7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Answers

Answer 1

Answer:

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Step-by-step explanation:

Volume of the rectangular prism =  length *width * height

                                  = 7 1/2 * 12 * 15 1/2

                                  = 7 * 6* 15 1/2

                                  = 7*3*15

                                  = 315 cm³

Volume of the cube =  length *width * height

                                 = 1/2 *1/2 *1/2

                                   = 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

   =  Volume of the prism/ Volume of the cubes

     = 315/1/8

      = 2520

The number of cubes with edge length cm that fit in this prism= 2520


Related Questions

Walter's home was originally valued at $29,275. Due to some home improvements, its value is now $56,176. How much more is Walter's home worth now?

Answers

Answer: $26901

Step-by-step explanation:

From the information given, we are informed that Walter's home was originally valued at $29,275 but that after some improvement, it is now valued at $56,176.

Therefore, the increase in the worth of Walter's home will now be the difference in the values given above. This will be:

= $56,176 - $29275

= $26901

helppppppppppppppppppp

Answers

Answer:

vertical opposite angles are always equal

= 143°

co-interior angles are supplementary ( 180° )

∴ x = 180 - 143 = 37

∴ x = 37°

hope this answer helps you.....

please mark as brainliest.. thank you!

. During a sale, the price of a computer is reduced by $118 from the original price $590. By what percentage is the price of the computer reduced by? a 25% b. 69% C. 20% d. 75%​

Answers

Answer:

C. 20%

Step-by-step explanation:

What is the length of X?
a = 6.4
b = 12

Answers

C = 12.2
Not sure if it’s the pythagorean theorem..

Number 5 reason +++++++

Answers

Answer:

it's reason is : given BAD =CAD

please help! will give brainliest. review the graph of function h(x). what is lim x-2 h(x), if it exists

Answers

Answer:

the answer is 0 or a

This is very confusing to me, if anyone can help me I will most definitely give them the brainiest.

Answers

Answer: figure 1 and 4

Step-by-step explanation: just multiple width times length and see if they give the same answer.

hoped this helped.

Simplificación de la raíz cuadrada de 50

Answers

Answer:[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{50}[/tex] ==>

2x25 ==> El 25 lo puedes reducir más ==> 5x5

Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.

Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.

Resultado:

[tex]5\sqrt{2}[/tex]

Please answer correctly

Answers

URS= 20º

Hope this helps!!

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

12.57

Step-by-step explanation:

Evaluate the expression for a = 3, b = 4, and c = 6
a^3 - b + c

Answers

Answer:

3^3 - 4+6 = 17

Step-by-step explanation:

First you would do the exponents. 3 to the power of 3 (3^3) is 27.

Then you would add 4 and 6 (4+6) which will give you 10.

Finally, you would need to subract 10 from 27 (27-10) and you would get 17.

Hope this helps! :)

Answer:

29

Step-by-step explanation:

The expression is

a^3 - b + c

You just have to plug in the numbers, then evaluate,,

(3)³ - (4) + (6)

Let's start off with the exponent, so (3)³ = 3×3×3

3×3=9

9×3=27

Now, we have 27 - (4) + (6)

We have to get rid of the parenthesis so multiply the symbol next to it, - × 4 = -4, and + × 6 = +6. Now rewrite the equation.

27 - 4 + 6

27 - 4 = 23

23 + 6 = 29

Therefore, the answer its 29.

Hope this helps,

-Ketifa

Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

8 hours for the possible numbers of house

A circular carnival ride has a diameter of 120 ft. Suppose you board a gondola at

the bottom of the circular ride, which is 6 ft above the ground, and rotate 240°

counterclockwise before the ride temporarily stops. How many feet above ground

are you when the ride stops?

Answers

Answer:

The height above ground when the ride stops is 96 feet

Step-by-step explanation:

The given diameter of the carnival ride, d = 120 ft.

The height of the ride above the ground, h = 6 ft.

The angle through which the ride is rotated, θ = 240° counterclockwise

Therefore, we have;

The radius of the ride, r = d/2

∴ r = 120 ft./2 = 60 ft.

We note that at 180° rotation, the ride is at the highest point, [tex]h_{max}[/tex] = 6 ft. + 120 ft. = 126 ft.

When the ride rotates a further 240° - 180° = 60° the height drops from the maximum point by y = 60 ft. × cos (60°) = 30 ft., such that the final height above ground is therefore;

h = 126 ft. - 30 ft. = 96 ft.

The height above ground when the ride stops, h = 96 ft.

Can someone please me

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The various forms of the expression use the relation ...

  -5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4

Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.

(8)(-5 1/4)

= (8)(-5 + -1/4)

= 8(-5) +8(-1/4)

= 8(-5) -8(1/4)

= 8(-6 +3/4)

Attached is the non-equivalent expression.

what is the answer to
This?

Answers

Answer:

y=23

Step-by-step explanation:

What is the value of x in the equation below? 3x - 15 = 60

Answers

Answer:

3x=60+15

x=75/3

x=25

Thus the answer is 25

Answer:

[tex]3x - 15 = 60 \\ 3x = 60 + 15 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

helpp
Lily bought shares for $15 each.
When she sold the shares she made
a profit of 35%.
What price did she sell the shares for?

Answers

Answer:

profit %=35%

cp=Rs15

sp=?

profit amount =?

now,

sp=35%of cp

=35 of 15

__

100

= 5.25

again,

sp =cp + profit

=15+5.5

=20.5#

Step-by-step explanation:

hope it helps

Brad and sally made a total of 31 cakes for the school bake sale. Sally made 7 fewer cakes than brad. How many cakes did brad make?

Answers

Answer:

brad made 19 cakes, sally made 12

Step-by-step explanation:

what's the answer ?


[tex] \sqrt{72 \times 2} [/tex]

Answers

Answer:

[tex] \sqrt{72 \times 2} [/tex]=[tex] \sqrt{12²} [/tex]=±12 is your answer

The distance from the
Earth to the Moon is
238.900 miles. Earth's
diameter is 7,917 miles.
How many Earths
would fit
between Earth
and The Moon?

Answers

Answer:

30.1756...

Hope that this helps!

6/4.2 = n/7
What is the value of n
Giving a brainliest
Also dont do one of those link answers or I will report you

Answers

Step-by-step explanation:

Given

6/4.2 = n/7

Cross multiply

6* 7 = 4.2n

4.2n = 42

n = 42 / 4.2

n = 10

Hope it will help :)❤

Hopes this helps:

Answer: n= 10

I use this app called Cymath

The area of a rectangle if the length is 5 more than 4 times the width, what's the algebraic expression for this question ​

Answers

A= 4w+5

Please mark brainliest

The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b

What is the area?

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The length is 5 units more than 4 times the width

Suppose,

length = l

width = b

So, according to given condition

l = 4b + 5

Now, the area for rectangle is

A = length × width

A = l × b

A = (4b + 5) × b

Hence, the algebraic expression is (4b + 5) × b

To learn more about Area check:

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help me with this please and thank you

Answers

Answer:

12.56

Step-by-step explanation:

d = 2r = 2(2 m) = 4 m

C = πd = 3.14 × 4 m = 12.56 m

Answer:

C=12.56 m

Step-by-step explanation:

The radius is 2 m. To find the circumference, you need d, which is the diameter.

The diameter of a circle is 2 times the radius.

d=2*2=4

Now use the formula to find the circumference

C=3.14*4=12.56

Which set of tokens represents 0?
Positive
Negative


Pls helpp!!

Answers

Answer:

C.

represent 0

hope it helps

answer asap no wrong answer ~-~

Answers

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector, [tex]A=56\pi \ cm^2[/tex]

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

[tex]A=\dfrac{1}{2} r^2\theta[/tex]

Where

[tex]\theta[/tex] is the central angle

Substitute all the values,

[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]

So, the correct option is (b).

Help please (don’t judge my writing) The frequency table shows the number of Dewey Middle School students who volunteered for the Toy Drive project.
What % of the volunteers were 6th graders?

Answers

Answer:

33%

Step-by-step explanation:

(68/206) × 100 = 33%

the answer is 33%

Members of a school sports team are raising money by selling custom water bottles at school activities. They plan to sell each bottle for $13. Each bottle costs them $6. They spend $40 for advertising. Use n to represent the number of bottles they sell. Multiply this by the money they make for each bottle, then subtract the advertising cost. Which expression represents the money that the group raises? O A. 40 - (13 - 6)n O B. (13 - 6) n - 40 O C. 13n - 6 - 40 D. 13-on-40​

Answers

Answer:

B. (13 - 6)n - 40

Step-by-step explanation:

If each bottle costs them $6 and they are selling each one for $13, the amount of money they make for each bottle can be represented by (13 - 6)n

This is because this finds the profit per bottle, then multiplies it by n, which is the number of bottles they sell.

Then, since they spent $40 on advertising, subtract 40 from this.

The expression will be (13 - 6)n - 40.

The correct answer is B. (13 - 6)n - 40

The expression represents the money that the group raises is  (13-6)n  - 40

What is expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

According to the question

Members of a school sports team are raising money by selling custom water bottles at school activities.

Let number of bottle they sell = n

Selling price of a bottle = $13

Now ,

Selling price of n bottle =  $13n

Cost price of a bottle =  $6

Now ,

Cost price  of n bottle =  $6n

Money spent on advertising = $40

Total they spent on bottles = $6n +  $40

Therefore,

Money they raise in expression =  13n - 6n - 40

                                                      =  (13-6)n  - 40

Hence, The expression represents the money that the group raises is  (13-6)n  - 40

To know more about expression here:

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A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of the bacterium in meters using scientific notation? A. 7 . 5 × 10 − 8 B. 750 × 10 − 6 C. 75 × 10 − 5 D. 7 . 5 × 10 − 4

Answers

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

The diameter of the bacterium in meters using scientific notation is 7.50 × 10^-4

Length of the bacterium = 750 micrometersOne micrometer = 10^-6

How to write scientific notation

Move the decimal point in between the first and second number

Count the number of digits after the decimal point

Diameter of the bacterium in scientific notation = 7.50 × 10²

Recall one micrometer = 10^-6

So

7.50 × 10² × 10^-6

= 7.50 × 10^(2-6)

= 7.50 × 10^-4

Learn more about scientific notation:

https://brainly.com/question/5756316

6. Nicole earned $72 in 9 hours At this rate, how
much would she earn in 12 hours?

Answers

Answer:

96

Step-by-step explanation:

Because 72/9 = 8 so every hour she earns 8$

8*12=96

The amount of money in dollars earned by Nicole in 12 hours will be $96.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Nicole earned $72 in 9 hours. Then the amount of money in dollars earned by Nicole each hour is calculated as,

Rate = $72 / 9

Rate = $8 for each hour

At this rate, the amount of money in dollars earned by Nicole in 12 hours will be calculated as,

⇒ $8 x 12

⇒ $96

The cash in dollars acquired by Nicole in 12 hours will be $96.

More about the rate link is given below.

https://brainly.com/question/14731228

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[tex]38+7·(x-3)=9·(x+1)[/tex]

Answers

[tex]38 + 7x - 21 = 9x + 9[/tex]

Combine like terms.

[tex]17 + 7x = 9x + 9[/tex]

Eliminate a x.

[tex]17 = 2x + 9[/tex]

[tex]8 = 2x[/tex]

[tex]x = 4[/tex]

38 + 7x - 21 = 9x + 9

7x + 17 = 9x + 9

Subtract both sides 9

7x + 17 - 9 = 9x + 9 - 9

7x + 8 = 9x

Subtract sides 7x

7x - 7x + 8 = 9x - 7x

8 = 2x

Divide both sides by 2

8 ÷ 2 = 2x ÷ 2

x = 4

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