A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.​

Answers

Answer 1

Answer:

[tex]\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}[/tex]

Step-by-step explanation:

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

[tex]\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}[/tex]

[tex]\bf \implies n_{cubes} = \dfrac{20cm \times 6cm \times 4cm .}{2cm \times 2cm \times 2cm } \\\\\bf\implies n_{cubes} = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }[/tex]

Hence the number of cubes that can be fitted in the box is 60 .


Related Questions

There are 3 consecutive odd integers that have a sum of 9.

Answers

Answer:

1+3+5

Step-by-step explanation:

I think

write without exponents

Answers

Answer:

(2y * 2y) * (2y * 2y) * (2y * 2y)

Step-by-step explanation:

I NEED HELP RIGHT NOW

Answers

Answer:

Bro it is not so clear ........

On what interval(s) of x does f have positive concavity?


On what interval(s) of x does f have negative concavity?

Answers

9514 1404 393

Answer:

positive concavity: nonenegative concavity: (-∞, ∞)

Step-by-step explanation:

A parabola that opens downward has a second derivative that is negative everywhere. The interval of negative concavity is 'all real numbers', (-∞, ∞). There is no interval of positive concavity.


What is the reciprocal of
of 1/5?

Answers

The reciprocal of 1/5 is 5.

Reciprocals are numbers than when multiplied equal a product of 1.  In this question, 1/5 * 5 = 1.  An easy trick for finding reciprocals is flipping a fraction.

Hope this helps!!

It would be 5 or 5/1 because you just switch it

Drag the numbers to the correct locations on the image. Not all numbers will be used.
Complete the synthetic division to find the quotient of and .

Answers

Answer:

First Column: 8

Third Column: 24

Fourth Column: 4

Fifth Column (from top to bottom): 32; 0

This means that:

[tex](3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4[/tex]

Step-by-step explanation:

We can perform synthetic division when we divide a polynomial P(x) by a binomial in the form of (x - a).

When doing so, the number that goes to the very left of our structure will be the constant a.

We fill the first row with the coefficients of each term.

We are dividing [tex]3x^3-25x^2+12x-32[/tex] by [tex]x-8[/tex].

So, a = 8.

Therefore, for the first column, the number there is 8.

The second column has been filled out.

For the third column, we multiply the previous number by our a.

The previous number is 3. 3(8) is 24.

So, the number in the third column is 24.

(And we add 24 to -25 to acquire -1).

So, for the fourth column, we will add the two numbers to acquire (12 - 8) = 4.

Hence, the number for the fourth column is 4.

For the fifth column, the top box, it will again be the previous number multiplied by our a.

The previous number is 4. 4(8) is 32.

So, the number in the top box of the fifth column is 32.

And when added to -32, it equates to 0. Hence, the second box of the fifth column is 0.

This means that:

[tex](3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4[/tex]

Answer:

[tex] \frac{(3 {x}^{3} - 25 {x}^{2} + 12x - 32)}{(x - 8)} = (3 {x}^{2} - x + 4)\\[/tex]

If the radius of a circle is 9 cm, what is the area of the circle?

Answers

Answer: 254.34 cm²

Step-by-step explanation:

Area of a circle: πr²

(3.14)9² = 3.14 × 81 = 254.34

Area of the circle ≈ 254.34 cm²

A line passes through the point (-4 , -8) and has a slope of -3/2.
Write an equation in slope - intercept form for this line.

Answers

Answer:

[tex]y = \frac{-3}{2}x - 14[/tex]

Step-by-step explanation:

(-4 , -8)  ;  slope = (-3/2)

Equation of the line: y - y₁ = m( x- x₁)

[tex]y - [-8] = \frac{-3}{2}(x - [-4])\\\\y + 8 = \frac{-3}{2}(x +4)\\\\y + 8 = \frac{-3}{2}x +(\frac{-3}{2})*4\\\\y + 8 = \frac{-3}{2}x - 3 * 2\\\\ y = \frac{-3}{2}x -6 -8\\\\y = \frac{-3}{2}x - 14[/tex]

PLS HELP DUE SOON!!! FOR 16 points!!!!

Answers

Answer:

D.

Step-by-step explanation:

To  find the mean you add all the numbers together then divide by the total of number so 5

any hellllllllp please

Answers

The answer would be D how are the trails used

What is the area of the original rectangle?​

Answers

Answer:

25cm2

Step-by-step explanation:

Answer:

Whats the answer?

Step-by-step explanation:

Complete each congruence statement by naming the corresponding angle or side (odd questions only)

Answers

Given:

11. [tex]\Delta DCB\cong \Delta CDM[/tex]

13. [tex]\Delta CBA\cong \Delta STA[/tex]

To find:

The missing values to complete the congruence statements:

11. [tex]\overline{BD}\cong \_\_\_\_\_[/tex]

13. [tex]\angle BAC\cong \_\_\_\_\_[/tex]

Solution:

11.

We have,

[tex]\Delta DCB\cong \Delta CDM[/tex]

Here, vertices D, C, B are corresponding to C, D, M. So,

[tex]\overline{BD}\cong \overline{MC}[/tex]

Therefore, the complete statement is [tex]\overline{BD}\cong \overline{MC}[/tex].

13.

We have,

[tex]\Delta CBA\cong \Delta STA[/tex]

Here, vertices C, B, A are corresponding to S, T, A. So,

[tex]\angle BAC\cong \angle TAS[/tex]

Therefore, the complete statement is [tex]\angle BAC\cong \angle TAS[/tex].

Which expressions are equivalent to
In x + 2 In 5 + In 1?

Answers

Answer:

ln(25x)

Step-by-step explanation:

ln(x) + 2ln(5)+ln(1) = ln(x) + ln(5^2) + ln(1)

= ln(x*5^2*1) = ln(25x)

fy=x-4
Solve: 0
W = 6x – 10

Answers

So x=6/5 and y=-2.8

place the values of x on the equation and you will find y as -2.8

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. On the scale model, the distance between the wheels on the left and the wheels on the right is 1 1/4 inches. The state of Wyoming has old railroad tracks that are 4.5 feet apart. Can the modern train travel on these tracks?

Answers

No, modern train cannot travel on old railroad.

Step-by-step explanation:

In rail transport, track gauge is the spacing of the rails on a railway track and is measured between the inner faces of the load-bearing rails.

Most of the modern train are based on broad gauge. The separation in broad gauge is about 5 ft and 6 inches and in the standard gauge the separation between the tracks is 4 ft and  inches. So for the modern train it is not possible to travel on the tracks whose separation is no more than 4.5 feet.

What is the value of y?

Answers

Answer:

y = 3√14 unit

... . . . ... . .

I hope it helps you

:-))

The amount of revenue in dollars, y, that Makayla receives from selling x posters is given by the equation y = 3x. The cost of producing x posters is given by the equation y = LaTeX: \frac{1}{3}x\:+\:2001 3 x + 200. How many posters does Makayla need to sell so that the cost and revenue are equal?
Group of answer choices

Answers

Answer:

75 posters

Step-by-step explanation:

Given

[tex]y = 3x[/tex] ----  Revenue

[tex]y = \frac{x}{3} + 200[/tex] --Cost of production

Required

Determine the number of posters that when cost equals revenue

To do this, we simply equate both equations

i.e. [tex]3x = \frac{x}{3} + 200[/tex]

Collect like terms.

[tex]3x - \frac{x}{3} = 200[/tex]

Multiply through by 3

[tex]3(3x - \frac{x}{3}) = 200*3[/tex]

[tex]9x - x = 600[/tex]

[tex]8x = 600[/tex]

Divide both sides by 8

[tex]\frac{8x}{8} = \frac{600}{8}[/tex]

[tex]x = \frac{600}{8}[/tex]

[tex]x = 75[/tex]

Radioactive Decay:
The half life of a
certain radioactive
substance is 46 days.
There are 12.6 g
present initally.

HELP PLS

Answers

The question is incomplete, here is the complete question:

The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.

When will there be less than 1 g remaining?

Answer: The time required for a radioactive substance to remain less than 1 gram is 168.27 days.

Step-by-step explanation:

All radioactive decay processes follow first order reaction.

To calculate the rate constant by given half life of the reaction, we use the equation:

[tex]k=\frac{0.693}{t_{1/2}}[/tex]

where,

[tex]t_{1/2}[/tex] = half life period of the reaction = 46 days

k = rate constant = ?

Putting values in above equation, we get:

[tex]k=\frac{0.693}{46days}\\\\k=0.01506days^{-1}[/tex]

The formula used to calculate the time period for a first order reaction follows:

[tex]t=\frac{2.303}{k}\log \frac{a}{(a-x)}[/tex]

where,

k = rate constant = [tex]0.01506days^{-1}[/tex]

t = time period = ? days

a = initial concentration of the reactant = 12.6 g

a - x = concentration of reactant left after time 't' = 1 g

Putting values in above equation, we get:

[tex]t=\frac{2.303}{0.01506days^{-1}}\log \frac{12.6g}{1g}\\\\t=168.27days[/tex]

Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.

write the two tenths closest to 0.446 in the place-value chart.​

Answers

Answer:

1,2

Step-by-step explanation:

The place-value chart's two tenths closest to 0.446 is 0.4. We can determine the place value of each digit based on its location in a number using the place value chart, which is a very useful table structure.

What is meant by place value chart?

The place value chart is a very helpful table structure that enables us to determine each digit's place value based on where it is in a number. On the place value chart, a digit's place value increases as we move left and drops as we move right by a factor of ten.

Using a place value chart, we may compare the place values of the digits in a number and determine a digit's exact position. In this graph or figure, the place value of a number's digits increases as we move to the left and drops as we move to the right.

Given

0.446

In ones place is 0

In tens place is 4

In hundredth place is 4

In thousand place is 6

Therefore, The place-value chart's two tenths closest to 0.446 is 0.4.

To learn more about place value chart refer to:

https://brainly.com/question/12386995

#SPJ2

Calculate the value of this expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning. (0.01)⋅(0.02) this is 6th grade math

Answers

Answer:

0.0002

Step-by-step explanation:

Answer:

0.0002

Step-by-step explanation:

Alex purchases a big screen TV, pays 7% state sales tax,
and is charged $65 for delivery. If Alex's total cost is
$1,668.93, what was the purchase price of the TV?

Answers

Answer:

$1489.10

Step-by-step explanation:

1668.93 x 0.07 - 65

Tax = 116.83

1668.93 - 116.83 - 63

Answer = $1489.10

Help ASAP!!!Find the value of x and y

Answers

Answer:

x = 39

y = 39

since the sides are congruent the angles are also equal.

Hi! When u see the dashes on the triangle, it represents parallel lines which basically means the two percentages on the missing angles are equal! So, we know that a triangle in total should equal 180°, meaning you would have to do 180-102to find the missing angles. Then you would have 78° and you would divide that by two to have each individual angel. 78/2 is 39.
X=39°
Y=39°

Which type of graph shows frequencies in categories as sectors of a whole?

Answers

Answer:

a pie graph shows frequences in categories as sectors of a whole.

Explanation:

a pie graph / chart is a circle divided into sectors. Each sector represents a category of data. The area of each sector is proportional to the frequency of the category.

Answer:

A Circle Graph

Step-by-step explanation:

A Circle Graph would be like a pie chart but the correct name is a CIrcle Graph

solve the following equations for g:2(g-h)=b+4

Answers

Answer:

g=b+4+2h/2

explanation:

first expand the brackets

let g be the subject of the equation

Cathy reads 4 pages of a book each morning
and 5 pages of a book each evening.
How many pages will she read in seven days?


Help me!!!!

Answers

64 is the answer. I’m pretty sure .

Answer:

65

Step-by-step explanation:

Do this work If one do I will make brainliest her or him please

Answers

Answer:

If you need the explanation, just ask.

Simplify the following expression

Answers

wait the answer is b

I GIVEEEEEEE BRAINLILSTTT

Answers

Answer:

F= (0,5)

G=(10,5)

H=(0,0)

Answer:

OK READY

78329814634803265r36+++++====== wduyiewqbd73892dbd

Step-by-step explanation:

your welcome

ddddddddddddddddd

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wdqwdqww

[;'

;lp[

o;ijjighgbbnbn bn  n n mnmnmnmnmnmnmn

jhjjjjj

gbfg

hfhgfhfgh

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f

f

h

fff

All the words in the Snowman language consist of exactly seven letters formed from the letters {s, no, wm, an} arranged in some order where the paired letters cannot be separated. For example "snonono" and "sssanwm" are words in the language but "sssmwan" and "sssawmn" are not. How many words are there in the Snowman language?

Answers

Answer:

24

Step-by-step explanation:

Imagine s is 1, no is 2, wm is 3, and an is 4.

If you look at all the possible ways to orginaze the numbers starting with one you get 6;

1234

1243

1324

1342

1432

1423

you then need to multiply this by the amount of numbers that could be in the start; which is four; 1, 2, 3, and 4. So, six ways to orginaze multiplied by 4 numbers is 24.

In Snowman language, total words are 24.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

Total number of letters in Snowman language = 7

The letters are in form of {s, no, wm, an}.

To find the total words in Snowman language,

Consider the following: s = 1, no = 2, wm = 3, and an = 4.

If you consider every possible method to order the numbers beginning with one, you will arrive at the number 6;

1234

1243

1324

1342

1432

1423

You must then multiply this by the total number of possible numbers at the beginning, which is four: 1, 2, 3, and 4. Six possible organizations divided by four digits equals 24.


So, the total words in Snowman language is 24.

To know more about Permutation and Combination on:

https://brainly.com/question/13387529

#SPJ5

|-x-2y| x-12 y=8
a= 4
b= 8
c= -4
d= -8

Answers

Answer:

b

Step-by-step explanation:

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