Determine the number of 1/2 inch cubes that can pack the prism shown

Answers

Answer 1

The total number of Cubes that can be packed in the Rectangular Prism will be 84 Cubes

In the picture mentioned below, We have a Rectangular prism with the dimensions Length = [tex]3\frac{1}{2}[/tex] in, Breadth = 2 in, Height =  [tex]1\frac{1}{2}[/tex] in

Also, It is given that cubes of Dimension [tex]\frac{1}{2}[/tex] inches are to be packed in the Rectangular Prism.

Firstly, We need to find the volume of Both the Prism & the Cube.

Since, The it is a Rectangular Prism, Volume of cuboid = ( l*b*h )

Volume of Prism, V1 = l*b*h => l =[tex]3\frac{1}{2}[/tex], b = 2, h = [tex]1\frac{1}{2}[/tex]

                        => V1 = [tex]3\frac{1}{2} * 2 * 1\frac{1}{2}[/tex]    => V1 = 10.5 [tex]in^{3}[/tex]

Volume of Cube, V2 = l * l * l => l = [tex]\frac{1}{2}[/tex]

                       => V2 = [tex]\frac{1}{2} * \frac{1}{2} * \frac{1}{2}[/tex]       => V2 = 0.125 [tex]in^{3}[/tex]

To find out the number of cubes that can fit inside the prism we need to divide the volume of the prism by the volume of cube => V1/V2

                       =>  N =  [tex]\frac{V1}{V2}[/tex]  =>  [tex]\frac{10.5}{0.125}[/tex]

                       =>  N = 84 Cubes.

Hence, the Total number of cubes that can fit inside the Prism will be 84.

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Determine The Number Of 1/2 Inch Cubes That Can Pack The Prism Shown

Related Questions

What is the measure of an exterior angle of a regular ten-sided polygon?

Answers

Answer:

36 each and 360 for all exteriors

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

36 x 10 ( how many sides a decagon has) = 360 degrees

 A company has 37 2/11
acres of land. They give the City 5 1/2 acres for park. How many acres does the company now own?

Answers

Answer:

31 15/22 acres

Step-by-step explanation:

2/11=4/22

1/2=11/22

=15/22

37-6=31

31+15/22=31 15/22

20,000 ten thousands equals how many hundred thousands

Answers

20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, [tex](20000*10,000)=200000000[/tex].

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  [tex](100,000*x)=200000000[/tex]

[tex]or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000[/tex]

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

Linear Equation: linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c)  where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.

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A number added to -19 is equal to -21

Answers

Answer:

-2

Step-by-step explanation:

Let, the needed number be x;

x-19=-21

x=-21+19

x=-2

Write the following expression using the fewest possible terms. (−4x − 15) + (17 + 7x)

Answers

Answer:

3x +2

Step-by-step explanation:

Write the following expression using the fewest possible terms.

(−4x − 15) + (17 + 7x) =

-4x -15 + 17 + 7x=

3x +2

what is 9/8 times 3/8

Answers

9 times 3 / 8 times 8 = 27/64

Me wailer has 32 students in his class he wishes to place them into groups of 8 of equal size which of the following represents the number of the students per groups

Answers

Answer:

Step-by-step explanation:

8 x 4 = 32
8 + 8 + 8 + 8 = 32

32 ÷ 4 = 8

What is the value of this expression?
(5 3)
0512
0 5¹
05-¹
057

Answers

Answer:

a

Step-by-step explanation:

Members of a soccer team raised $2143.50 to go to a tournament. They
rented a bus for $888.50 and budgeted $62.75 per player for meals. Write
and solve an equation which can be used to determine x, the number of
players the team can bring to the tournament.

Answers

Fisuratiakysitsotwkt oysiteitetits kysitsi

a bottle of wine costs $20. if the wine is $5 more than the bottle, how much is the bottle?​

Answers

Answer: the bottles cost is 15$

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the wine bottle is $20 and the bottle is $5 less, then 20-5=15.

The bottle costs $15

Which is an expression of degree 4 quadratic term with coefficient of 10.

Answers

Answer: think that it is four

Step-by-step explanation: but i don't know because  i looked it up

12. Which of the following is a false statement?
A. Natural numbers are closed under division.
B. Integers are closed under subtraction.
C. Even numbers are closed under multiplication.
D. Real numbers are closed under addition.

Answers

Answer:

A

Step-by-step explanation:

Compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal

Answers

5DBE16-9AF416 using 2’s complement is -2635716 octal.

We need to compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal.

What is two's complement?

When two's supplement is utilized to address negative numbers, the main piece (MSB) is used to show the indication of the number. A 1 in the MSB position shows a negative number, and a 0 in the MSB position demonstrates a positive number. In two's supplement, negative numbers are addressed by the converse of the positive number in addition to 1.

To find the backwards of a number, every digit is just upset - 0 changes to 1, and 1 changes to 0. In this way, the converse of 5DBE16 is A2416. One is added to the opposite to find the two's supplements giving us A2417.

2's supplement of a number=the numbers supplement+1

5DBE16-9AF416=464416-9AF416=-54AF416+1=-54AF416

The two's supplement of a number can be determined by deducting the number from 2^n, where n is the number of pieces used to address the number. Along these lines, for this situation, we would take away 5DBE16 from 2^32, which gives us 464416.

Since the 2's complement of a number is equivalent to the negative, we can say that 5DBE16-9AF416=-54AF416.

To change over a two's supplement number to octal, we can involve a similar technique as we would use to switch a paired number over completely to the total. We bunch the pieces into three sets, beginning from the right, and convert each gathering into an octal digit.

In this way, the 2's supplements of 5DBE16-9AF416 would be composed as continues in octal 464416-9AF416=-2635716 octal

Therefore, 5DBE16-9AF416 using 2’s complement is -2635716 octal.

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You start at (5, -2). You move up 2 units and left 10 units. Where do you end?

Answers

Based on the translation, your end position is (- 5, 0)

How to determine your end position?

The given parameters are

Start position = (5, -2)

Navigation = You move up 2 units and left 10 units.

This can be represented as

(x, y) = (x - 10, y + 2)

So, we have:

End position = (5 - 10, -2 + 2)

Evaluate

End position = (- 5, 0)

Hence, your end position is (- 5, 0)

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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to milliliters. Find the percent of decrease.

Answers

The percentage decrease is 43.75%

How to calculate the percentage?

Initial volume = 3.2 millimeters

After experiment volume = 1.8 millimeters

Reduction = 3.2 - 1.8 = 1.4 millimeters

Therefore the percentage decrease will be:

= Reduction/Initial value × 100

= 1.4/3.2 × 100

= 43.75%

Therefore, the percentage decrease is 43.75%

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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.

True or false every rational number is a real number

Answers

Answer: TRUE

Step-by-step explanation:

Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.

Compare and contrast the two dot plots shown

Answers

answer:

kids that play basketball  are taller than kids that play baseball

Step-by-step explanation:

as we see the average height of baseball players ( the majority)  is 68 inches and 70 while basketball is 70 to 74

hope this helped have a good day guv'nor :D

Chen says the product of 4x0 is the same as the sum of 4+0. Is Chen correct? Explain.

Answers

Answer:

No

Step-by-step explanation:

The product of zero and any number is zero. Basically, if you multiply any number with zero, you get zero. Hence, 4*0=0. However, anything added with zero is itself since you're basically not adding anything to that number. For example, nothing is being added to 4 in '4+0', so 4+0=4.

4*0=0

4+0=4

0[tex]\neq[/tex]4

Graph y = 5.
Answer??

Answers

Answer is in the image below . -

Please help!
Let z=3. Evaluate the expression.

4z - 15


12

-3

28

3

Answers

Answer:

-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.

Step-by-step explanation:

= 4*3 - 15

= 12 - 15

= -3

Write an equation in slope intercept form that’s Perpendicular to y=1/4x+2, and passes through (0,0)

Answers

The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.

Perpendicular lines

It follows from the task content that the line given is; y=1/4x+2.

It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.

Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.

Hence, m × (1/4) = -1

m = -4.

Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.

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PLEASE HELP ME I NEED THIS ASAP!!!

Answers

Answer: 1. D=(7, 4)

2. D=(-2, -2)

3. D=(6, -4)

Step-by-step explanation:

1. point B goes to point C by moving right 6 units and moving down 2 units.

point A goes to point D by moving right 6 units and moving down 2 units.

A=(1, 6)

D=(1+6, 6-2)

D=(7, 4)

2. point B goes to point C by moving left 4 units and moving down 6 units.

point A goes to point D by moving left 4 units and moving down 6 units.

A=(2, 4)

D=(2-4, 4-6)

D=(-2, -2)

3. point B goes to point C by moving right 8 units and moving down 2 units.

point A goes to point D by moving right 8 units and moving down 2 units. A=(-2, -2)

D=(-2+8, -2-2)

D=(6, -4)

Question 3(Multiple Choice Worth 2 points) (Order of Operations with Radicals LC) Simplify the expression. 20(6) − 7 113 20 −20 −113

Answers

The simplified value of the expression will be -824.

What is algebraic expression ?

An algebraic expression in mathematics is made up of variables, constants and operations such as addition, subtraction, etc.

Given that the expression is 20 × (6) − (7 × 113 × - 20) − 20 − 113.

Now , we will simplify the above expression using PEMDAS rule , which follows the order that is parentheses, exponents, multiplication, division, addition, subtraction.

So , if we solve the expression we will get ,

= (20 × 6) − (7 × 113) - 20 − 20 − 113

Firstly , solve terms which are in parentheses.

= 120 - 791 - 20 - 20 - 113

Now , we will add all the negative terms.

= 120 - 944

Now , subtracting both numbers.

= -824

Thus , the simplified value is equal to -824.

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what does 2/5 divied by 3/4 equal

Answers

Answer: 8/15

Step-by-step explanation:

2/5 x 4/3 (fraction rule)

2 x 4 / 5 x 3

2 x 4 = 8

8 / 5 x 3

5 x 3 = 15

= 8/15


Can somebody help me if you know what this is

Answers

Answer:

-2.5, -7/3, |-2|

Step-by-step explanation:

-2.5 = -2.5
-7/3 = -2.333333333...
|-2| = 2

middle then first then last is least to greatest

What are two different ways to describe the relationship between the values of each digit 8 in 3.884

Answers

Answer: 8 is 10x bigger than 8 8 is 10x less than 8

Step-by-step explanation:

HELP . Gilligan sees a ship coming close to the shore he's standing on. He wants to

determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90° and walks until his location (point A), point C, and point S are collinear. Answer the following questions making sure to show all your work.

(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?

(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.​

Answers

The distance (segment SD) from the ship to the shore and  Gilligan sees a ship coming close to the shore he's standing on.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.

As a result, Gilligan may deduce that triangles ABC and SDC are comparable.

How to Determine SD Distance

To do this, we employ the corresponding ratio shown below.

90 should be substituted for AB.

Calculate as a fraction

Make SD the topic.

As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.

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RSTU is a rhombus with an area of 480 square inches.
Diagonal RT is 20 inches long. What is the length of UO?
R
20
A 24 in.
C 36 in.
(not drawn to scale)
S
B 32 in.
D 40 in.

Answers

The length of UO in the rhombus is 24 inches

How to determine the length of UO?

The given parameters are

Area = 480 square inches

Diagonal RT = 20 inches

The area of the rhombus is calculated as

Area = RT * US/2

Where UO = US/2

So, we have

Area = RT * UO

So, we have

20 * UO = 480

Divide both sides by 20

UO = 24

Hence, the length of UO is 24 inches

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OSTATISTICS
Choosing the best measure to describe data
Answer the questions below.
(a) The 10 members of the swim team completed the following numbers of laps at today's practice:
76, 77, 78, 79, 82, 83, 86, 87, 89, 91.
Which measure should be used to summarize the data?
Mean
O Median
O Mode
(b) Lucy has recorded the number of miles she has driven for each of the last 9 weeks:
126, 380, 383, 385, 386, 396, 398, 404, 419.
Which measure should be used to summarize the data?
Mean
Median
O Mode
(c) A reporter has recorded the rating (G, PG, PG-13, or R) of each movie played in a theater over the
past year.
Which measure gives the most common rating?
O Mean
Median
O Mode
S

Answers

Answer:

a) Mean

b) Median

c) Mode

Step-by-step explanation:

a) The data set has no outliers, therefore taking the average (mean) would be the best.

b) The data has outliers which would skew a mean. None of the numbers repeat, therefore mode would not work, so by process of elimination, one can find that Median is the best.

c) This data set does not have numbers, therefore mean does not make sense. The most common rating would be the rating that occurs most often, which would be mode.

Lesson 4 multiplication pattern
70 x 500 =

Answers

Answer:

3500

Step-by-step explanation:

An easy way to solve this specific problem would be to multiply 7 and 5 together to get 35 and then add on the two zeros from 500 to get 3500. Or you can do the standard multiplication strategy.

Hope this helps!

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