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
lara [203]
3 years ago
7

The pyramid shown has a square base that is 12 centimeters on each side. The slant height is 18 centimeters. What is the surface

area of the pyramid?
Mathematics
2 answers:
Sav [38]3 years ago
8 0
<span>The <u>correct answer</u> is:

576 sq. cm.

Explanation:

The surface area of a figure is the sum of the areas of the faces of the figure.

The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.

The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.

There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.

The area of the base is given by length times width, or 12*12 = 144 sq. cm.

This gives us a total surface area of 432+144=576 sq. cm.</span></span>
blagie [28]3 years ago
3 0

Answer:

The total surface area of the pyramid = 576 cm²        

Step-by-step explanation:

The base of the pyramid is square with the side length of 12 cm

So, Area of the base of pyramid = (side)²

                                                      = 12 × 12

                                                     = 144 cm²

Now, to find the area of the triangle : length = 12 cm and height = 18 cm

Area of the triangle = 0.5 × length × height

                                 = 0.5 × 12 × 18

                                 = 108 cm²

So, Area of 4 triangles in the pyramid = 4 × 108

                                                               = 432 cm²

Hence, The total surface area of the pyramid = 144 + 432

                                                                               = 576 cm²

You might be interested in
Which regular polygon will have the largest angle measure?
Bad White [126]
I did this in my math the other day and the answer is octagon 
i think of it as this 'the more angles there are the larger the angles'
i hope i helped

7 0
2 years ago
Read 2 more answers
I can add fractions with unlike denominators 3/7 + 1/6 =<br><br><br><br>PLEASE WITH THIS QUESTION ​
gulaghasi [49]

Answer:

25/42

Step-by-step explanation:

first find same denominators

18/42 + 7/42

then add the new fractions

18/42 + 7/42 = 25/42

Hope this helps :)

Have a nice day :)

Can you give me brainliest plz :)

8 0
3 years ago
Read 2 more answers
Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al
Vladimir [108]
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))] 

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.

For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0
3 years ago
At 4:30pm, the thermometer outside of Yasmine's window read 40*C. It had risen 8* between noon and 4:30pm and 5* between 7:00am
Natalija [7]
32* I belive if it had risen 8 degrees then 40 minus 8 is 32

4 0
3 years ago
How to solve бу - 5 = 7
WARRIOR [948]

Answer:

y = 2

Step-by-step explanation:

6y-5=7

   +5  +5

6y=12

/6   /6

y=2

6 0
2 years ago
Other questions:
  • The total cost for bowling includes the fee for show rental plus a fee per game. the cost of each game increases the price by $4
    11·1 answer
  • 4.<br> What is the domain of the graph shown below?<br> Yo someone answer ASAP plzz
    6·2 answers
  • Which statement justifies why ∠ABF measures 130°? Given: angles ABD and DBC are complementary Point B is on line AE between poin
    5·1 answer
  • According to the Rational Root Theorem, the following are potential roots of fu) = 8042-572-18
    6·1 answer
  • How do I solve a vertical angle?
    5·2 answers
  • Etermine whether the conjecture is true or false. Give a counterexample for any false conjecture.
    9·1 answer
  • What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
    13·2 answers
  • Harry collects data from a random sample of seventh-graders. Out of 25 respondents, 10 ride the bus home. Of the 150 seventh-gra
    13·2 answers
  • What is the image of (-3,6) when reflected in the x-axis?
    12·1 answer
  • Solve –x∕6 &gt; 2<br> it's for homework
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!