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grandymaker [24]
3 years ago
12

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

Mathematics
2 answers:
lys-0071 [83]3 years ago
6 0

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}

Substituting into the equation, we have;

Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}

Number \; of \; cubes = \frac {315}{32} * 64

Number \; of \; cubes = 315 * 2

Number of cubes = 630

Natasha2012 [34]3 years ago
5 0

gggggggggggggggggggggggggggg

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Step-by-step explanation:

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2 years ago
For each part below, give an example of a linear system of
N76 [4]

Answer:

a)g: 3x + 4y = 10   b) a:x+y = 5           c) c: 3x + 4y = 10

h: 6x + 8y = 5         b:2x + 3y = 8         d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations  gives  you  parallel lines refer attachment

b) has exactly one solution

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b:2x + 3y = 8

Above Equations  gives  you  intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations  gives  you  collinear lines refer attachment

i) if we add   x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add   x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add  x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5  to change the unique solution you had  to a different unique solution

7 0
3 years ago
Two 2 1/2 inch plastic strips and two 5 1/3 inch plastic strips are used to form a rectangle. What is the perimeter of the recta
svp [43]
In this question the given information's should be closely noted. The length and width of the perimeter are already given. Based on those information's the answer to the question can be easily deduced.
Length of the rectangle = 2 1/2 inch
                                       = 5/2 inch
Width of the rectangle = 5 1/3 inch
                                         = 16/3 inch
Then
Perimeter of a rectangle = 2 ( Length + Width)
                                        = 2 [(5/2) + (16/3)]
                                         = 2 [ (45 + 32)/6]
                                         = 2 * (77/6)
                                         = 77/3 inch
                                         = 25 2/3 inch
So the perimeter of the rectangle in question is 25 2/3 inch. I hope the procedure is clear to you.
5 0
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Step-by-step explanation:

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then plug in values:

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ans: 10x^2-8x+16

hope this helps

4 0
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