The diagram shows a solid metal cuboid.
The areas of three of the faces are marked on
the diagram.
The lengths, in cm, of the edges of the cuboid
are whole numbers.
The metal cuboid is melted and made into cubes.
Each of the cubes has sides of length 2.5 cm.
Work out the greatest number of these cubes that can be made.
You must show your working.

The Diagram Shows A Solid Metal Cuboid.The Areas Of Three Of The Faces Are Marked Onthe Diagram.The Lengths,

Answers

Answer 1

Answer:

6 cubes

Step-by-step explanation:

Considering the given cuboid, it can be deduced that;

length of the cuboid = 7 cm

width of the cuboid = 3 cm

height of the cuboid = 5 cm

Thus,

volume of the cuboid = length x width x height

                                    = 7 x 3 x 5

                                    = 105 cubic centimetres

The cubes has sides of length 2.5 cm.

volume of each cube = length x width x height

                                    = 2.5 x 2.5 x 2.5

                                    = 15.625 cubic centimetres

The greatest number of cubes that can be made = [tex]\frac{105}{15.625}[/tex]

                                              = 6.72

The greatest number of cubes that can be made from the cuboid is 6.


Related Questions

15.00 + 1.75x > 7.50 + 2.25

Answers

Answer:

Step-by-step explanation:

whats the area of this figure​

Answers

Answer:

208

Step-by-step explanation:

(14x9)+(10x7)+(3x4) = 208

Dose 5x + 9 = 9+5x have no solution one solution or infinitely many solutions?

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

PLEASE HELP I’LL GIVE YOU BRILLIANCE

Andrew has $350. She spends the same amount each week. After 5
weeks, she has $150 remaining. The relationship between the amount of
money Andrew has and the number of week s is represented by a line.
CREATE A TABLE OF VALUES for this scenario up to week 5 and then state
the rate of change of this scenario. *
-$50/week
$40/week
$50/week
-$40/week

Answers

Answer:

-40

Step-by-step explanation:

the equation will be 5x + 350 = 150

5x = -200

x = $-40/week

Answer:

I would say D

Step-by-step explanation:

Good Luck!

(4th grade math)
Please help.

Answers

Answer:

i

Step-by-step explanation:

Answer:

last one under H

Step-by-step explanation:

you want to look at which table says +27 under the value tab since that is what the question is looking for. the table under option H has those requirements so pick that one

Make t the subject of the formula.

Please help.

Answers

Answer:

[tex]t = \frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

[tex]q = \frac{2-4t}{t+3}\\\\[/tex]

Cross multiply,

q(t+3) = 2 - 4t        

Use distributive property: a*(b + c) =(a*b) + (a*c)

qt + 3q = 2- 4t

qt + 4t + 3q = 2

  qt + 4t     = 2 - 3q

    t(q + 4)  = 2 -3q

               [tex]t = \frac{2-3q}{q+4}[/tex]

What is the range of the ordered pairs (1,1), (2,6), (3,5), and (4,1)?

Answers

Answer:

45

Step-by-step explanation:

just cuz

Answer:

45

Step-by-step explanation:

4x - 1 = -13 show the work please

Answers

Answer:

x = -3

Step-by-step explanation:

4x - 1 = -13

add 1 to each side

4x = -12

x = -3

Answer:

x = -3

Step-by-step explanation:

Add 1 to both sides to, this gives you 4x = -12. then divide both sides by 4, which would give you x = -3.

Which one is smaller

Answers

Answer:

Jasmine

Step-by-step explanation:

Michelle: .75

Mike: .66

Rasheed: .83

Jasmine: .57

A triangle has two sides of length 7 and 4. What is the smallest possible whole-number length for the third sid

Answers

Answer:

3......

Step-by-step explanation:

in triangle sum of two sides must be equal to third side......

hope this will help u.....

5m + 26 - 3p when m = 3 and p = 4

Answers

Answer: 15 + 26 - 12 if you were to simplify the expression

Step-by-step explanation:

Students recorded the amount of liquid in fluid ounces each of them drank in one day. The box plot shows the summary of the results. Which statement best describes the data represented in the box plot?
Which statement best describes the data represented in the box plot?
Half the students drank from 78 to 114 fluid ounces.

The greatest number of students drank from 30 to 78 fluid ounces.

The data represent 78 student responses.

The mean number of fluid ounces that the students drank is 78.

Answers

Answer:

the data represent 78 students reponses

Answer:

the data represent 78 students reponses

Step-by-step explanation:

help please asap!!!!only the correct answet please​

Answers

Answer:

B

Step-by-step explanation:

Five whole numbers are written in order.


4


7


x


y


11

The mean and median of the five numbers are the same.


Work out the values of

x

and

y

.


(3 marks)

Answers

Answer:

The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115

Step-by-step explanation:

The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115

The pages of a book are numbered consecutively, beginning with 1. The digit 7 is printed 25 times in numbering the pages. What is the largest number of pages the book can have?

Answers

Answer:7

Step-by-step explanation:

pls help with mathhh !
thx !

Answers

Answer:

z = 65

Step-by-step explanation:

z + 81 + 34 = 180 (Sum of angles in a triangle is 180)

z + 115 = 180

z = 180 - 115

z = 65

z=65 i’m prtty sure..........


At the music store Katelyn bought 2 packs of
guitar strings and a music book. The book cost
$18.00. Her total purchase was $46.00. How
much is one pack of strings?

Answers

For one pack of guitar strings, it cost $14.00

answer for a brainlist!!!!

Answers

Answer:

Market A

Step-by-step explanation:

MA) 28/12= 2.33333

MB) 23.75/10= 2.375

MC) 15.75/6=2.625

Market A has the best price per shrimp

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer: x = 7

Explanation:

Subtract 8 from both sides to isolate x.

x + 8 = 15

x + 8 -8 = 15 - 8

x = 15 - 8

x = 7

Answer:

X=7

Step-by-step explanation:

have a good day /night

Jerome wants to walk to school. He lives 2 and 1/4 miles away. So far, he has walked 7/8 of a mile. How far does he have left to go?

Answers

Answer:

2 miles

Step-by-step explanation:

What is 3,000 divided by 250?

Answers

Answer: 12 100% right

Step-by-step explanation:

The value of solution of 3,000 divided by 250 is,

⇒ 12

We have to given that;

⇒ 3,000 divided by 250

Now, WE can divide as;

⇒ 3,000 divided by 250

⇒ 3,000 / 250

⇒ 12

Thus, The value of solution of 3,000 divided by 250 is,

⇒ 12

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find the area of the parallelogram

Answers

Answer:

multiply the base by the height

Step-by-step explanation:

23x13

Answer:

299 feet

Step-by-step explanation:

Okay so the cut off triangle you can move to the right side to make it a perfect rectangle. Find tha area.

13 x 23 = 299 feet

PLS HELP ILL GIVE BRAINLIEST


Explain how symmetry can help you find a figure's perimeter on the coordinate plane.

Answers

Answer: Think of it this way, symmetry is basically a mirror and you can better find the perimeter because you'll know that the sides are the same length

Step-by-step explanation:

Well if you have two sides that are symmetrical or an entire shape is symmetrical you can find the perimeter easier. So let's say two lines are symmetrical and one has the length of 2 the other one can also be two. If we have a symmetrical shape, then is would be a complete reflection.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

what is symmetry ?

The definition of symmetry is a proportionate and balanced similarity between two sides of an object, where one half is the mirror image of the other. For instance, certain geometric forms like, rectangle, and circle are symmetric along their respective axes of symmetry.

since the shape's two halves would perfectly match if you folded it along the line. The shape will also remain unchanged if a mirror were positioned along the line , a square has four lines of symmetry.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

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Solve the inequality a+4/2>16

Answers

Answer:

a > 14

Step-by-step explanation:

I hope this helps!

The solution to the inequality expression a + 4/2 > 16 is a > 14

How to solve the inequality expression?

The inequality expression is given as:

a + 4/2 > 16

Divide 4 by 2

a + 2 > 16

Subtract 2 from both sides

a > 14

Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14

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Joseph has only nickels and quarters in his piggy bank. He has 62 coins total for a
combined value of $11.10. How many nickels does Joseph have?

Answers

9514 1404 393

Answer:

  22 nickels

Step-by-step explanation:

Let n represent the number of nickels in Joseph's piggy bank. Then the number of quarters is 62-n. The total value is ...

  0.05n + 0.25(62 -n) = 11.10

  -0.20n + 15.50 = 11.10 . . . simplify

  4.40 = 0.20n . . . . . . . . . . add 0.20n-11.10

  4.40/0.20 = n = 22

Joseph has 22 nickels in his piggy bank.

Translate the description as an algebraic expression:
the difference of 4 and the absolute value of m

Answers

Answer:

4 - | m |

(Absolute value of something is denoted by writing the value between two perpendicular lines.)

you deposit $50 in checks in your account with $100 cash amount, what is your total deposit? (answer in only numbers) $


I’ll give brainiest

Answers

Its 150 dollars because your adding 50 +100


Are there similarities with the musical instruments of South Asian and Middle East? Explain.​​

Answers

nThe Middle East has been an important source of musical instruments for other parts of the world. Bagpipes, guitar, lute, oboe, tambourine, viols, and most zithers have a Middle Eastern origin.

The similarity is that both of them place value on the use of instrumental music. The South Asian and the Middle East is known to have a lot of musical instruments when compared to other parts of the world.

What are the musical instruments from South Asia and Middle East?

The musical Instruments that can be seen in Hindustani classical music are known to be the sitar, sarod, tambura, and others.

The instruments that is said to be used in Karnatak classical music are known to be the vina, mrdangam, violin and others

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A bag contains 24 discs.
8 are red and 16 are blue.
One disc is taken out at random and replaced by two of the other colour.
Another disc is then taken out at random and replaced by two of the other colour.
Another disk is taken out at random
Work out the probability that all three discs are taken out red

Answers

Answer:

Step-by-step explanation:

8/24 are Red

Pick and return 2

So it will be 7/25

Again pick and return 2

Then it is 6/26

Now multiply the results

8/24 × 7/25 × 6/26 = 7/ 325

The probability that all three discs are taken out of red will be 7/ 325.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a bag contains 24 discs. 8 are red and 16 are blue. One disc is taken out at random and replaced by two of the other colour. Another disc is then taken out at random and replaced by two of the other colour.

The probability will be calculated as,

Red = 8/24

Pick and return 2 it will be 7/25

Again pick and return 2 then it is 6/26

Now the overall probability will be,

P = 8/24 × 7/25 × 6/26 = 7/ 325

Therefore, the probability that all three discs are taken out of red will be 7/ 325.

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what is 9 2/7 simplified

Answers

Answer:

2 + (4/7)

Step-by-step explanation:

9 x 2/7 = 18/7 = 2 + (4/7)

Answer:

Exact Form:

65 /7

Decimal Form:

9. 285714

Mixed Number Form:

9  2/ 7

Step-by-step explanation:

Hope this helps:)

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