Victor is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a red fabric.

How much fabric does Victor need in order to cover 12 of these blocks?


156 cm²

24 cm²

13 cm²

2 cm²

Victor Is Working On A Project And Has Cut A Number Of Wooden Blocks Of Equal Size That Are Represented

Answers

Answer 1

Answer:

  (a)  156 cm²

Step-by-step explanation:

The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...

  A = 2(LW +H(L +W))

  A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²

The area of 12 such prisms will be ...

  12 × (13 cm²) = 156 cm²

Victor needs 156 cm² of fabric to cover 12 blocks.

_____

Additional comment

This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².

Answer 2

Answer:

156 cm² for K12


Related Questions

A pizza box is 20 inches wide, 18 inches long, and 2 inches tall.
How many square inches of cardboard were used to create the box?

Answers

Answer:

872 square in.

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

[tex]A=2(wl*wh*lh)[/tex]

Where w is the width of the prism, l s the length of the prism, h is the height of the prism, and A is the surface area.

Plugging in the numbers given, you get the following equation:

[tex]A=2((20*18)*(20*2)*(18*2))[/tex]

Which when calculated out, is 872 square in.

What is the value of the expression 3+(8-4)x2-4

Answers

Answer:

7

Step-by-step explanation:

First, do what's inside the parentheses.

Second, do the multiplication

Third, add.

Lastly, subtract

3+(8-4)x2-4

3+4x2-4

3+8-4

11-4

7

Regan measured a neighborhood park and made a scale drawing. the scale she used was 7 inches = 5 yards. what is the scale factor of the drawing?

Answers

Answer:

fgy8errrbtthy333eeeee[tex]x^{2} 33\pi \sqrt[n]{x} \int\limits^a_b {x} \, dx[/tex]r4g344myngívr3vh57744kpuiv2224gpo48

Step-by-step explanation:

uyrooou

7. Find the volume of a rectangular prism if the height is 14 inches and the area of the base is 30 square inches. Type your answer without units.

Answers

Answer:

420

Step-by-step explanation:

V = whl is the volume of a rectangular prism. w*h is the area, so V is area times height.

This gives us: V = 30 * 14 = 420.

Please help me ASAP

Answers

Answer:

12 -9

Step-by-step explanation:

Look to the ends of each arrow and you will see each number the arrow is on. Hope this helps.

Answer:

[tex]y=-x+3[/tex]

Step-by-step explanation:

Let's start by defining what slope-intercept form is. Slope-intercept form is:

y=mx+b

Where...

"y" = y-coordinate of any point on the line

"m" = slope of the line

"x" = x-coordinate of any point on the line

"b" = y-intercept (where the line intercepts the y-axis)

Let's start by finding the y-intercept. As stated above, the y-intercept is where the line intercepts the y-axis. Looking at the graph, we can tell that in this case, it is (0, 3).

Note that the y-intercept (b) is represented by ONLY the y-value, which in this case is 3.

Now, let's find the slope. Start by taking ANY two points on the line. Let's use (0, 3) and (1, 2).

The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_1, y_2:$ Values for the two y-coordinates\\x_1, x_2:$ Values for the two x-coordinates[/tex]

Substitute the given points into the equation:

[tex]m=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]

The slope is -1.

Finally, we substitute our slope and y-intercept back into the equation and get:

[tex]y=-x+3[/tex]

simplify the following expression 4√72

Answers

Answer:

Hope this helps it is in the file below.

Answer quick and show work!

Aj and his two friends went out to dinner and the meal's total was $100. They decided to give the server a 20% tip. How much money will the total bill be?

Answers

Answer:

$120

Step-by-step explanation:

Write an equation in slope-intercept form for the line that passes through (6,6) and is
perpendicular to the line described

Answers

Answer:

Step-by-step explanation:

Solution :

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 2/3 x -2

So : product for two slopes = -1   means : m×2/3=-1

m = -3/2

now : y = -3/2 x+b

but this line :

through the point (6,6) : 6 =(-3/2)(6)+b....... b=15

conclusion :

the equation is : y = -3/2x +15

The graphs of the functions (f) and (g) are shown where..
[tex]f(x) = 4.5 \sqrt{x} [/tex]
[tex]g(x) = \frac{1}{9} {x}^{2} [/tex]


Select the TWO closest approximations for solutions to the equations f(x) - g(x) = 0
A.x=0
B.x=5.0
C.x=11.7
D.x=13.5
E.x=20.0

Answers

Answer:

[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]

\orange{ \rule{100pt}{999999pt}} < /p > < p > [tex]at < /p > < p >  at</p><p>[tex]at</p><p>

Step-by-step explanation:

f(x) - g(x) = 0

f(x) = g(x)

4.5√x = ⅑ x²

4.5 × 9 = x√x

40.5 = x√x

square it on both side

1640.25= x².x

1640.25 =x³

x=11.7

I need help will give 20 points

Answers

Answer:

x=136 degrees

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.

I hope this solution was helpful. Happy mathing!

From her window 5 m above the ground, Sherri spots a turtle on the ground at a 34° angle of depression.

To the nearest tenth of a meter, how far is the turtle from the base of the Sherri’s building?


7.4 m


4.8 m


4.1 m


3.4 m

Answers

Answer:

7.4 m it's because toes are yummy

Name any two timber plans found in the Terai region of Nepal? Where is Red panda found? Why is it called an endangered bird?​

Answers

Step-by-step explanation:

red Panda is found in langtang national park and makalu-barun national park in Nepal .

timber planks for in the religion of Nepal sal, sissoo& Khair.

I'm injured birds are any bird fishing that is at risk of extinction because of a sudden rapid increase in population or a loss of its critical habitat .

The size of the rat population of a wharf area grows at a rate of 5% monthly. If there are
200 rats in June, find how many rats should be expected by next June.

Answers

Answer:

200+10×12=320

Step-by-step explanation:

During a phone call about the system of equations {5x + 2y = 8 , 8x + 4y = 8}, Dylan told Max, “It’s easy, just set them equal to each other.” But Max replied, “That doesn’t help — I get −2y = 3x. What good is that?” Help these two students solve the problem.

Answers

Answer:

x = 4

y = -6

Step-by-step explanation:

5x + 2y = 8

8x + 4y = 8

-2(5x + 2y) = -2(8)

8x + 4y = 8

-10x -4y = -16

8x + 4y = 8

-10x -4y + 8x + 4y = -16 + 8

-2x = -8

x = 4

plug 4 into x so y = -6

When you multiply the grouping by the exponent, what is the answer?
5+4 - (8 x 3 – 22)* x 4

Answers

Answer:

1

Step-by-step explanation:

5 + 4 - (8 x 3 – 22)* x 4

5 + 4 - (24 - 22) x 4

5 + 4 - 2 x 4

5 + 4 - 8

1

Answer:

16

Step-by-step explanation:

5+4- (8x3-22) ↑4 x4

         16

5+4 - (24-22) ↑4 x4

5+4- (2) ↑4 x4

2x2x2x2=16

hope that helps:)

What is the least common multiple? 46 and 12?​

Answers

Answer:

2

Step-by-step explanation:

multiples of 12: 1, 2, 3, 4, 6, 12 (we don't use 1 in LCM)

Start with 2: 46/2 = 23, so the least common multiple is 2

what is 5x15= what help me please to hard

Answers

Answer:

75

Step-by-step explanation:

If you were writing a two-column proof proving that ANQP APON, which of the following statements would have
"reflexive property of congruence" as its reason?
A. ON ON
B. OP=OP
C. OP=OP
D. NP NP

Answers

Answer:

NP NP

Step-by-step explanation:

this is the only solution that works for the question

The answer is D: NP NP

A long solenoid with radius r = 7 cm and n = 3,170 turns/m carries a current i = 6. 7 a. What is the magnitude of the magnetic field in the central area inside the solenoid, in t?

Answers

The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

Magnetic field inside solenoid

The magnetic field inside the central area of the solenoid is given by B = μ₀ni where

μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A, n = number of turns per unit length = 3,170 turns/m and i = current in solenoid = 6.7 A

Since B = μ₀ni

Substituting the values of the variables into the equation, we have

B = μ₀ni

B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A

B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m

B = 84956π × 10⁻⁷ T

B = 266897.15 × 10⁻⁷ T

B = 0.026689715 T

B ≅ 0.0267 T

So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

Learn more about magnetic field inside a solenoid here:

https://brainly.com/question/25562052

The magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T

What is the measurement of the magnetic field inside a long solenoid?

Magnetic field = permeability constant x relative permeability x turn density x current

B = [tex]k\mu_0nI = \mu nI[/tex]

where turn density is calculated as:

n = N/L

Where N represents the number of turns of the wire and

L represents the length of the solenoid.

Assuming that the solenoid is placed in vaccum, we have:

[tex]\mu = k\mu_0 = \mu_0 = 4\pi \times 10^{-7} \: \rm T m/A[/tex]

And it is given that:

n = 3174 turns/mI = 6.7 amperes

Thus, we get:

[tex]B = \mu n I = 4\pi \times 10^{-7} \times 3170 \times 6.7 \approx 2.67 \times 10^5 \times 10^{-7} \\\\B = 2.67 \times 10^{5 + (-7)}B = 2.67 \times 10^{-2} \: \tm T[/tex]

Thus, the magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T

Learn more about magnetic fields here:

https://brainly.com/question/17196881

#SPJ4

Jimmy just left the movies. The
movie ended at 4:47 p.m. The
movie was two hours long.
What time did the movie start?
?

Answers

2:47 is when it started
It started at 2:47 because 4:47 minus two hours, equals 2:47. Hope this helps.

what is the solution of the system of equations 4x+2y=-1 and 3x+4y=3

Answers

Answer:

7x+6y=2

Step-by-step explanation:

All you have to do is add both of the equations together.

cual es el máximo común divisor de 72, 90 y 36?

Answers

Answer:

6

Step-by-step explanation:

6 x 6 = 36

6 x 12 = 72

6 x 15 = 90

Subway creates a paid promotion featuring a different 6-inch sub of the day each day of the week. The sub of the day is only $3. 50. Subway utilizes the radio to spread the word. Which promotion method is subway using?.

Answers

Based on the information provided, the promotion method subway is using is sales promotion.

What is promotion?

It is a marketing tool that involves letting know potential customers about a product that a company wants to sell.

What are the promotion methods?

Most common methods include:

Direct selling.Public relations.Sales promotion.

What is sales promotion?

This involves promoting or advertising products through sales, which means customers are offered special discounts or lower prices. This is the method used by the subway because the sub of the day is a sales.

Learn more about sales in: https://brainly.com/question/15375944

Felix’s Feed Mill sells chicken feed for $8. 00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans. Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0. Plan B: Raise the price by 10 percent each week until the price reaches $12. 0. Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12. 0. Plan D: Raise the price by $0. 25 each week until the price reaches $12. 0. Which plan will result in the price of the feed reaching $12. 00 fastest? plan A plan B plan C plan D.

Answers

The plan will result in the price of the feed reaching $12.00 fastest is Plan B because it reaches within 5 weeks.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Felix’s Feed Mill sells chicken feed for $8. 00 per bag.

This price is no longer high enough to create a profit.

Felix decides to raise the price. He is considering four different plans.

The plan will result in the price of the feed reaching $12.00 fastest will be

Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0.

⇒ $0.10 × 20 = $2

This plan will take 20 weeks to reach at a price of $12.

Plan B: Raise the price by 10 percent each week until the price reaches $12.0. The price of this plan will be in t weeks is

[tex]12 = 8 *1.1^t\\\\t = 4.25 \approx 5[/tex]

This plan will take less than 5 weeks.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.0. The amount will be

Amount = 2/8 = $0.25

Plan D: Raise the price by $0.25 each week until the price reaches $12. 0.

⇒ 0.25 × 8 = $2

This will take 8 weeks.

More about the decision-making link is given below.

https://brainly.com/question/3369578

¿Cuántos enteros divisibles por 9 hay entre 95 y 450?

Answers

Answer:

s so you're going to divide when you going to divide 95 why you take it to the other side it will become 95 * 450 equals to 42750 / 9 when we divide 42750 / 9 to give you 4750 that is your answe

1. Find the length of the arc shown in red:
2. Find the area of the circle:

Answers

Answer:

Step-by-step explanation:

what do you call the statements that are assumed to be true and do not need proof?​

Answers

Answer:

A postulate :)

Step-by-step explanation:

This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.

Hope this helps!

Reflect the point (3,0) across the x axis.

Reflect the point (3,0) across the y axis.

Answers

Answer:

(3,0) reflection on x axis (3,0)

(3,0) reflection on y axis (-3,0)

Find the rule to complete the pyramid.

Answers

i think this should work good luck

2a=11.4 a= b-5=7.2 b= 3.4+c =10 c= 5.7divided by d= 1.9 d=

Answers

Hey there!


2a = 11.4

DIVIDE 2 to BOTH SIDES

2a/2 = 11.4/2

CANCEL out: 2/2 because it give you 1

KEEP: 11.4/2 because it give you the value of a-value


NEW EQUATION: a = 11.4/2


SIMPLIFY IT!

a = 5.7



Therefore, your answer is: a = 5.7


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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