * 5

1 * 10 * 20

20 * 10 * 1

20 * 1 *10

5 * 2 * 2

2 * 5 * 2

These are the 12 possible ways  

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The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
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Given parameters:

Midpoint of AB =  M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

              x_{m}   = \frac{x_{1} + x_{2}  }{2}    and y_{m}  = \frac{y_{1} + y_{2}  }{2}

where x_{m}  and y_{m} = coordinates of the mid points = 3 and -1

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  x₂ = ?  and y₂ = ?

Now let us input the variables and solve,

            3  = \frac{5 + x_{2} }{2}           and     -1 = \frac{1 + y_{2} }{2}

    5 +  x₂  = 6                          -2 = 1  + y₂

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Point E is the midpoint of AB and point F is the midpoint of CD .
Gwar [14]

Answer:

# AB is bisected by CD

# AE = 1/2 AB

# CE + EF = FD

Step-by-step explanation:

* Lets talk about the mid point

- The mid-point of a segment is divided the segment into two

  equal parts

- The figure has line segment AB

- E is the mid-point of AB

∴ E divides the line segment AB into two equal parts

∴ AE = EB

∴ AE = 1/2 AB ⇒ (1)

- Any line passes through the point E will bisects the line segment AB

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* There are three statements must be true (1) , (2) , (3)

# AB is bisected by CD

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