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nevsk [136]
3 years ago
10

A cubical box without a top is 4 cm on each edge.it contains 64 identical 1cm cubes that exactly fill the box. How many of these

small cubes actually touch the box?
Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

52

Step-by-step explanation:

A cubical box without a top is 4 cm on each edge containing 64 identical 1 cm cubes.

We have to find the number of small cubes that actually touch the box.

Now, there are 4 layers of 16 cubes from bottom to top.

In the bottom-most layer, all the 16 small cubes will touch the bottom of the large cube.

Again, from the top three layers, only the outer small cubes will touch the sides of the large cube.

So, there are 12 small cubes in each top three layers that will touch the large cube.

Hence, in total there will be (16 + 12 ×3) = 52 small cubes that actually touch the large cube box. (Answer)

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My town has two cell phone providers. The provider Don’tTalkMuch charge is $80 per month plus 1 dollar per hour the provider Tal
djyliett [7]

Answer:

The author have to use his/her phone less than 20 hours in a month in order for Don’tTalkMuch's is a deal to be better than TalkLots's is.

Step-by-step explanation:

Call X is the number of hours that the author uses on monthly basis.

Total bill value if the author uses Don’tTalkMuch service is $80 + $1 X.

Total bill value if the author uses TalkLots service is $20 + $4X

The total fees between 2 providers equal as:

$80 + $1 X = $20 + $4X => 3X = $60 => X = 20

Hence: The author have to use his/her phone less than 20 hours in a month in order for Don’tTalkMuch's is a deal to be better than TalkLots's is.

8 0
3 years ago
last year 950 people attended a towns annual parade. this year 1520 people attended. what was the percent increase in attendance
pogonyaev
1520-950/950 x 100

570/950 x 100 = 60%
60%

5 0
3 years ago
Read 2 more answers
The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use and round to the nearest whole cubic uni
erica [24]

Answer:

The approximate volume of the sphere= 4187  cubic units

Step-by-step explanation:

<u>Points to remember</u>

Volume of sphere = (4/3)πr³

Where 'r' radius of sphere

<u>To find the volume of sphere</u>

It is given that the radius of the sphere is 10 units. ,

Here radius r = 10 units

Volume =  (4/3)πr³

 =  (4/3) * 3.14 * 10³

 =  (4/3) * 3140

 =  4186.666 ≈  4187  cubic units

4 0
4 years ago
Read 2 more answers
Explain the diffrences between +8,-8,{8}.
lesantik [10]
+8 means that it is a positive number
-8 means that it is a negative number
I think what you mean by: {8}, is |8| which is absolute value which means no matter the answer it is the absolute value from 0 so it’s always +
4 0
4 years ago
Read 2 more answers
M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)
Deffense [45]

Answer:

Part 1) MD=9\ units

Part 2) DC=12\ units

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

so

In this problem

MD=ME=MF ------> is the radius of a circle inscribed inside the triangle

we have that

MF=9\ units

therefore

ME=9\ units

MD=9\ units

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

MC^{2} =MD^{2}+DC^{2}

we have

MD=9\ units

MC=15\ units

substitute

15^{2} =9^{2}+DC^{2}

DC^{2}=225-81

DC=\sqrt{144}\ units

DC=12\ units

6 0
4 years ago
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