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
Olin [163]
3 years ago
14

For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid

is 12 inches tall.
What is the surface area of the model?

Mathematics
2 answers:
nlexa [21]3 years ago
8 0
The surface area of the model is 360 inches<span>².
</span>
By identifying that you're working with a square pyramid, you can interpret that the square base has 4 equal sides. Since the question only provides you with the side length of the square base and the height of the pyramid, you would need to find the slant height of the triangles in order to find the surface area. Since the pyramid is square, the height (line from the top vertex of the pyramid to the center of the square) should be perpendicular to the square. You can interpret that to be a right triangle with in the pyramid. Since the height line is in the center of the square, you would need to take the side length of the square base and divide it in half in order to get a side component for the Pythagoras theorem needed to find the slant height. (10/2 = 5). With that, you plug the components (pyramid height and side length/2) into the Pythagoras theorem (a<span>² + b</span><span>² = c</span><span>²).
</span>
12² + 5² = c<span>²
</span>144 + 25 = 169
<span>√169 = 13

</span>The slant height is 13. You take that component and multiply it with the side length, then divide it by 2, in order to find the area of the triangle that makes up the pyramid. You then take that product and multiply it by 4 to find the lateral area.

13 x 10 = 130
130/2 = 65
65 x 4 = 260
LA = 260

To find the total surface area, you add the lateral area (260) with the base area (the square).

260 + (10 x 10)
SA = 360

Attached is a diagram to help you visualize the problem.

Hope this helps!


max2010maxim [7]3 years ago
3 0

Answer:

360 is the answer on e2020


You might be interested in
If $475 is put in the bank and each year the account earns 5% simple interest, then how much interest will be earned in ten year
sergiy2304 [10]
Hi there! The formula for simple interest is prt. That means multiply the principal (initial amount) by the rate (simple interest rate) by the time (could be in months or years). In this case, we multiply 475 * 5% (0.05) to get 23.75. That's $23.75 in interest each year, but we're looking for the amount earned in 10 years. To do this, multiply 23.75 by 10. When you do, you get 237.5. There. $237.50 in interest will be earned in 10 years.
7 0
3 years ago
Pls Help!!
Studentka2010 [4]

Answer:

Megan needs a 95 to get an average of 90.

Step-by-step explanation:

Add up the test scores Megan has earlier, you would get 355 as a result of all scores added.  In order to get an average of 90%, you would need to accumulate 450 points which she will need to take her final exam on it.  Subtract 355 from 450 to get a score of 95% in which she will need that score to average it to 90%.

5 0
2 years ago
I WILL MARK BRAINLIEST FOR CORRECT ANSWER :)
Ostrovityanka [42]

The answer to that question would be 14
4 0
2 years ago
Read 2 more answers
What’s the answer and how did you get it? i’m confused
Sidana [21]

Answer:

The answer is 3.

Step-by-step explanation:

Because you should put the gh with gh, 2  is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.

7 0
2 years ago
Read 2 more answers
When the temperature is 68°F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometer
Musya8 [376]
0.343 km in one second
5 0
2 years ago
Read 2 more answers
Other questions:
  • Esmerelda bought a bag of jelly beans. There were 24 green jelly beans, which made up 8%, percent of all the jelly beans in the
    6·1 answer
  • Angles C and E are supplementary. The M&gt;C = 112 and M&gt;E = (3x + 50) Solve for X.
    9·1 answer
  • Which example below uses deductive reasoning?. . A.. using a pattern of dates to predict the next occurence of an event. B.. mak
    13·2 answers
  • One positive number is 1/5 of another number the difference of the two numbers is 72 find the numbers
    8·1 answer
  • Form the intersection for the following sets. M = { } N = {6, 7, 8, 9, 10} M ∩ N = {0, 6, 7, 8, 9, 10} {Ø, 6, 7, 8, 9, 10} {6, 7
    15·2 answers
  • Pretty easy math question<br><br>-4/7 x (-5)<br><br>make sure final answer is in simplest form.
    11·1 answer
  • 01101 + 01001 please help me
    15·1 answer
  • Christian is training for a swimming competition He starts swimming 10 ft. from the shore to his boat The table below represents
    9·2 answers
  • Graph the lines in standard form 2x+y=9
    8·2 answers
  • Help please i need to do this quickly
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!