Two larger cubes are made out of unit cubes. Cube A is 2 by 2 by 2. Cube B is 4 by 4 by 4. The side length of Cube B is twice that of Cube A.
Is the surface area of Cube B also twice that of Cube A? Explain or show your
reasoning
Is the volume of Cube B also twice that of Cube A? Explain or show your
reasoning
Answers
The side length of Cube B is twice that of Cube A.
The surface area of Cube B is not twice that of Cube A.
The volume of Cube B is not twice that of Cube A.
What is the surface area of a cube?
The surface area of a cube is the total of all of its covered faces. Six times the square of the cube's side length is the formula for surface area.
Here, we have
Given: Two larger cubes are made out of unit cubes. Cube A is 2 by 2 by 2. Cube B is 4 by 4 by 4. The side length of Cube B is twice that of Cube A.
Cube A is 2×2×2.
Cube B is 4×4×4.
The side length of Cube A is 2 and the side length of Cube B is 4. So, the side length of Cube B is twice that of Cube A.
The surface area of a cube is
Area = 6(side)²
Using this formula we get
Area of cube A = 6(2)² = 24
Area of cube B = 6(4)² = 96
96 is 4 times 24.
Hence, the surface area of Cube B is not twice that of Cube A.
The volume of a cube is
Volume = (side)³
Using this formula we get
The volume of cube A = (2)³ = 8
The volume of cube B = (4)³ = 64
64 is 8 times 8.
Hence, the volume of Cube B is not twice that of Cube A.
To learn more about the surface area of a cube from the given link
https://brainly.com/question/28776132
#SPJ1
Related Questions
A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length
Answers
Answer:
18
Step-by-step explanation:
The formula for area is a=lw
So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.
When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04
Answers
Answer: 601
Step-by-step explanation:
The formula to find the minimum sample size(n) , if the prior population proportion is unknown:
[tex]n=0.25(\dfrac{z^c}{E})^2[/tex], where E = margin of error , [tex]z^c[/tex] = critical z-value for confidence level c.
Given : E = 0.04
Z-value for 95% confidence = 1.96
So, the minimum sample size required = [tex]0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2[/tex]
[tex]= 0.25\times 2401=600.25\approx601[/tex]
Hence, the minimum sample size required = 601
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answers
Answer:2 4 and 5
Step-by-step explanation:
Kira skied at a steady speed in a 2 mile cross country ski race her finished time was 5/12 hour Kira wants to know her speed miles per hour
Answers
Answer: The purpose of this task is to give students experience in reasoning with equivalent ratios and unit rates from both sides of the ratio. This prepares for studying proportional relationships in Grade 7, and in Grade 8 for understanding that a proportional relationship can be viewed as a function in two different ways, depending on which variable is regarded as the input variable and which as the output variable. The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.
If we look in column E, we can see that it would take her 45 minutes to run 6 miles.
If we look in column B, we can see that she could run 2 miles in 15 minutes.
If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.
If we look in column C, we can see that her pace is 7.5 minutes per mile.
If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5minute mile×6 miles=45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
Using the speed - distance relationship, kira's speed in miles per hour would be 4.8 miles per hour.
Given the Parameters :
Speed = 5/12 hours = 0.416666 hour Distance = 2 miles Speed = distance / timeHence,
Speed = (2 ÷ 0.416666) = 4.8 miles per hour.
Therefore, Kira's speed is 4.8 miles per hour.
Learn more : https://brainly.com/question/13816092
A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of bread to the numbers of total slices they contain?
Answers
Answer:
which table?
Step-by-step explanation:
im assuming it would look like this
1 24
2 48
3 72
4 96
5 120
6 144
7 168
8 192
9 216
10 240
just multiply the number of loaves to 24
Hope this helped :)
An airplane can ascend at a rate of meters in of a second. How many meters can the airplane ascend in one second?
A. 35
B. 52 1/2
C. 78 3/4
D. 39 3/4
Answers
Answer:
78 3/4 I think is the answer
How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 10 inches long?
Answers
Answer:
20.95 inches
Step-by-step explanation:
The complete revolution of the minute hand forms a circle in 60 minutes.
circumference of a circle = 2[tex]\pi[/tex] radius
i.e C = 2[tex]\pi[/tex]r
But from the question, r = length of the minute hand = 10 inches
⇒ C = 2[tex]\pi[/tex] x 10
= 20[tex]\pi[/tex]
C = 20[tex]\pi[/tex] inches
Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.
So that,
the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C
= [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]
= [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]
= 20.9524
= 20.95 inches
Thus, the distance of the tip of the minute hand is 20.95 inches
The state of Montana is experiencing a warm day after a heavy snowfall. The graph shows the height of snow, h, in centimeters after t hours.
1.) What linear function does the graph represent.
h= 3t = 6
h=3t+18
h=−3t+18
h=−3t+6
The initial value represents which of the following?
The amount of snow melting each hour.
The amount of snow remaining after four hours.
The amount of snow that accumulated the previous night.
Answers
Answer:
1. [tex] h = -3t + 18 [/tex]
2. The amount of snow that accumulated the previous night.
Step-by-step explanation:
1. height of snow = h cm
time = t hrs
To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,
y = h,
x = t
m = slope
b = y-intercept
Find slope (m) using points (6, 0) and (0, 18):
[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]
m = -3
The y-intercept is where the line intercepts the y-axis = 18
Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.
Thus, the linear function would be:
[tex] h = -3t + 18 [/tex]
2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.
Rewrite 14/32 in simplest form.
Answers
Answer:
7/16
Step-by-step explanation:
Answer:
14/32 = 7/16
Step-by-step explanation:
You divide each number by two
The sum of the 112th term of the geometric series is 256 and the common ratio is 3/4. Find the first term of the first geometric series.
Answers
Answer:
First term = 64
Step-by-step explanation:
We are given the formula for the nth term of a geometric series to be;
S_n = (a1(1 - rⁿ))/(1 - r)
Where:
S_n is the sum of n terms
A1 is first term
r is common ratio
We are given;
S_112 = 256
r = ¾
Thus;
256 = a1(1 - ¾^(112))/(1 - ¾)
256 = a1(4)
a1 = 256/4
a1 = 64
Billy and Joe go to McDonalds for lunch. They order 2 burgers, 3 fries, and 2 sodas. The mom
bugers cost $3.50 each. The sodas cost $1.00 each. If the total was $16.29 how much was
each fry. Write and solve an equation to represent this situation. Round your answer to
the nearest tenth
Answers
Answer:
2.43 and rounded it is 2 dollars
Step-by-step explanation:
2 burger-$7.00
3 Fries-
2 Sodas- $2.00
7+2=9
$16.29-9.00=7.29
$7.29/3=2.43
Classify the equation 5 (2x + 3) = 3(3x + 12) as having one solution, no solution, or infinitely many solutions.
Answers
Answer: one solution I believe
Step-by-step explanation: I got 21 as my answer and that is one solution
-6p + 4p > 12
( please look at picture instead )
Answers
Answer:
the asnwer is p is less than or equal to -6.
Step-by-step explanation:
The reasonfro that is becuase when u have a negative variable you have to divide both sides by a negative, which will flip the symbol making it less than in this case rather than greater than. Hope this works mark as brainliest pls
that what i got but check the sign well
what do expressions (3^3) and (3^4) have in common?
Answers
Answer:
they are both 3 with different powers
Step-by-step explanation:
Can someone please help me it's slope
Answers
Answer:
-0.04
Step-by-step explanation:
Farmers market Sells grapefruit strawberries and avocado they each have a different cost and are price per box Alyssa Buys two boxes of strawberries and three boxes of avocados and spent $23 London by three boxes of grapefruit and four boxes of strawberries in Spain $19 Tina by seven boxes of grapefruit and five boxes of avocados in Spencer $51 find the missing quantity below
Answers
Answer:
The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5
The cost of avocados per box is $6
Step-by-step explanation:
Let us represent the price of Grapefruits per box = g
Strawberries per box = s
Avocados per box = a
Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23
2s + 3a = 23 ....... Equation 1
a = 23 - 2s
London buys three boxes of grapefruit and four boxes of strawberries in Spain $19
3g + 4s = 19 ....... Equation 2
Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51
7g + 5a = 51..... Equation 3
2s + 3a = 23 ....... Equation 1
3g + 4s = 19 ....... Equation 2
7g + 5a = 51..... Equation 3
Substituting 3a = 23 - 2s in Equation 3
a = 23 - 2s/3
7g + 5(23 - 2s/3) = 51
7g +( 115 - 10s/3) = 51
Multiply through by 3
7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3
21g + 115 - 10s = 153
21g -10s = 38 ........ Equation 4
Combining Equation 2 and 4
3g + 4s = 19 ....... Equation 2 × 10
21g -10s = 38 ........ Equation 4 × 4
30 + 40s = 190.. Equation 5
84g - 40s = 152 .... Equation 6
We Add Equation 5 and Equation 6 to eliminate s
114g = 342
g = 342/114
g = $3
To find s, cost 0f straw berries
g = $3
3g + 4s = 19 ....... Equation 2
3(3) + 4s = 19
9 + 4s = 19
4s = 19 -9
4s = 10
s = 10/4
s = $2.5
For find a, the cost of avocados.
7g + 5a = 51..... Equation 3
g = $3
7(3) + 5a = 51
21 + 5a = 51
5a = 51 - 21
5a = 30
a = 30/5
a = $6
g =$ 3, s =$ 2.5 and a = $6.
Therefore:
The cost of grapefruits per box is $3.
The cost of strawberries per box is $2.5 and
The cost of avocados per box is $6
Raul can ride his unicycle 2.5 miles in 30 minutes. If he maintains the constant speed, what number of total miles can he travel in 90 minutes.
Answers
Answer:
Raul would ride 18 miles.
Step-by-step explanation:
60/10 =6
3x6=18
Answer:
18 miles is your answer
In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD?
Answers
Answer:
C
Step-by-step explanation:
Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]
Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]
Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]
Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]
Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]
Solve: 106x = 2736
Finally: x ≈ 25.8 ≈ 26
Therefore: C
Solve for y
3(7y + 4) = 15y + 6y +4+8
Answers
Answer: the are no values of y that make it true
Step-by-step explanation: no solution
Answer:
-4/7
Step-by-step explanation:
499 to the nearest hundred
Answers
Answer:
the correct answer would be 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
hope this helps
What is a ratio equivalent to 3:4 ? 3/4 2/3 4/3
Answers
3/4 is the answer for your question
Answer:
3/4
Step-by-step explanation:
the ratio is kinda like fractions
here are more:
3:5 - 3/5
4:9 - 4/9
Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2
Answers
So when they’re added, it becomes 5v^2.
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel than Theo's family
10 miles per hour
15 miles per hour
30 miles per hour
65 miles per hour
Answers
Graph is missing, so i have attached it.
Answer:
15 miles per hour
Step-by-step explanation:
We are given that d = 65t models the distance, d, that Malcolm's family travels after t hours.
Since we are comparing speed of both families, then we will find the speed here.
Formula for speed is;. Speed = distance/time
d = 65t and we know that d is distance and t is time. Thus, d/t = 65 m/hr = speed.
For Theo's family, looking at the image attached;
At a distance of 50 miles, time spent is 1 hr
At a distance of 100 miles, time spent is 2 hrs
At a distance of 150 miles, time spent is 3 hrs
At a distance of 200 miles, time spent is 4 hrs
Thus, speed = 200/4 or 150/3 or 100/2 or 50/1.
They all give a constant value of 50 m/hr.
Thus, speed of Theo's family = 50 mi/hr
Comparing this to that of Malcolm's family,we can see that Malcolm's family were faster by 65 - 50 = 15 mi/hr
Answer:
15
Step-by-step explanation:
Carmine and Hiram are solving the following word problem.
Gina is training for a marathon. She ran 6.75 miles on Saturday. On Sunday, she ran 7.20 miles. How far did she run on Saturday and Sunday combined?
Carmine sets up his problem as 6.75 + 7.20
Hiram sets up his problem as 7.20 + 6.75
Who is correct? Carmine, Hiram, or both
Answers
Answer:
Both is the anwser.
Step-by-step explanation:
Look it this way its simple 7.20 plus 6.75 equals 13.95
6.75 plus 7.20 is 13.95 theres no decimals changing in this problem meaning that both of them are correct.
James ran 25/100 of a mile yesterday. His friend, Natasha, ran 4/10 of a mile. Who ran farther and how do you know?
Answers
Answer:
James ran faster
Step-by-step explanation:
x + 8x + 15 help me out with this plz
Answers
Answer:
3(3x + 5)
Step-by-step explanation:
x + 8x + 15 Combine liked terms
9x + 15
GCF: 3
3(3x +5) Factor
A bag of garden soil weighs 44 pounds and holds 5cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.
Answers
Answer:
Weight of 15 bags in Kg: 299.4 Kg
Volume of 15 bags in cubic yards: 1.11 cubic yards
Step-by-step explanation:
Weight of 15 bags is calculated as follows:
Let's convert 44 pounds to Kg.
1 pound-------0,453592 Kg
44pounds------x
To find the weight of 15 bags we have to multiply the weight of one bag by 15:
Weight of 15 bags=19.95*15=299.4 Kg
Volume of 15 bags is calculated as follows:
First we need to convert one bag volume that is given in cubit feet to cubic yards:
1 cubic feet---------------0.03704 cubic yard
2 cubic feet----------------x
To find the volume of 15 bags we have to multiply the volume of one bag by 15:
Volume of 15 bags=0.07407cubic yard*15= 1.11 cubic yards
Step-by-step explanation:
whatis the reciprocal of the number. 7/8
Answers
Answer:
8/7
Step-by-step explanation:
reciprocal is just the same number flipped
Answer:
8/7
Step-by-step explanation:
The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1
Help please and thank you
Answers
Answer:
1. 22
2. 8
3. 31
4. 20
5. 38
6. 22
7. 26
8. 16
9. 14
10. 28
Step-by-step explanation:
USE PEMDAS
P: Parantheses
E: exponents
D: division
A: addition
S: subtraction
and ywww
whats the rate if 13 inches of snow in 7 hours
Answers
Answer:
1.86 (rounded to nearest hundredth) inches of snow in 1 hour
Step-by-step explanation:
Divide 13 inches of snow by 7 hours
The answer is 1.8571428571428571428571428571429
Round to the nearest hundredth
1.86
Hope this helped :)
[tex]\textsf{Hey there!}[/tex]
[tex]\textsf{What's the rate of 13 inches of snow in 7 hours?}[/tex]
[tex]\mathsf{\dfrac{13\leftarrow \bf{inches}}{7\leftarrow{hours}}} \\\\\mathsf{\dfrac{13\div7\leftarrow inches}{7\div7\leftarrow hours}}\\\\\mathsf{7\div7=1}\\\\\mathsf{\dfrac{13\div7\leftarrow\underline{ inches}}{1\leftarrow \underline{hour(s)}}}\\\\\mathsf{13\div7=1.857143}\\\\\mathsf{\dfrac{1.857143\leftarrow \frak{inches}}{1\leftarrow\frak{hour(s)}}}}}}\\\\\mathsf{1.85714\div1=\bf{ANSWER}}\\\\\textsf{Solve above and you have your answer.}[/tex]
[tex]\lhuge\text{Note: We're rounding our answer because the actual answer will take some time}[/tex]
[tex]\boxed{\boxed{\textsf{Thus, your answer is: \boxed{\boxed{\large\textsf{\bf1.86 inches per hour}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst}[/tex]