Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.

1. Which surface is shared by the two solids? What are the dimensions of this surface?

2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.

3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:

twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square

4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.

Oh and here's an image to help you out

Molly Is Painting A Model House And Needs To Know How Much Paint She Will Need. She Knows The Surface

Answers

Answer 1

Answer:

1. a square which is 6 × 6in

2. the inside of the prism or cube as it is not seen from the outside

3. the area of the square - 6 × 6 = 36in

4. 6 x 6 = 36 / one face of prism

× 5 = 180

4 × 6/2 = 12 / one face of pyramid

x 5 = 60

60 + 180 = 240


Related Questions

Zoe has a circular shaped rug on her bedroom floor. The diameter of the rug is 8 feet. What is the circumference of the rug?
6.28 feet

12.56 feet

25.12 feet

50.24 feet

Answers

Answer:

25.12

Step-by-step explanation:

circumference is 2 x π x r or π x d

so 8 x π would give you 25.12

Answer:

C.

Step-by-step explanation:

The formula for the circumference is:

C = [tex]\pi[/tex]d

C = (3.14)(8)

C = 25.12

The circumference of the circular shaped rug would 25.12 feet.

hope this helps :)

13. Classify Each Angle Pair then find the value of X

Answers

Answer:

5

Step-by-step explanation:

As corresponding lines are equal

16x+1 = 79

16x = 80

x = 5

What is the volume of this object?
u3

Answers

Volume is Length x Width x Height for a rectangular prism. Multiply those values (ignore the u in the calculation since it is only units… we’ll add it back at the end)

2 x 2 1/2 x 5
((2 x 2) + (2 x 1/2)) x 5
(4 + 1) x 5
5 x 5
25

25u^3

formula: Area of a parallelogram = base X height
I'm kind of confused.

Answers

I think in (a) it will be 12*7 = 84 cm^2
In (b) it will be 42:6= 7 so 7*6=42 cm
In (c) it will be 42,9:7,8= 5,5 so 7,8*55 = 42,9

Please help. True or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Circumference of a circle: [tex]2\pi r[/tex]Diameter of a circle: 2 in.Radius of a circle: d/2 (2/2 = 1 in.)[tex]\pi =3.14[/tex]

Circumference of a circle: [tex]2\pi r[/tex]

[tex]2\pi r\\2*\pi*1\\2\pi\\2(3.14)\\6.28\ in.[/tex]

Therefore, the statement is true. The circumference of the circle is 6.28 inches.

Hope this helps!

Which of the following are solutions to the inequality below? Select all that apply.​

Answers

Answer:

All the answer choices are the solutions to the inequality.

Step-by-step explanation:

[tex]\frac{p}{6}[/tex] is equivalent to [tex]\frac{1}{6}p[/tex]

[tex]\frac{1}{6}p-1 < -2\\\\. \ \ \ +1 \ \ \ +1\\\\\frac{1}{6}p < -1\\\\6(\frac{1}{6}p < -1)\\\\1p < -6\\\\/1 \ \ \ \ \ /1\\\\y < -6[/tex]

With our solution, we know that p is any number that is less that -6.

-42 < -6

correct

-66 < -6

correct

-90 < -6

correct

-134 < -6

correct

Therefore, all the answer choices are the solutions to the inequality.

Hope this helps!

please help will mark brainliest if right

Answers

Answer:

6 = W + 2

Explanation:

The reason is since the hangar balance is "balanced" and there are six units on the left side and only 2 on the right (minus the variable weight), that means that the left weight is equal to the right and therefore 6u=w+2u.

6=w+2
i think that’s right

Hello! I really need help for numbers 14-16. Please help me.

Answers

Answer:

14:  T=(0.75,-1) U=(0.75,1.25) V=(-0.75,1.25)

15: W=(-0.75,-1)

16: The error is that if something lies on the X Axis, it has a Y Value of 0.

T: (0.75, -1.0), U: (0.75, 1.25), V: (-0.75, 1.25)

W: (-0.75, 1.0)

16: Since the axis is 0 you put it on the y axis, because there is no way to plot x other than to the origin, so it would therefore be planted on the y axis.

The recipe for one batch of chocolate chip cookies calls for 1 1/3 cups
of chocolate chips. Luca made 3½ batches of cookies. How many cups of
chocolate chips did he use?

Answers

Answer:

4 and .7 aproximately cups of chocolate chips

Step-by-step explanation:

If 1 batch requires 1 1/3cups, mutliply that by 3, to get 4. Then we can roughly estimate that half of 1 and 1/3 is .7 cups.

4. The water level of a river in the town of Carson decreased by 4 1/4 feet over a 3-month period. Which of these describes the average monthly change in the water level of the river?

Answers

Answer:

1 5/12

Step-by-step explanation:

use the keep change flip method (KCF)

A.

Remember process of elimination. Two of the problems can be eliminated immediately because they are talking about increase.

Consider two circular swimming pools. Pool A has a radius of 28 feet, and Pool B has a diameter of 17.26
meters. Complete the description for which pool has a greater circumference. Round to the nearest
hundredth for each circumference. 1 foot-0.305 meters

Answers

Answer:  pool b

Step-by-step explanation:

the bigger the number then it the nearest to the tens and it smaller its easy i use common sense

The variables x and y have a proportional relationship, and y=7 when x=2.

Which equation represents this relationship?


y=9x

y=27x

y=72x

y=14x

Answers

y= 14x because it is a (i don’t know the word) like a multiplicative (maybe that’s what it’s called) of 2

ASAP What percentage of total expenses is spent on housing? (round to nearest whole percent)

Answers

23.69% or rounded to 24%

ONLY answer if you know what the answer is. If you are not sure DONT FREAKING ANSWER.

Answers

Answer:

-7, -3, -1, 2, 5

Step-by-step explanation:

-7 is the farthest away from zero so that is why it's first then it's -3 bc of the same thing and -1. Then for 2&5 u literally should know that 2<5.

What is the volume of a sphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

3262.9 cm^3

Step-by-step explanation:

Formula =

[tex] \frac{4}{3} \times \pi r ^{3} [/tex]

Pi = 3.145

So,

[tex] \frac{4}{3} \times 3.145 \times 9.2 ^{3} \\ = 3262.183595 \\ = 3262.9 cm^{3} [/tex]

Here you go

need helppp i dont know this

Answers

5^2= 25
3^-2=1/9
(1/3)^-2= 9
2^4=16
4^2=16
4^-3=1/64

2. Find Each Angle Measure

Answers

Answer:

m∠1= 31°  m∠2=149°

m∠3= 31° m∠4=149°

m∠6=31° m∠7=149°

m∠8=31°

Step-by-step explanation:

m∠1 + m∠5= 180°

m∠1=180-149

m∠1=31°

m∠2+m∠1=180

m∠2=149°

m∠6=31°

m∠3=m∠1 (corresponding angle)

m∠3=31° m∠8=31° (vertical angle)

m∠4=149° m∠7=149° (vertical angle)

An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square feet and a height of 1/3 foot. How much packing material is required to fill the box?
A. 3/10 [tex]ft^{3}[/tex]
B. 1/10[tex]ft^{3}[/tex]
C. 1/3[tex]ft^{3}[/tex]
D. 2/3[tex]ft^{3}[/tex]

Answers

We need volume

Area of base=9/10ft^2Height=1/3ft

So

Volume=Area of base×Height

volume:-

[tex]\\ \rm\rightarrowtail \dfrac{9}{10}\times \dfrac{1}{3}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{3}{10}ft^3[/tex]

4,10,11,13,14,15,25,29,33,33,35,43,51,58,64
Find the median
Find the lower quartile
Find the upper quartile

Answers

Answer:

First Quartile Q1 = 13

Second Quartile Q2 = 29

Third Quartile Q3 = 43

Interquartile Range IQR = 30

Median = Q2 x˜ = 29

Minimum Min = 4

Maximum Max = 64

Range R = 60

Answer:

Median (Q2): 29

Lower quartile (Q1) = 13

Upper quartile (Q3): 43

Step-by-step explanation:

There are a total of 15 numbers in the data set:

4, 10, 11, 13, 14, 15, 25, 29, 33, 33, 35, 43, 51, 58, 64

Minimum (Q0): 4

Lower quartile (Q1) = 13

Median (Q2): 29

Upper quartile (Q3): 43

Maximum (Q4): 64

Hope this helps!

Please Help!!!

How many solutions does this system have?
x + 2y - 3z = 4
2x – 4y + 62 = - 8
3x + 6y - 9z = 12

a. There are three solutions.
b. There is one solution.
c. There are an infinite number of solutions.
d. There is no solution.​

Answers

Answer:

The answer is d.

There is no solution. So D

An experiment involves flipping a coin three times.
The following tree diagram shows the possible outcomes for the experiment.

What is the probability of getting exactly 2 tails?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

or 2/3

Step-by-step explanation:

because two flips out of 3 all together is 2/3

Flipping a coin to get H or T is a 50% (0.5) chance respectively
So to get 2 tails we could have gotten:
H T T
T T H
T H T
— P( H T T) = 0.5 x 0.5 x 0.5 = 0.125
— P(T T H) = 0.5 x 0.5 x 0.5 = 0.125
— P(T H T) = 0.5 x 0.5 x 0.5 = 0.125
0.125 + 0.125 + 0.125 = 0.375 = 3/8

Please answer the question of angles! Would you want to be my friend? I love animals because they are cute! I wear glasses! I love to watch Steven Universe, My little pony, and Teen Titans Go!

Answers

Answer:

These would be complementary angles.

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

pleaseeeeeeeeeeee helpppppppp

Explain what method you would use to solve the following system:

3x + 4y – 5z = -3

-5x -2y + 6z = 5

4x – 8y + 3z = -10




thanks

Answers

simultaneous equation

A statistician takes several random surveys, each of 50
middle school students, to determine the favorite pizza topping of middle school students. The table shows the mean results from all the surveys.

extra cheese 13
pepperoni 17
pineapple 8
sausage 5
vegetables 7

Which statement is a valid inference that can be made based on the data collected?

1) On average, about 50% of students prefer either extra cheese or pepperoni.

2) On average, about 10% of students prefer sausage.

3)On average, 1/3 of students prefer either pepperoni or pineapple.

4)On average, 1/4 of students prefer either pineapple or vegetables.

Answers

Answer:

fROM what I am looking at it is four

Step-by-step explanation:

Question belowwwwwww............................

Answers

Answer:

I think it's 4 ft.

Step-by-step explanation:

Answer:

i think it c

Step-by-step explanation:

HELP ASAP! I NEED 5b ONLY!!!

Answers

Answer:

You want to find the treasure shown on the map. To get to the treasure, start at 1% and move to 100%. The only way you can move on the map is if a number is greater than the number you are currently on.

Step-by-step explanation:

answer : the piece near the middle can be located on 30 spots at the end of 2 turns, so 30/32
0.9375%
explanation : the piece can move anywhere depending on where it moves the first turn. the only place it can’t go is on the places where other pieces are currently on.

[ this is what i think ]

Find the missing angle measure.


Will give brainliest if possible!!

Answers

Answer: 35°

Step-by-step explanation:

Step #1: Write the 'triangle sum theorem' for the triangle which is:

m∠A + m∠B + m∠C  =  180°

Step #2: Substitute the given angle measures

40° + 105° + m∠C = 180°

Step #3: Simplify.

m∠C + 145°  =  180°

Subtract 145° from both sides.

m∠C  =  35°

So, the measure of the missing angle (x) is 35°.

Okay here is your answer

The mean of a set of data is 45 years. Find the missing numbers in the data set {40,45,48,?,54,?,45}. Explain the method or strategy you used.

please help me!!!​

Answers

Answer:

42 and 41

Step-by-step explanation:

So how I did it tbh I went everywere with this but I went backwards because the how you find the mean of something is adding all the values and then dividing them by the number of values(40+41+42+45+45+48+54=315, 315divided by 7=45) but anyway 45x7(because multiplication is the opposite of division)that equals 315-232 which is the answer to 40+45+48+54+45 which were the numbers that were given

Please help!!! I will give brainliest. Just please try your best.

Answers

Answer:

A: 7:10:13:6:14 B: 14:7:10:6:13

Step-by-step explanation:

These are the answers I got. Hope it helps

If this was helpful please give a thank you and a brainliest!

Part A:
To work out the experimental probability for each colour = frequency of the colour/ total frequency (50)
Green: 14/50
Blue: 7/50
Red: 10/50
Yellow: 6/50
Purple: 13/50
Part B:
If you spin the spinner more times, the experimental probability for each colour will get closer to the theoretical probability :)))

Please help!!! I will give brainliest. Just please try your best.

Jackson has a cube. Each edge of the cube is 5 centimeters long, as shown below.
Part A
Jackson paints every face of the cube. What is the total surface area, in square centimeters, of the cube
Jackson paints? Be sure to show your work and explain your reasoning.
Part B
After the paint dries, Jackson cuts the cube in half. He makes the cut along the diagonal of one pair of
parallel faces. Rounded to the nearest thousandth, the diagonal has a length of 7.071 centimeters. Once
the cut is made, Jackson has two identical triangular prisms.
What is the combined area, in square centimeters, of the surfaces of the two prisms that were not painted?
Part C
Jackson has a second cube identical to the first. He cuts off the triangular prism as shown below and throws
it away.
What is the volume, in cubic centimeters, of the remaining solid? Show or explain all your work.

Answers

Answer:

Part A-      Surface area = 150cm squared

Step-by-step explanation:

First you find the area of one side of the cube-

side length (5) x side length (5) = area (25)

25 is the area of one side of the cube.

Then you multiple the area of one side (25) by the amount of sides that there are (6)-

25 x 6 = 150

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