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
Bas_tet [7]
2 years ago
15

Find the lateral area and total surface area of each of the following. GEOMETRY!!! HELP PLS

Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.

(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.

(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.

<h3>Lateral surface area of the prism</h3>

L.S.A = Ph

where;

  • P is perimeter of the base
  • h is height of the prism

h² = 17² - 8²

h² = 225

h = 15

L.S.A = (3 x 16) x 15 = 720 sq units

<h3>Total surface area of the prism</h3>

T.S.A = PH + 2B

T.S.A = 720 + 2(16) = 752 sq units

<h3>Lateral surface area of the cone</h3>

L.S.A = πrt

where;

  • t is the slant height = 17

r² = 17² - 15²

r² = 64

r = 8

L.S.A = π(8)(17) = 136π sq units

<h3>Total surface area of the cone</h3>

T.S.A = πrt + πr²

T.S.A = 136π sq units + π(8)²

T.S.A = 200π sq units

<h3> Lateral surface area of the cylinder</h3>

L.S.A = 2πrh

where;

  • r is the radius of the cylinder = 11
  • h is height of the cylinder = 11

L.S.A = 2π(11 x 11) = 242π sq units

<h3>Total surface area of the cylinder</h3>

T.S.A = 2πrh + 2πr² = 2πr(r + h)

T.S.A = 2π(11)(11 + 11)

T.S.A = 484π sq units.

Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.

  • the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
  • the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.

Learn more about surface area here: brainly.com/question/76387

#SPJ1

You might be interested in
The length of a planet's orbit around a star is approximately 17,650,000 km.
daser333 [38]

Answer:

1150 km/hr

Step-by-step explanation:

Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours

In the question we are given the following parameters.

The length of a planet's orbit around a star = Distance = 17,650,000 km.

Time taken to complete a full orbit = 640 Earth days

Step 1

We need to convert the time in days to hours

1 Earth day = 24 hours

640 Earth days =

We cross multiply

640 Earth days × 24 hours

= 15360 hours.

Step 2

Average Speed = Distance in Kilometers/ Time in Hours

Average Speed = 17,650,000 km. /15360 hours

Average Speed = 1149.0885417 km/hr

Approximately to 3 significant figures=

1150 km/hr

Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr

8 0
3 years ago
Find the value of the y-intercept of the line whose equation is 17x-12y=-36
Nastasia [14]
-12y = -17x - 36

divide through by -12:-#y = -17/-12 x + 3
slope =  17/12
5 0
3 years ago
One kind of hard candy sells for $.89 per kilogram another sells for $1.10 per kilogram how many kilograms of each kind a need t
Furkat [3]

Answer:

20kg of $0.89 candy

10kg of $1.10 candy

Step-by-step explanation:

Candy 1 = 0.89 per kg

Candy 2 = 1.10 per kg

Total kilogram, kg = 30

Let candy 1 = x ; candy 2 = (30 - x) ;

0.89x + 1.10(30 - x) = 0.96(30)

0.89x + 33 - 1.10x = 28.8

0.89x - 1.10x = 28.8 - 33

-0.21x = - 4.2

x = 4.2 / 0.21

x = 20

20kg of $0.89 candy

(30 - x) = (30 - 20) = 10kg

10kg of $1.10 candy

4 0
2 years ago
Consider the set a = {a, b, {a, b}}, where a and b are distinct elements. the number of elements in ℘(a) is _____
Juli2301 [7.4K]

A=\{a,b,\{a,b\}\}\\|A|=3\\\\|\wp(A)|=2^3=8

7 0
3 years ago
Mitch is replacing all the light bulbs in his home with energy efficient LED light bulbs. How many packages of 4 will he need to
lapo4ka [179]
C) 22

86/4 = 21.5
*5 Or more, raise the score*
(rounds to 22)
you should have 2 lightbulbs left over but you would be 2 lightbulbs short if you were to get 21 packages as opposed to 22
6 0
3 years ago
Other questions:
  • Is 35,689 a composite number?
    14·1 answer
  • Realize income is ____.
    12·1 answer
  • Part A
    15·1 answer
  • The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?
    5·2 answers
  • In mixed fractions, which fraction is equivalent to 16/3
    8·2 answers
  • Hamburger Heaven is having a lunch special where customers buy one 3/4 -pound cheeseburger and get one free. If they set aside 3
    10·1 answer
  • How to graph y=7x-1 using the y
    5·1 answer
  • Chef Katrina uses 1 cup of pecans for every 3 cups of peanuts in her Merry Munch Mix. One cup of pecans costs $ 4.99 and one cup
    9·1 answer
  • Suppose f(x) = x - 2. Find the graph of 1/2 f(x)
    15·1 answer
  • Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each sine or cosine value to its equi
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!