Asif makes a cuboid of plasticine of sides 75cm, 35cm and 21cm. How many such cuboids will he need to form a cube?

Answers

Answer 1

Answer:

The number of cuboids that will be needed to form a cube is 2625 cuboids

Step-by-step explanation:

To form a cube, we have;

The length = The height = The depth

The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.

Therefore;

The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;

75 = 5 × 5 × 3

35 = 5 × 7

21 = 3 × 7

Therefore, multiplying 75 by 7, we get;

75 × 7 = 525

Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;

525/35 = 15

525/21 = 25

Therefore, the cube will be;

The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front

The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides

The height of the cuboid will be 25 cuboids with the side 21 cm high

The total number of cuboids is therefore;

7 × 15 × 25 = 2625 cuboids

The number of cuboids that will be needed to form a cube = 2625 cuboids.


Related Questions

If the length of a rectangle is x, and the width is x+3, what is the perimeter of the rectangle?

Answers

Perimeter is 2w+2l. 2l=2x, and 2w=2x+6. Add them, and get 4x+6

A line passes through the points (2,3) and (6,y) with a slope of 2. What is the value of y?

Answers

Answer:

5

Step-by-step explanation:

The slope of a line is always rise over run.

We need to make the rise over run equivalent to 2 to find the value of y.

Looking at the x-coordinates, 2 and 6, we can see there is an increase in 4.

Now we ask: What number, times 2, will equal 4?

That is 2.

So we have to make the increase in the y coordinates 2.

If we have the original point 3, an increase in 2 is 5.

So y is 5.

Hope this helped!

Answer:

11 = y

Step-by-step explanation:

Using the slope formula

m = (y2-y1)/(x2-x1)

2 = (y-3)/(6-2)

2 = (y-3)/4

Multiply each side by 4

2*4 = y-3

8 = y-3

Add 3  to each side

8+3 = y-3+3

11 = y

Which is a disadvantage of using credit?
OA.
You make fewer purchases.
B.
You can build your credit history.
O c.
You pay more because of fees.
R

Answers

Answer:

B, You can build your credit history

Step-by-step explanation:

I Need Help Plz thank you

Answers

Answer:

d

Step-by-step explanation:

Sonia: 19.6 (3/5 = 0.6)

Cesar: 19.7

Stacy: 19.75

Roberto: 19.5 (1/2 = 0.5)

A ship travels a distance of 200 nautical miles in 10 1/2 hours. how many knots did the ship average each hour? (One knot equals 1 nautical mile per hour) Provide explination please

Answers

Answer:

19.05 knots average per hour

Step-by-step explanation:

Distance traveled = 200 nautical miles

Time taken = [tex]10\frac{1}{2}[/tex]  hours = [tex]\frac{10\times2+1}2=\frac{21}{2}[/tex] hours

To find:

How many knots did the ship average each hour ?

Solution:

Here, we are given the distance traveled and total time taken to travel the distance.

As per question statement, we have to find the average speed of the ship.

Formula for average speed is given as:

[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

Putting the values in the formula:

[tex]\Rightarrow \text{Average Speed = }\dfrac{200}{\frac{21}{2}}\\\Rightarrow \text{Average Speed = }\dfrac{200\times 2}{21}\\\Rightarrow \text{Average Speed = }\dfrac{400}{21}\\\Rightarrow \text{\bold{Average Speed = 19.05 nautical miles per hour}}[/tex]

It is also given that 1 nautical mile per hours is equal to one know.

Therefore, the average speed can be written as:

19.05 knots average per hour

What is the solution to this system of equations?
x + 3y - z = 6
4x - 2y + 2z= -10
6x + z= -12

(an explanation would be great because i barely understand how to do this)

Answers

Answer:

[tex]x=-3, y=5, z=6[/tex]

Step-by-step explanation:

1. Divide by 2 both sides in the second equation:

[tex]4x - 2y + 2z= -10[/tex] [tex]2x - y + z= -5[/tex]

2. From the third equation find z in terms of x:

[tex]6x + z= -12[/tex] [tex]z= -6x-12[/tex]

3. Add up the first and new second equations and find y in terms of x:

[tex](x+2x)+(3y-y)+(-z+z)=6+(-5)[/tex] [tex]3x+2y=1[/tex] [tex]2y=1-3x[/tex] [tex]y=0.5-1.5x[/tex]

4. Put new alternatives instead of y and z in the first equation:

[tex]x+3(0.5-1.5x)-(-6x-12)=6[/tex] [tex]x+1.5-4.5x+6x+12=6[/tex] [tex]2.5x=-7.5[/tex] [tex]x=-3[/tex]

5. Now we can easily find other two unknowns by using their equations by means of x:

[tex]y=0.5-1.5\times(-3)[/tex] [tex]y=0.5+4.5[/tex] [tex]y=5[/tex][tex]z=-6\times(-3)-12[/tex] [tex]z=18-12[/tex] [tex]z=6[/tex]

Answer:

Step-by-step explanation:

2x + 6y - 2z = 12

12x - 6y + 6z = -30

14x + 4z = -18

6x + z = -12

14x + 4z = -18

-24x - 4z = 48

-10x = 30

x = -3

6(-3) + z = -12

-18 + z = -12

z = 6

-3 + 3y - 6 = 6

-9 + 3y = 6

3y = 15

y = 5

x = -3, y = 5, z = 6

5x + 13-14 or-4x + 6< 10

Answers

Answer:

5x - 1 or x>−1

Step-by-step explanation:

Just combine like terms: 13,-14

Combine like terms: 6,10

Divide by -4:-4x/-4<4/-4

What is the slope? Loooook atttt the chartttt ✨

Answers

Answer:

m = 3/5

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find 2 coordinates

(0, 80)

(-50, 50)

Step 2: Find slope m

m = (50 - 80)/(-50 - 0)

m = -30/-50

m = 3/5

Answer:

chart.

Step-by-step explanation:

ah yes chart.


Help I will give Brainlyist

Answers

Answer:

its A - 3 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

23/4 / 3/2

23/4 x 2/3

3 5/6

[ÑL;
´lkCuáles son las cosas que pueden medir en fracciones y cuáles en decimales

Answers

Answer:

Las cosas que se pueden contar (i.e. Contar y clasificar frutas) así como cosas que se pueden dividir se pueden medir en fracciones (i.e. Cortar un pastel), mientras que las cosas que no se pueden contar, de naturaleza no discreta, así como cosas que no se pueden dividir (i.e. Líquidos, material granulado) se pueden medir en decimales.

Step-by-step explanation:

Las cosas que se pueden contar (i.e. Contar y clasificar frutas) así como cosas que se pueden dividir se pueden medir en fracciones (i.e. Cortar un pastel), mientras que las cosas que no se pueden contar, de naturaleza no discreta, así como cosas que no se pueden dividir (i.e. Líquidos, material granulado) se pueden medir en decimales.


Calculate the rate per cent p.a. at which
a N245 will earn N117.60 in 8 years​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 \: \% \: }}}}}[/tex]

Step-by-step explanation:

Given

Principal ( P ) = N 245

Interest ( I ) = N 117.60

Time ( T ) = 8 years

Rate = ?

Finding the rate percent :

[tex] \boxed{ \sf{rate = \frac{interest \: \times 100}{principal \times time} }}[/tex]

plug the values

⇒[tex] \sf{ \frac{117.60 \times 100}{245 \times 8} }[/tex]

Calculate

⇒[tex] \sf{ \frac{11760}{1960} }[/tex]

⇒[tex] \sf{6 \: \%}[/tex]

Hope I helped!

Best regards!!

if some one bakes 150 cookies and eats 10% how many did she eat

Answers

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{15 \: cookies}}}}[/tex]

Step-by-step explanation:

Total cookies = 150

percentage of cookies that she ate = 10 %

To find : Number of cookies that she ate

[tex] \sf{10\% \: of \: 150}[/tex]

To convert percent into fraction, divide it by 100 and remove the % symbol.

⇒[tex] \sf{ \frac{10}{100} \times 150}[/tex]

⇒[tex] \sf{15 \: cookies}[/tex]

Thus, She ate 15 cookies.

Hope I helped!

Best regards!!

What's 5(m−2)−10=6+2(1−m)

Answers

 Answer:  m=4

Step-by-step explanation:

5(m-2) - 10 = 6 + 2(1 - m)  Apply the distributive property on both sides

5m -10 -10 = 6 + 2-2m         Now combine like terms on both sides

5m -20 = 8- 2m     Now add 2m to both sides

+2m              +2m

7m  - 20= 8    Add 20 to both sides

        +20  +20

7m = 28      Divide both sides by  7

m = 4  

When a problem involves more than one unit for a characteristic (such as length), now can you tell which unit is more appropriate to report the answer in?

Answers

Answer:

For larger measurements, we use larger unit while for smaller measurement we use smaller unit.

Step-by-step explanation:

Normally, For larger distances we make use of larger units while for smaller distances we make use of smaller units.

For example, if we consider the distance travelled by a person in some days;

For 15000 units distance; We can represent this value as 15 Kilometers

For 800 units distance; Rather than using kilometers, it would be better to represent it in meters as 8 meters.

Also, For 70 units distance; Instead of kilometers or meters, 70 cm would be a better unit of representation.

Likewise, If we consider some 3 dimensional shapes holding some substances,

For 7000 units, best unit of weight representation would be 7 Kg

For 600 units, instead of in kg, best unit of weight representation would be 600 grams

For 50 units, best unit of weight representation would be 50 grams

So, looking at the examples given in both weight and distances, we will conclude that for larger measurements, we use larger unit while for smaller measurement we use smaller unit.

Jan’s age is 3 years less than twice Tritt’s age. The sum of their ages is 30. Write an equation that could be used to find the age of the students.

Answers

Answer:

x=2y-3

Step-by-step explanation:

x=Jan's age

y=Tritt's age

PLEASE ANSWER ASAP!!! Solve for X. 15=7x+3-5x X=_(simplify your answer)

Answers

Answer:

X=6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

15=7x+3−5x

15=7x+3+−5x

15=(7x+−5x)+(3)(Combine Like Terms)

15=2x+3

15=2x+3

Step 2: Flip the equation.

2x+3=15

Step 3: Subtract 3 from both sides.

2x+3−3=15−3

2x=12

Step 4: Divide both sides by 2.

2x2=122

x=6

Answer:

x=6

pretty sure i know the answer. will reward brainliest just because.

Answers

500 because 80% of 500 is 100

5-9(8 - 2x) < 2x - 115 solve for x​

Answers

Answer:

x < -3

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

5 - 9(8 - 2x) < 2x - 115

Step 2: Distribute parenthesis

5 - 72 + 18x < 2x - 115

Step 3: Combine like terms

-67 + 18x < 2x - 115

Step 4: Add 67 on both sides

18x < 2x - 48

Step 5: Subtract 2x on both sides

16x < -48

Step 6: Divide both sides by 16

x < -3

And we have our answer!

Answer:

x<-3

Step-by-step explanation:

5−9(8−2x)<2x−115

Use the distributive property to multiply −9 by 8−2x.

5−72+18x<2x−115

Subtract 72 from 5 to get −67.

−67+18x<2x−115

Subtract 2x from both sides.

−67+18x−2x<−115

Combine 18x and −2x to get 16x.

−67+16x<−115

Add 67 to both sides.

16x<−115+67

Add −115 and 67 to get −48.

16x<−48

Divide both sides by 16. Since 16 is >0, the inequality direction remains the same.

x<-48/16

Divide −48 by 16

x<−3

A truck driver is running
out of gas. His dial says that he can travel exactly 50 miles. He can deliver his shipment to one of two places, Max's Auto
Goods, or Jimmy's Car Supply which are about 50 miles apart from each other. Using the image below determine which store he can make it to with
the amount of gas he has left in his truck?
Truck Driver
500
Max's Auto
Goods
50 miles
610
Jimmy's Car
Supply

Answers

he would go to max’s auto

The HCF of two numbers is 8. One of the numbers is between 20 and 30. The other number is
between 40 and 60. What are the two numbers?​

Answers

Answer: the numbers are 24 and 56

Simplify the following expression by combining liker terms: 4x +9 -6x +6
10X-15
10x+15
-2x+15
2x+15
Explain your thinking.

Answers

Answer:

its very simple you just need to collect like terms...

which is 4x-6x+6+9 which is

-2x+15.

This is my answer I hope it helps you.

Answer:

i think its -2x+15

Step-by-step explanation:

you do 4x-6x (-6 cuz it has a neg. in front) which gives you -2x then 9+6 and it gives you 15

How can you write 0.07 in the form a and b

Answers

Answer:

7/100

Step-by-step explanation:

We want to write .07 as a fraction

7/100  were a = 7 and b = 100

Answer:

seven hundredths

Question 4 Find the value of a and YZ if Y is between X and Z.

XY = 3a - 4, YZ = 6a + 2, XZ = Sa + 22

a=?
YZ=?​

Answers

Answer:

a = 6YZ = 38

Step-by-step explanation:

The segment addition theorem tells you ...

  XY +YZ = XZ

  (3a -4) +(6a +2) = (5a +22)

  4a = 24 . . . . . . . . add 2-5a and simplify

  a = 6 . . . . . . . . . . divide by 4

Then the length of YZ is ...

  YZ = 6a+2 = 6(6) +2

  YZ = 38

x/11 = 13/11 please help

Answers

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

So we have:

[tex]\frac{x}{11}=\frac{13}{11}[/tex]

To solve for x, multiply both sides by 11.

[tex](11)\frac{x}{11}=(11)\frac{13}{11}[/tex]

Both the left and the right cancel. Thus:

[tex]x=13[/tex]

Our answer is 13 :)

Answer:

Hey there!

x=13

The denominator is the same for both sides, so to make the equation equal, x has to be 13.

Hope this helps :)

When driving in England, a U.S. tourist puts gasoline in his car and pays 1.35 European pounds per liter (pounds per liter). The price of gasoline in his U.S. hometown is $3.39 per gallon. Suppose the exchange rate is 0.705 pounds for $1.50. Is gasoline more expensive in England or in the U.S.?

Answers

Answer:  England

Step-by-step explanation:

England: 1.35 euro/liter

[tex]\text{U.S:}\quad \dfrac{\$3.39}{gallon}\times \dfrac{0.705\ euro}{\$1.50}\times \dfrac{1\ gallon}{3.785\ liter}=\dfrac{0.42\ euro}{liter}[/tex]

     1.35 > 0.42

England > US

Elizabeth wrote 3.3 - 0.21= 1.2 Is her answer​ reasonable? Explain why or why not. Choose the correct answer below and fill in the answer box to complete your choice. A. The estimate would be 0-0= nothing​, so her answer is reasonable. B. The estimate would be 4-0= nothing​, so her answer is not reasonable. C. The estimate would be 3-0= nothing​, so her answer is not reasonable. D. The estimate would be 3-0= nothing​, so her answer is reasonable.

Answers

Answer:

The estimate would be 3-0= nothing​, so her answer is not reasonable.

Step-by-step explanation:

Given the expression written by Elizabeth as  3.3 - 0.21= 1.2, to check if Elizabeth expression is reasonable or not, we need to check if her answer is close to or equal to the answer of the diiferebce between 3.3 - 0.21.

Converting 3.3 and 0.21 to fraction

3.3 = 33/10

0.21 = 21/100

Taking the difference of both fractions

[tex]= \dfrac{33}{10} -\dfrac{21}{100} \\\\= \dfrac{330-21}{100} \\\\= \dfrac{309}{100} \\\\= 3.09\\[/tex]

Hence 3.3 - 0.21 = 3.09 ≈ 3.0 (to nearest whole number). Comparing Elizabeth answer which is 1.2 to the answer f=gotten, it can be seen that her answer is far from the right answer with a difference of about 1.8 (3.0-1.2). This large difference makes Elizabeth answer unreasonable.

D.

The estimate would be 30

3​, so her answer is not reasonable

You are travelling through a town at 50km/h and a ball rolls onto the road. how far do you travel (in metres) in this time.

Answers

Answer:

50000 m

Step-by-step explanation:

50km/h

It means that 1 hour can travelling 50 km

1km=1000m

50km=50000m

So 1hour can travel 50000m

PLZ ANSWER ASAP NOWWWWW

Answers

Answer:c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Matthew's dad is 5 times as old as him. If the differences of their ages is 28, how old is matthew?

Answers

Answer:

7

Step-by-step explanation:

5x-x=28  The dad is 5 times as old and the difference in their ages is 28years.

4x=28 Simplify and divide.

x=7

The quotient of 3 divided by three-fourths is

Answers

Answer:

Step-by-step explanation:

3 * 4/3 = 4 is the solution

Answer:

4

Step-by-step explanation:

[tex]\frac{3}{1}/\frac{3}{4}\\\frac{3}{1}*\frac{4}{3}[/tex]

cancel out the threes and you get:

[tex]\frac{1}{1}=\frac{4}{1}\\1*4=4[/tex]

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