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
A set of equations is given below: Equation C: y = 6x + 9 Equation D: y = 6x + 2 Which of the following best describes the numbe
7nadin3 [17]
So we can get from these two equations that y = 6x + 2 = 6x + 9

6x + 2 = 6x + 9
0 = 7 , but that's incorrect, so this set has no solution.
7 0
3 years ago
Read 2 more answers
If a neutral atom gains an electron, what is its charge?
DENIUS [597]
C. Negative because since the neutral atom stands at 0 and positive ions are 1+ and electrons are negative if it gains the electron ( negative ) it will become negative.
7 0
3 years ago
The ratio of dogs to cats at a veterinarians office is 5 to 3 if there are 15 cats how many total animals are at the office
svet-max [94.6K]

Answer: 25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
More points for all of my friends<br>​
Lisa [10]

Answer:

hey

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which best completes the following sentence?<br> Triangles are congruent if they have the same
Anni [7]

Answer:

Triangles are congruent if they have the same sides.

Step-by-step explanation:

Triangles are congruent when all corresponding sides and interior angles are congruent.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the product?<br><br> (–3s + 2t)(4s – t)
    13·2 answers
  • Washing his dad's car alone, eight-year-old Levi takes 2.5 hours. If his dad helps him, then it takes 1 hour. How long does it t
    10·2 answers
  • The quotient of two numbers subtracted from 20
    13·1 answer
  • A cereal company fills boxes with 16 ounces of cereal. The acceptable percent error in filling a box is 2.5%. find the least and
    9·2 answers
  • Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
    11·1 answer
  • A cereal box has a length of 8 inches, a width of 2.5 inches and a height of 12 inches. The cereal box is made completely of car
    9·1 answer
  • What are the missing terms 64, -32, 16, -8, ___, ___?
    7·2 answers
  • 2/3p-1/4p when p=2.4 (I messed up last time)​
    12·1 answer
  • 4 1/3 x 3/5 express your awnser in simplest form.
    10·1 answer
  • The intersection of a triangle and a line could be a segment<br> True or False
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!