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
Answers
Answer:
1. Base of pyramid; 6 in by 6 in
2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.
3. twice the area of the square
4. Area = 228 inches squared
Step-by-step explanation:
For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.
Step 1. Add all surface areas togetherPrism: 6 surfaces
Surface area = 216 inches sq
Front = 6 x 6 = 36 Back = 6 x 6 = 36Top = 6 x 6 = 36Bottom (base) = 6 x 6 = 36Side = 6 x 6 = 36Other side = 6 x 6 = 36Pyramid: 5 surfaces
Surface area = 84 inches sq
Bottom (base) = 6 x 6 = 36Front triangle = (6 x 4)/2 = 12Back = (6 x 4)/2 = 12Side = (6 x 4)/2 = 12 Other side = (6 x 4)/2 = 12TOTAL surface area: 216 inches + 84 inches = 300 inches sq
Step 2. Subtract surfaces that are NOT being painted300 - base of pyramid - base of prism
300 - 2(36)
300 - 72
228 inches sq
Hope this helps!
Related Questions
YOU GET BRAINLIEST IF YOU GET THIS RIGHT. ROUND TO THE NEAREST TENTHS PLEASE.
Answers
Answer:
26.4
Step-by-step explanation:
they are both corresponding so:
17÷56=8÷x
x=26.4
Answer:
it might be 27 if not 47 im
not completely sure
Step-by-step explanation:
Question below............
Answers
Answer:
I think it c
im sorry if im wrong
Answer:
B. 150 ft
Step-by-step explanation:
Perimeter of a rectangle = 2(Length) + 2(Width)
Here, we are given the perimeter and width and we want to find the length
We can do so by plugging in what we are given into the perimeter formula and solving for length.
Perimeter = 2(Length) + 2(Width)
Perimeter = 450 and Width = 75
450 = 2(Length) + 2(75)
We now solve for length
==> simplify multiplication 2(75) = 150
450 = 2(Length) + 150
==> subtract 150 from both sides
300 = 2(Length)
==> divide both sides by 2
150 = Length
And we are done!
The answer is B 150ft
Consider the information about the number of customers that select various frame colors at a frame store one day. 15 customers select white frames.30 customers select black frames.45 customers select gold frames.If there are a total of 2,200 customers that order from the frame store one month, what is the best approximation for how many customers that month select a black frame?
Answers
Answer:
Exact: 733.33333333
Rounded: 730
Step-by-step explanation:
Hope this helps! :)
PLEASE HELP ME
A cookie jar contains three types of cookies: oatmeal, chocolate chip, and sugar. 6. Half of the remaining cookies are oatmeal. If there are 9 oatmeal cookies, how many cookies are in the jar?
Answers
Answer:
1.5
(9÷6)
u basically just divide that's all
You divid the two numbers
A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.
A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.
Each bag of soil covers 20 square yards. How many bags should the farmer purchase?
1 bag
2 bags
3 bags
4 bags+
Answers
Answer:
2 bags
Step-by-step explanation:
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
Anyone know of a calculator I can use for rigid motion?
Answers
Answer:
TEXAS INSTRUMENTS TI-
Please make this brianliest so others can learn from this answer
Happy to help :)
Step-by-step explanation:
Jorge bought 8 pounds of ground beef for $3.29 a pound. About how much did he pay altogether?
Answers
Answer:$24
Step-by-step explanation:
Answer:
$26.32
Step-by-step explanation:
If one pound costs 3.29, you have to multiply by the number of pounds (8)
8·3.29=26.32 or 3.29+3.29+3.29+3.29+3.29+3.29+3.29+3.29=26.32
If four students are playing a game and each student is equally likely to win the game, what is the probability that student 3 will win?
A.0
B.1/2
C.1/3
D.1/4
Answers
Answer:
D.
Step-by-step explanation:
Because since there are 4 people with an equal chance to win then you just put the number of people that you're trying to figure out over the total number.
Answer:
d
Step-by-step explanation:
we know there is 4 students so that means there's a 1/4 chance of him winning
Need help with homework
A school fundraiser has a minimum target of $600. Faculty donated $200 and there are 10 student clubs that are participating with different activities. Write an inequality showing the amount money each club should raise to meet the minimum target. Use f for the amount of money that each club raises.
Answers
So you add 600$+200$ then divide it by ten
Answe is:80$
9 is what percent of 90?
Answers
i hope this helps u!!
I think this will help you
Please Help me with these 2 questions!!
Answers
Answer:
3) Parabola
4) [tex]y = 5x^2 + 7[/tex] and [tex]y = \frac{10}{x} +20[/tex]
Answer:
Step-by-step explanation:
3. A parabola (view that attached graph)
4.
b. y = 5x² + 7
e. y = 10/x + 20
Hope this helps!
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!
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 measures40° + 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°.
A company has recently been hiring new employees. Today the company has 29% more employees than it did a year ago. If there are currently 38700 employees, how many employees did the company have a year ago?
Answers
Answer:
27477
Step-by-step explanation:
Subtract 38700 from 29% = 27477.
(GIVING BRAINLIEST TO FIRST CORRECT ANSWER!!)
find the volume.
Answers
Answer:
113.1 m^3
Step-by-step explanation:
Formula
volume = (4/3) * π * r³
1.33 * 3.14 * 3^3
100 points
Customers of a phone company can choose between two service plans for long-distance calls. The first plan has a $28 monthly fee and charges an additional $0.15 for each minute of calls. The second plan has a $15 monthly fee and charges an additional $0.20 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answers
Answer:
3x-x+2=4
Step-by-step explanation:
What is the approximate circumference of a circle with a diameter of 14 inches, rounded to the nearest inch? (Use 3.14 as an approximation of pi.)
Answers
Answer:
44 in.
Step-by-step explanation:
pi = 3.14 (in our case)
circumference = diameter x pi
circ. = 14 x 3.14, which equals to 43.96
round that and you get 44 in.
Cheryl moves houses. Her old house is 3 kilometers from her new house. How many meters is it from the old house to the new house? (4 points)
3 meters.
30 meters.
300 meters.
3,000 meters.
Answers
Answer:
3 kilometers x 1,000 meters/km= 3,000 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note that 1 km = 1000 m. Therefore, 3 km = 3,000 m
help please i guess?
Answers
Answer:
It is the left one.
Step-by-step explanation:
This (<) symbol shows us which number is bigger. In this case, 4.626 is larger than 4.606, so we put this "<"
Answer:
the middle one.
im just guessing
HELP pls I WILL GIVE brainliest
Answers
Answer:
6
Step-by-step explanation:
The cubic root of 216 is 6.
Answer:
72
Step-by-step explanation:
216 in cubic feet is 72
The data shows the number of products an assembly line creates each hour for 7 randomly selected hours.53,65,81,90,72,55,95
What is the range of the data set?
Answers
Answer:
The Answer is 42, in order to find the range of a data set you subtract the biggest number and the lowest number.
Step-by-step explanation:
In order to find the range of a data set you subtract the biggest number and the lowest number.
What value of y makes the equation 6(x-4)+2 = 36/4 true?
Answers
Answer:
31/6
Step-by-step explanation:
36/4=9
6x-22= 9
6x= 9+22
substitute 6x=31= 31/6
Answer:
x = 31/6
Step-by-step explanation:
first lets isolate the equation which equals, 6x-24+2 = 9
I got 9 from 36/4, divide top and bottom by 4 = 9
Next add the numbers, 6x -24+24= 9 turns into 6x-22= 9
Now move the -22 to the side the 9 is, 6x= 9+22
and now we can solve and substitute, 6x=31, which gives us 31/6
I hoped this helped, please mark brainiest!! <33
This figure represents a planter that is to be filled with soil.
How much soil will it take to fill the planter?
Enter your answer in the box.
in³
Answers
Answer:
Step-by-step explanation:
Givens
The horizontal flat box has dimensions of
h = 2
w = 7
l = 21
The vertical box has dimensions of
h = 10
w = 7
L = 12
Formula
V = L * w * h
Solution
Horizontal Flat Box = L*w * h
Horizontal Flat Box = 21 * 7 * 2
Horizontal Flat Box = 294
Vertical Box
Vertical Box = L * w * h
Vertical Box = 12*7 * 10
Vertical Box = 840
Total Volume = 1134
Answer: 1134
Answer:
1134 in³
Step-by-step explanation:
Volume of the figure
12 x 10 x 7 + 2 x 7 x 21840+ 2941134 in³Please help!!! it will mean alot :/
Answers
Answer:
Answwe is 44
Step-by-step explanation:
that the answer
Jonathan and Shaneeka both get paid an equal hourly wage of $12 per hour. This week, Jonathan earned an additional $54 as a bonus. To calculate the total earnings for both Jonathan and Shaneeka, 4 expressions are written in which J represents the number of hours Jonathan worked, and S represents the number of hours Shaneeka worked.
Which expression is not correct?
A. Expression 1
B. Expression 2
C. Expression 3
D. Expression 4
Answers
The fish tank is 80% full. After
adding stones to the bottom of the tank,
the tank is 92% full. What is the volume
of the stones?
Answers
Answer:
12%
Explanation
Because the fish tank is 80% and when the stone is put in the water the water is filled 92% so that means that the water rises 12%
15. Classify Each Angle Pair then find the value of X
Answers
Answer:
These are alternate exterior angles
x=14
Step-by-step explanation:
Alternate exterior angles are formed by two parallel and one transversal line.
I suggest you do some research on transversal angles. I think that would be really helpful in the near future :)
Alternate exterior angles are also equal
Knowing this, we now understand:
5x-9=3x+19
2x-9=19
2x=28
x=14
Hope this helps!
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:
the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter is 919.4 cubic meter.
During gym class, Lenny, Lonnie, and Lainey measure the length of their long jumps. Lenny’s jump is ⅔ times the length of Lainey’s, and Lonnie’s jump is 1⅓ times the length of Lainey’s. Whose jump is the longest? Why? pls help!!
Answers
Answer: Lonnie’s Jump
Step-by-step explanation:
(They just had to give three names that all started with L.)
Since Lenny's jump is ⅔ times the length of Lainey’s, we can tell that Lenny's jump won't be the longest because it is already smaller than Lainey's.
Since Lenny is now out of the picture, let us look at Lonnie and Lainey. Lonnie’s jump is 1 ⅓ times the length of Lainey’s. Since Lonnie's jump is longer than Laniey's, Lonnie's jump is the longest jump.