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IRISSAK [1]
3 years ago
5

there are 27 small cubes arranged in a 3 by 3 by 3 cube. The top and sides of the cube are painted red. How many of the 27 small

cubes have 0 faces painted? 1 face? 2 faces? 3 faces? 4 faces? 5 faces? 6 faces?
Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

1 Face has 0 face painted

Step-by-step explanation:

As per the question a  painted cube that is cut into 27 equal-size smaller cubes has been cut into a 3 * 3 * 3 arrangement.

 

There is 1 cube in the very center

 On each of the 6 sides of the cube, there is a central smaller cube that is painted once.

 

Of the 27 (3*3*3) smaller cubes formed by the cutting, 1 gets no paint, 6 are painted on 1 face, 12 are painted on 2 faces, and 8 are painted on 3 faces (total 27 cubes).

1 (no paint) + 6 (painted 1) + 12 (painted 2) + 8 (painted 3) = 27 total

The sum of the painted faces (of the small cubes) is 54 (which is 6*9).

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Answer:

180x^5.5

Step-by-step explanation:

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2 years ago
Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.​
Llana [10]

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

{hypo.}^{2}  =  {12}^{2}  +  {9}^{2}

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radius = diameter \div 2

radius = 15 \div 2

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6 0
3 years ago
A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the di
vovikov84 [41]

Answer:

  8 by 12 units

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4

The perimeter is given by the formula ...

  P = 2(length + width)

Filling in the given values for the variables, we have ...

  4.5w +4 = 2(w +1.5w)

  4 = 0.5w . . . . . . subtract 4.5w and collect terms

  8 = w . . . . . . . . . multiply by 2

  length = 1.5×8 = 12

The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.

4 0
2 years ago
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5 0
3 years ago
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