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
eimsori [14]
3 years ago
6

Here is a triangular pyramid and its net.

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

You might be interested in
Leonard purchases a model boat kit for $67.53. He uses a coupon for $25 off a purchase of $50 or more. What is the discounted pr
DerKrebs [107]
Given that the original price of the model boat kit is $67.53 and he has a coupon of $25 off if a purchase is $50 or more. Since the purchase is more than $50, we will deduct 25 from 67.53 so the discounted price of the model boat kit would be $42.53. Hope this answers your question.
8 0
3 years ago
The equations are
Temka [501]

Answer:

option one

Step-by-step explanation:

the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3

5 0
3 years ago
Andrea and sula ran a race on a track that was 100 meters long.When andrea crossed the finish line sula was exactly 5 meters beh
cestrela7 [59]
Andrea will be at 95 meters and Sula would win I think.
7 0
3 years ago
18n squared + 57n -10
aniked [119]
Most people use the decomposition method but i dont know how to do that so i use the Joes method a method similar to decomp. but easier.
canadian way

Find gcf: None
complet trinomial: 18n^2+57-10
find the product=10(18)
                       =-180
find the sum     =57
-3 and 60 goes into both meaning if you multiply 3 and60 you get -180 and if you add them you get 57.

so (n-3)(n+60)
divide by a in this case it 18
so (n<u>-3</u>)(n+<u>60</u>)
       18     18
do not divide. treat it like a fraction so you reduce it to lowest terms
(n<u>-3</u>)(n<u>-3)
</u>   18   10
<u /> at this point its reduced to lowest terms so now you take the deniminator and move it beside the "n"

=(18n-3)(10n-3)

therefore your answer is (18n-3)(10n-3)
I hoped this helped :)
3 0
3 years ago
How to write (1.5 x 10^-4) x (2.5 x 10^3) in scientific notation
maria [59]
<h2>Answer:</h2>

The answer to your question is: (4 x 10^-1)

7 0
3 years ago
Other questions:
  • Write the number in standard form 12 ten thousand 8 thousands 14 hundreds 7 ones
    13·2 answers
  • Could u tell me what 60:48 in its simplest form is please
    10·1 answer
  • The taxi fare in a city is $3 and then $0•40 for every kilometre travelled.A taxi fare is $9.How far has the taxi travelled​
    13·1 answer
  • Six students in Mrs. Lola’s class like strawberry pie; this represents 30% of the total class.
    8·1 answer
  • 1) During a football game, a team lost 10 yards and then gained 9 yards. What is the net gain or loss for the team?
    9·1 answer
  • I have no idea how to even begin with this
    12·1 answer
  • The illustration below shows the graph of y as a function
    12·1 answer
  • Helphelphelphelphelphelphelphelphelphelphelp
    11·1 answer
  • Find 16% of 175<br><br><br> How do I find this please help me
    15·2 answers
  • Highest common factor of 24,32,40
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!