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atroni [7]
3 years ago
11

This box can be packed with 48 unit cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
7 0
A cube has six faces so 48/6 is the length of one edge.
Volume of a cube is length times breadth times height
so 48/6= 8
A cube has equal length of sides
So 8x8x8= 512cm^3
8090 [49]3 years ago
5 0

Answer:

48m^{3}

Step-by-step explanation:

Total number of unit cubes in box = 48

Length of each unit cube (a)= 1 meter

volume of a cube = (length)^{3}

volume of one cube unit = a^{3}

volume of one cube unit = 1^{3}

volume of one cube unit = 1 m^{3}\

volume of 48 unit cubes = 1*48 = 48m^{3}

∴ volume of box = 1*48 = 48m^{3}

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For this case, we find the equation of the line, for this we look for points where the line passes:

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We found the slope:

m = \frac {y2-y1} {x2-x1} = \frac {-4-0} {- 10 - (- 2)} = \frac {-4} {- 10 + 2} = \frac {- 4} {- 8} = \frac {1} {2}

Thus, the equation of the line is:

y = \frac {1} {2} x + b

We substitute a point to find "b":

0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1

Finally:

y = \frac {1} {2} x + 1

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Option A

4 0
3 years ago
How many square feet of outdoor carpet will we need for this hole?
QveST [7]
The whole ends up being 42 ft².

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If you take away those two, you are left with a trapezoid. 
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7 0
3 years ago
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Evgen [1.6K]

Answer:

x=7

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The length of each of the two longer sides is 19.

Step-by-step explanation:

2x+5 = x+12 and y-4 = x+5

Solve for x first

2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.

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8 0
3 years ago
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