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Lerok [7]
3 years ago
13

A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes d

oes it take to fill the prism
Mathematics
2 answers:
alekssr [168]3 years ago
4 0

Answer:

<em>128</em>

Step-by-step explanation:

<em>Method A.</em>

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

<em>Method B.</em>

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

andreyandreev [35.5K]3 years ago
4 0

Answer:

128 cubes.

Step-by-step explanation:

Volume of each cube = (1/4)^3 = 1/64  cubic units.

Number of cubes that will fill the prism

= 2 /  1/64

= 2*42

= 128   answer


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DiKsa [7]
The correct answer is:  [C]:  " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

          →  "  y = (x <span>− 8) (x + 3) "  ;   </span>←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".
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→  Note:  The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" . 

   → So;  we set plug in "0" for "x" into our equation; and solve for "y" ; 

          → " y = (x − 8) (x + 3) " ;

          →   y = (0 − 8) (0 + 3)  ; 

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So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
 
the point at which:  "x = 0 ; y = -24 " ;

      →  that is; the point  the coordinates:  " (0, - 24) " ;
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  →  which is:  Answer choice:  [C]:  " (0, - 24) " .
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9 0
3 years ago
Read 2 more answers
5/10 × 3 explain how you got the answer then when finish do 4/10 × 4 and explain.
barxatty [35]

Hello from MrBillDoesMath!

Answer:

1.5,   1.6


Discussion:

The question is how to interpret 5/10 * 3.   Both multiplication and division have the same precedence but we proceed from left to right (doing the divison first)

5/10 * 3 = (5/10) * 3 = (1/2)* 3 = 3/2 = 1.5                  

Same approach for the second equation:

4/10 * 4 = (4/10) * 4 = 16/10 = 8/5 = 1.6


Thank you,

MrB

6 0
3 years ago
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Step-by-step explanation + Answer:

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