what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?

Answers

Answer 1

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.


Related Questions

Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.

Answers

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

A librarian has 883 books to place on shelves. Each shelf holds 98 books.
How many books will be left over after filling as many shelves as possible?

Answers

Answer:

She will be able to fill 9 shelves with 1 book left over.

Let me know if you need more help! :)

Step-by-step explanation:

883/98

=9

9 books will be left

An employer's accountant has announced that
the budget for the next year must be cut by 1/3 How much must be cut from the
budget if last year's budget was
$166,245?
A. $11,830
B. $55,415
C. $166,245
D. $498,735

Answers

I think it’s c hope that’s helped

A poll asked 325 people whether they would support a certain amendment to the state constitution. 58% of people said they would.

Write a 95% confidence statement.

Answers

188 people said they would and 136 people said they wouldn’t.

Simplify (W^4)^4 without parentheses

Answers

Answer:

w^16

Step-by-step explanation:

you have to multiply the exponents when this happens so 4*4=16

The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.

Answers

Answer:

its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)

Two way frequency table: Pairs categorical values to list frequencies  

Step-by-step explanation:

For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.

Lunch Bevarage

genders               Juice.           Milk.         Water.     Total

Girl :                     10                  13              17            40

Boy:                     15                  24             21            60

Total:                   25                 37             38      =    100

+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.

Answers

Answer:

4. The quotient of 0 and a is undefined.

Step-by-step explanation:

Let's examine each statement to see which is true or untrue.

✔️Statement 1:

a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.

Statement 1 is true.

✔️Statement 2:

Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.

Statement 2 is correct.

✔️Statement 3:

c is a positive number. b is negative number. Positive divided by negative = negative.

Statement 3 is correct.

✔️Statement 4:

Dividing 0 by any number would give us a quotient of 0.

Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.

What does a cluster tell you about the data on a scatter plot?

Answers

It can tell you the general pattern or that it is far from the other points in scatter plot.

Answer:

it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing

Step-by-step explanation:

27.1018494699 round to nearest hundred-thousandth

Answers

Answer:

27.101

Step-by-step explanation:

Jkgdgdkhhgkdksytsktsykkusutskfkxh

Answers

39% , 39/100, and .39 are all equal

Answer:

39% , 0.39 , 39/100

Step-by-step explanation:

I thought your randomness of letters was your question lol. Hope this helps though!

A meal has 408 calories in 8 serving find the unit rate. ANSWER PLEASE DUE TONIGHT

Answers

I think you would just do 408 divided by 8 so that would equal 51 calories per serving!
I hope this helps

Answer:

51

Step-by-step explanation:

408/8= 51

(its that simple)

I'm not understanding ​

Answers

Answer:

D. x = 3

Step-by-step explanation:

We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.

Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.

The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?

Answers

Answer:4=1/2x

X=8

Step-by-step explanation:

Jada sells ground paprika.

Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.

What is Jada's profit if she sells 60 kilograms of paprika?

Answers

Answer:

200

Step-by-step explanation:

Find 60 kilos then just follow the line up till you reach the blue line  

what is the area of a circle if the diameter is 6 in

Answers

Answer:

28.27 in²

Step-by-step explanation:

Since Area =  π  times  r²

And  2

r  =  Diameter

As  Diameter  =  6

r = 3

Area =  π x  3²

        = π x 9

        = 28.27 in²

Jennifer’s mom is putting a basketball hoop on the garage. The garage door is 8 feet high. There is 7 feet of wall between the top of the garage door to the garage roof. How far down from the garage roof should the hoop be placed so that it is 10 feet above the ground?
a) 3
b) 5
c) 4
d) 2

Answers

Answer:

B

Step-by-step explanation:

Write an Equivalent Expression by combining like terms for 2x+3x+y+2y

Answers

Answer:

5x+3y

Step-by-step explanation:

2x+3x=5x since they have the same variable.

y+2y

1y+2y u can put a 1 so that would be 3y

5x+3y

HELPPPPP!!! 20 points

Consider the equation 6x+3y=9 Which equation, when graphed with the given equation will form a system with
infinitely many solutions?
y+ 2x-3
y+2x9
Oy=2x+3
Oy=-2x+9

Answers

Answer:Oy=2x+3

Step-by-step explanation:


Need help for geometry.

Answers

Answer: The first.

Step-by-step explanation: If you draw out a triangle and lable the points on each point with values from each triangle, you get J=M, K=N, and L=O. The first is the only one that proves it.

Ella's father paid her $9.15 for helping him rake leaves, clean flower beds, and haul trash. If she received an equal amount for each job, how much did he pay her for raking the leaves?

Answers

Answer:

$3.05?

Step-by-step explanation:

[tex]\sqrt{x} 5*\sqrt{x} 8[/tex]

Answers

There you go... this is the answer simplified

Find the value of the power 6 to the -4th

Answers

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when the volume of the sphere is 274 cubic feet, what is the rate of change of the volume? The volume of a sphere can be found with the equation V=4/3π(r)^3. Round your answer to three decimal places.

Answers

ok so radius round the answer

Find 4cos2a, if
[tex] \cos(a) = \frac{ \sqrt{3} }{2} [/tex]

Answers

If you mean to find 4 cos(2a), then recall the double angle identity for cosine:

cos(2x) = 2 cos²(x) - 1

so that

4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

A. 100 miles divide 2.5 hours = 40 miles per hour

slope = 2; y-intercept = -1

Answers

Answer:

line equation: y= 2x-1

Slope intercept formula

y=mx+b

m is also the slope

b is the y-intercept

y=2x+(-1)

+ positive sign and -negative sign= - negative sign

y=2x-1

Answer :

y=2x-1

During a thunderstorm, 4
inches of rain fell in 2 1/2
hours. What was the rate of rainfall in inches per hour?

Answers

Answer: 1.6 in per hour

Answer:

hourly rate.

Step-by-step explanation:

As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.

However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.

For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.

Help me with this please

Answers

Answer:

It would be -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

You need to separate the 8 from each side of the equation. Picture it like this:

-104= 8 (multiplied by) x

To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.

-104/8=8x/8

-13=x

Joe paid $14.00 for a board game. This is 70% of the original price. What was the original price?

Answers

Answer:

69.99

Step-by-step explanation:

Answer:

23.80

Step-by-step explanation:

Your packaging orders at green market food suppliers.each crate holds four large bottles one in each quadrant identify the mixed fraction in simplified form of bottles in the tow crates in the drawing

Answers

Answer: 1/2

Step-by-step explanation:

Answer:

1 and 1/2

Step-by-step explanation:

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