A rectangular prism has a length of 20 in., a width of 2 in., and a height of 314 in.
The prism is filled with cubes that have edge lengths of 14 in.
How many cubes are needed to fill the rectangular prism?
AAAAAAAAAAAAAAAAAAAAAAA I NEED HELPP
Answers
V = l x w x h
where l is the length
w is the width
h is the hieght
V = 20 x 2 x 314
V = 12560 cu in
then solve the volume of the cube
V = e^3
V = 14^3
V = 2774 cu in
number of cube = 12560 / 2774
number of cube = 4 cubes
Answer:
• first find the volume of the rectangular prism:
\({ \tt{volume = length \times height \times width}} \\ \\ \dashrightarrow \: { \tt{v = 20 \times 314 \times 2}} \\ \\ { \underline{ \tt{ \: \: volume = 12560 \: in {}^{3} \: \: }}}\)
• find volume of the cubes:
\({ \tt{volume = {side}^{3} }} \\ \\ { \tt{v = 14 {}^{3} }} \\ \\{ \underline{ \tt{ \: \: volume = 2744 \: {in}^{3} \: \: }}}\)
• Therefore:
\({ \tt{cubes = \frac{volume \: of \: prism}{volume \: of \: cubes} }} \\ \\ \dashrightarrow \:{ \tt{ \frac{12560}{2744} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{ \: \: 4.58 \approx \: 5 \: cubes}}}\)
Related Questions
solve for z
10z − 7z = 3
Answers
10z − 7z = 3
The answer is Z = 1
Answer:
z = 1
Step-by-step explanation:
10z - 7z = 3
collect like terms (10z and 7z)
10z-7z=3z
3z =3
divide for both sides
z = 1
Finish these 2 questions please.
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Answer:
1.A mortal wound is one that causes death
2.A benefactor is someone who helps with gifts of money
Step-by-step explanation:
Could i have branliest sense i didnt copy? plz and thanks
Thanks
PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!
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A spinner has 2 congruent sectors coloured blue and green. The pointer is spun once, and a coin is tossed.
Find the probability of each event:
a) blue and tails
b) blue or green and heads
Answers
Answer:
23% and then 75% I am unsure if I'm right though
........
Sean's mother asked him to buy 5.5 cups of cream for a recipe. He found a 4-cup carton and a 15-ounce carton at the store.
Part A
To convert ounces to cups, (divide or is it multiply) ounces by (2, 4, 8, 12, 16) .
Part B
Will the 2 cartons be enough?
The 2 cartons (will, will not) be enough.
PLEASE HELP ME! I NEED YOU TO PICK THE OPTION THATS CORRECT AND IF IT IS, ILL GIVE BRAINLEIST FOR SURE!!!
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PLEASE HELP! WILL GIVE BRAINLIEST
Answers
*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?
Answers
Answer:
A. 14 square units
Step-by-step explanation:
Hey there :)
Well let's find the area of each individual rectangles.
Let's start with the side rectangle.
It has dimensions of 5*1 = 5.
5 square units
Now the 3 rectangles left have dimensions of 3*1=3,
3*3 = 9.
5+9=14
14 square units
Answer:
A, 14 square units
Step-by-step explanation:
What I would do is separate them into 4 shapes like the picture below
Because all of the shapes are rectangles, you can use the formula
\(A=L*W\)
For shape #1, the length is 1 and the width is 3. Plot the numbers
\(A=1*3\)
Multiply 1 by 3 to get
\(A=3\)
The area of shape #1 is 3
The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get
\(3*3\)
\(9\)
The area of shape #1, 2, and 3 are 9.
Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.
Use the same formula to get
\(A=5*1\)
Multiply 5 by 1 to get
\(A=5\)
The area of shape #4 is 5
The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9
\(A=5+9\)
This gives you your answer which is
\(A=14\)
Hope this helps.
Feel free to ask any more questions if you are confused.
Have a great day! :)
the parent’s height is 9 cm and the child’s height is 6 cm.
The child’s actual height is 1.3 m.
What is the actual height of the parent?
Answers
Answer:
1.95 m
Step-by-step explanation:
The ratio between the parent's height and the child's height stays the same.
Therefore, 9:6 = 1.5:1.
1.5:1 = x:1.3
Hence, after calculation, the parent's height is 1.95 m.
Please give Brainliest if you found this helpful!
Answer:
19.5
Step-by-step explanation:
Given the absolute value function j(x) = |x|, what's the equation that results from translating j(x) right 8 units and up 6 units?
A) j(x) = |x + 8| + 6
B) j(x) = |x – 8| + 6
C) j(x) = |x – 6| + 8
D) j(x) = |x + 8| – 6
Answers
The two plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot above the third mark, 1 dot above the fourth mark, 3 dots above the fifth mark and 1 dot above the sixth mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.8. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)
Group of answer choices
1.5
2.2
3.0
4.6
Answers
Answer:
i think its 3.0 but im not sure
Step-by-step explanation:
MULTI CHOICE Q
look in picture
Answers
Answer:
D
Step-by-step explanation:
The two legs ( shorter sides) have the right angle between them in a right triangle and
5^2 + 9^2 DOES equal 13^2
side with a right angle between them. The 13 cm side will fit to form a right triangle.
Explain how you decide which part of a problem will be represented by the variable x, and which part will be represented by the variable y in the graph of the situation.
Answers
Answer:
6+ 4/a+b/3 when a = 4 and b=3
Amal usually brings lunch to the school in the lunch box shown below. The length, breadth, and height of the box are in the ratio of 2:3:4 and the sum of the cubes of length, breadth, and height of the box equals 33957 cm³.
Find the length of the longest edge of the box.
Find the sum of the length and breadth of the box.
Answers
Answer: length of longest side = 15092 cm
sum of length and breadth = 18856 cm
Step-by-step explanation:
1st question
length : breadth : height
2 : 3 : 4
2 + 3 + 4 = 9
33957 ÷ 9 = 3773
longest side is the height because it has the biggest number in the ratio
∴ longest side = 4 × 3773 = 15092 cm
2nd question
length : breadth : height
2 : 3 : 4
2 + 3 + 4 = 9
33957 ÷ 9 = 3773
→ length = 2 × 3773 = 7546 cm
→ breadth = 3 × 3773 = 11319 cm
∴ length + breadth = 7546 + 11319 = 18865 cm
Hope this helps!
The Length of longest edge of the box = 28 cm
The Sum of length and breadth of the box = 35 cm
Steps to calculate the length, breadth and height
Given, ratio(length : breadth : height) = (2:3: 4)
Let length = 2x, breadth = 3x and, height = 4x
Given, the sum of the cubes of length, breadth, and height of the box equals 33957 cm, therefore
\((2x)^3\) + \((3x)^3\) + \((4x)^3\) = 33957
8\(x^{3}\) + 27\(x^{3}\) + 64\(x^{3}\) = 33957
99\(x^{3}\) = 33957
\(x^{3}\) = 343
\(x^3\) = \(7^3\)
x = 7.
Therefore, length = 2x = 2*7 = 14 cm, breadth = 3x = 3*7 = 21 cm, height = 4x = 4*7 = 28 cm. Hence, Length of longest side(height) = 28 cm, Sum of length and breadth = 35 cm
Learn more about cubes:
brainly.com/question/19891526
brainly.com/question/14075440
please help (fractions)
Answers
Answer: 2/15 and 9/10
Step-by-step explanation:
Set up cross-multiplication.
If Michelle reads 1/3 book in 2 1/2 hours, she reads X in 1 hour.
1/3 2 1/2
x 1
1/3 = 2 1/2 x
divide by 2 1/2
1/3 divided by 2 1/2 = convert 2 and a half to 5/2
1/3 divided by 5/2 - keep, change, flip. (your teacher should have covered a method like that)
1/3 times 2/5 is 2/15.
For question 2, lets do the same thing.
3/5 times 2/3 equals x times 1
3/5 times 1 is 3/5
2/3 times x is 2/3x
(this looks better on paper)
3/5=2/3x
divide by 2/3
answer - he will finish 9/10 assignment in the hour
1/3 book = 2 1/2 (5/2) hours
1/3 *2/5 = 1 hour
2/15 book reading in 1 hour
Q2
3/5 = 2/3 hours
3/5 * 3/2 = 1 hour
9/10 assignment in one hour
22.54 ÷ 4.9 =?
A. 0.46
B. 0.45
C. 4.5
D. 4.6
Answers
Answer:
D. 4.6
Step-by-step explanation:
22.54 / 4.9 = 4.6.
You win a prize and are offered two choices. Which of the choices could be represented by a linear equation?
Choice A: $20 on January 1, $60 on February 1, $180 on March 1, $540 on April 1, and so on, with the amount tripling each month.
Choice B: $100 the first month, $300 the second month, $500 the third month, and so on, with $200 added each month.
answer choices:
Choice A
Choice B
Not enough information is given
Neither is linear
Answers
Answer:
choice b because it is constantly going up the same amount.
List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the fraction formed must be in simplest form [For the ones who can't read what it says.]
Answers
Answer:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Step-by-step explanation:
Im not good at thisssss
Answers
Answer:
131.88 206 20 621.72 64 12 9580 :)
3.9y + 3 - 2.9y=
anybody know?!
Answers
Answer:
= y + 3
Step-by-step explanation:
Group:
= 3.9y - 2.9y + 3
Add elements together:
= y + 3
Arrange equation so that like terms are next to each other
3.9y - 2.9y + 3
Subtract.
1y + 3
Since 1y and 3 are not like terms, we cannot add them.
Therefore, 1y + 3 is the answer.
You can also write y +3.
After a sequence of transformations involving reflections, rotations, and translations, can someone explain why the final image is congruent?
Answers
Answer: It's congruent because translations, rotations, and reflections only move the shape's location and do not change the shape itself. A rotation changes the shape's position by rotating it around a specific point, but that shape is still the same. Reflections only mirror the shape, so while it will look inverted, it is still the same shape. Translations Only move a shape up or down along the y-axis or laft and right along the x-axis. Congruence essentially means that the shape has the same form and dimensions, not the exact location.
I need help please i need correct answer
Answers
Answer:
2
Step-by-step explanation:
A cylinder has a radius of 4 cm and a height of 5cm. What is the volume of the cylinder?
Answers
Answer:
251.33
Step-by-step explanation:
Accurate Answer : V=πr2h=π·42·5≈251.32741cm³
The tables represent the points earned in each game for a season by two football teams.
Jaguars
3 14 7
7 21 10
17 6 14
24 21 7
10 17 3
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14
Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Jaguars; they have a larger median value of 10 points
Falcons; they have a larger median value of 24 points
Jaguars; they have a larger mean value of about 12.1 points
Falcons; they have a larger mean value of about 20.9 points
Answers
The Falcons had the best overall record for the season. They have a larger mean value of about 20.9 points. The mean is the best measure of center to compare in this case because it takes into account all the data points and gives an overall average of the points earned by each team throughout the season.
Answer:
The answer is 20.1
Step-by-step explanation:
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Write the expression as a number in scientific notation.
Pls help me or I'm gonna fail :(
Answers
Answer:
(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation
Answer:
As a professional failure, I shall try this.
3.5 * 10^3
Is 4.88 x 4.57 x 2.52 inches larger than 4.06 x 1.3 x 3.23 inches?
I think it is but I just want clarification.
Answers
Answer:
4.88 x 4.57 x 2.52= 56.200032
4.06 x 1.3 x 3.23= 17.04794
Step-by-step explanation:
Yes 4.88 x 4.57 x 2.52 is larger than 4.06 x 1.3 x 3.23
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answers
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
Please help asap! I cant figure it out! Ty!♡♡
Answers
16+16= c squared
16+16=32
Number that goes in root is 32
To earn full credit you must do the following:
1.Write the inequality that represents the situation (15 points)
2.Solve the inequality that represents the situation (15 points)
3.Graph the inequality that represents the situation (15 points)
4.Interpret the solution within the context of the problem (5 points)
problem: Mrs. Smith decides to buy three sweaters and a pair of jeans. She has $120 in her wallet. If the price of the jeans is $35, what is the highest possible price of a sweater, if each sweater is the same price?
Answers
Answer:
$120-$35
$120$-35=$95
cant graph it
each sweater cost: $11.6666666667
Step-by-step explanation:
Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.
A. 5 × 3 = 15
B. 1/5 × 1/3 = 1/15
C. 1/5 × 3 = 3/5
D. 5 ÷ 1/3 = 15
E. 1/3 ÷ 5 = 1/15
Answers
Answer:
A and D
Step-by-step explanation:
One pear is split into thirds. That means that one pear can become 3 slices. Because you have 5 pears, you have 15 slices. By multiplying 3 (slices) and 5 (pears), we receive the answer of 15 slices.
The answer is A and D.
Step-by-step explanation - Kylie brought 5 pears to practice. Because she cut each of them into thirds, this means that each pear equals 3 slices - therefore making the equation 5 x 3 = 15 and also making the equation 5 ÷ 1/3 because them two both equal 15.