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tatuchka [14]
3 years ago
11

If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Given:

Measure of a cube = 1 unit on each side.

Dimensions of a space 2 units by 3 units by 4 units.

To find:

Number of cubes that can be fit into the given space.

Solution:

The volume of cube is:

V_1=a^3

Where, a is the side length of cube.

V_1=(1)^3

V_1=1

So, the volume of the cube is 1 cubic units.

The volume of the cuboid is:

V_2=l\times b\times h

Where, l is length, w is width and h is height.

Putting l=2,b=3,h=4, we get

V_2=2\times 3\times 4

V_2=24

So, the volume of the space is 24 cubic units.

We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

n=\dfrac{V_2}{V_1}

n=\dfrac{24}{1}

n=24

Therefore, 24 cubes can be fit into the given space.

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Combine like terms.

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What is the greatest common factor for 20y^9+5y^6
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-f-3g+7

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7 0
3 years ago
An object consisting of two endpoints and all of the points between them
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that'd be a segment.

⭕-------------------------------------⭕


3 0
3 years ago
Mary walks 4 miles north and then turns and walks 5 miles west. How far is she from her original starting point?
dusya [7]
Answer:  6.403 miles; or, write as:  6.403 mi.  .
__________________________________________________
Explanation:
_________________________________________________





                                5
--------------------------------------------
`                             right angle   |_ |
   `          (right triangle )                 |
         `                                               |    4 
             `                                           |
                      `    
       "c"                        `                  \        
 (hypotenuse)                          Starting point
                     
__________________________________________________
Since we have a "right triangle, we solve for "c"; using the 
"Pythagorean theorem" ; 
_______________________________________________________
→  a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
__________________________________________________
Given : a = 4; b = 5 ; 
____________________________
Plug these known values into our equation:
________________________________________
 → 4² + 5² = c² ; 
____________________________
 → 16 + 25 = c² ;  ↔  c² = 16 + 25 ;
______________________________
 → c² = 41 ; 
_______________________________
 → Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative"; 
__________________________________
 → √(c²) = √(41) ; 
_____________________________
 → c =  √41 ; Use calculator;
________________________________
 → c =  6.40312423743 ; Round to:  

 → c = 6.403 miles; or, 6.403 mi. 
__________________________________________

 

5 0
3 years ago
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