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
timurjin [86]
3 years ago
8

If X = 4 units, Y = 3 units, and Z = 6 units, then what is the surface area of the right triangular pyramid shown above?

Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer:

C. 42

Step-by-step explanation:

<em>Since the triangle making up the base of the right triangular pyramid is equilateral, the three lateral triangles will have equal areas. To find the surface area of the pyramid, find the area of one of the lateral triangles and multiply it by 3. Then, add that to the area of the triangle that forms the base.</em>

<em>Area of Lateral Triangle = 1/2 · base · height</em>

<em>                                        = 1/2 · X · Z</em>

<em>                                       = 1/2 ·  4 units ·  6 units</em>

<em>                                       = 12 square units</em>

<em>Area of Base Triangle = 1/2 ·  base ·  height</em>

<em>                                     = 1/2 ·  X ·  Y</em>

<em>                                     = 1/2 ·  4 units ·  3 units</em>

<em>                                    = 6 square units</em>

<em>Now, use the method described above to find the surface area of the pyramid.</em>

<em>Surface Area = 3( Area lateral ) + ( Area base )</em>

<em>                      = 3 ( 12 square units ) + ( 6 square units )</em>

<em>                     = 42 square units</em>

You might be interested in
Work out 140-3^2×(8+4)+6÷2
kiruha [24]

Answer:

140 - 9 (12) + 3

140 - 108 +3

140 - 111

= 29

4 0
2 years ago
Please help me<br><br>I will give you 20 points ​
otez555 [7]
Your dividing number for both is by 8. Since 8 hours divided by 8 equals 1. You will do the same to the top and get an answer of 25 miles!!
7 0
2 years ago
I need the answer quiz ends tomorrow in 1 minute plzz
salantis [7]
Hope this helps!
Regards,
ArmyCee:)

4 0
2 years ago
Which pair of ratios form a true proportion
Delicious77 [7]
Hey there! 

I'd say your answer would most likely be Option C

Because you can multiply the \frac{3}{5} by 2 (numerator and denominator by 2 ) to get the fraction \frac{6}{10}

\frac{3(2)}{5(2)} =  2(3) = 6 = 5(2)= 10 =  \frac{6}{10}

Good luck on your assignment and enjoy your day! 

~LoveYourselfFirst:)
7 0
3 years ago
Type your answer and then click Done
dmitriy555 [2]

Answer:

56 in.

Step-by-step explanation:

2(7)+2(21)=14+42=56

8 0
3 years ago
Other questions:
  • How many degrees greater is the mean temperature in week 2than in week 1
    12·1 answer
  • What is the answer to 11 over 7 in improper fractions
    6·2 answers
  • Tom practiced piano 1 and 1/3 hours on Monday. If he spent half as much time practicing on Tuesday, how long did he practice on
    5·1 answer
  • Sarah made two dozen
    6·1 answer
  • Which is smaller -5 or -17?
    15·1 answer
  • what are the minimume, first quartile, median, third quartile, and maximum of the data set? 2 6 12 8 3 9 14 20
    13·2 answers
  • A committee is to be formed with a president, a vice president, and a treasurer. If there are 10 people to select from, how many
    13·1 answer
  • The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measur
    9·1 answer
  • Find 70% of 90.<br> plsss tysm
    8·2 answers
  • Reflect the shape A in the line x=1<br> What are the coordinates of the vertices of the image?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!