1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrew [12]
2 years ago
6

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 s

quare 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

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
5 0

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.

<h3>Step 1. Add all surface areas together</h3>

Prism: 6 surfaces

Surface area = 216 inches sq

  • Front = 6 x 6 = 36
  • Back = 6 x 6 = 36
  • Top = 6 x 6 = 36
  • Bottom (base) = 6 x 6 = 36
  • Side = 6 x 6 = 36
  • Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

  • Bottom (base) = 6 x 6 = 36
  • Front triangle = (6 x 4)/2 = 12
  • Back = (6 x 4)/2 = 12
  • Side = (6 x 4)/2 = 12
  • Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

<h3>Step 2. Subtract surfaces that are NOT being painted</h3>

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

<u>228 inches sq</u>

Hope this helps!

Download pdf
You might be interested in
Are these right before I go on I have a 100 in math #wannakeepit
Serjik [45]
They are all correct

4 0
3 years ago
What is the largest x where f(x) is discontinuous<br> show work
natulia [17]

Answer:

x = 3

Step-by-step explanation:

reverse foil the denominator and find the largest solution.

x-3(x+1)

3 is the largest solution

6 0
3 years ago
The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume
AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

H_0: \mu_m=\mu_w\\\\H_1:  \mu_m\neq\mu_w

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63

The test statistic is

t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11

The degrees of freedom are:

df=n_1+n_2-2=40+30-2=68

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.

We can conclude that male and female consumers differ in the amounts they spend.

5 0
4 years ago
Which expression is rational? 6.27316543222718… square root of 2 square root of 14. square root of 49
iogann1982 [59]
A rational number<span> is any </span>number that can be expressed as the quotient or fraction. It is also a number that does not repeat and/or go on forever (ex. pi or <span>3.1415926535</span><span>)

Soo, the rational number is 
the √49 

√49 = 7 7 is a rational number, also a whole number as well, how bout that.</span>
8 0
4 years ago
Read 2 more answers
Scientists determined that Antarctica’s average winter temperature was −34.44°C. The difference between this temperature and Ant
noname [10]

Answer:

the answer is c -8388°C

7 0
4 years ago
Other questions:
  • Why does the base of an exponent have to be greater then 1
    15·1 answer
  • The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.
    7·2 answers
  • What is 1\3 of 600 in fraction form
    11·2 answers
  • It takes_ hours to reach the sea.
    6·2 answers
  • two airplanes leave an airport at the same time and travel in opposite directions. one plane travels 70km/h slower than the othe
    6·1 answer
  • Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percent error?
    13·2 answers
  • (GIVING BRAINLIEST TO WHO HELPS ME!!)
    9·1 answer
  • How does (4x + 5)(3x + 10) demonstrate the closure property for polynomials?
    13·1 answer
  • Please help me with this
    15·1 answer
  • Which equation can pair with x + 2y = 5 to create an inconsistent system?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!