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
inysia [295]
3 years ago
6

Find the surface area Please explain

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0

Answer:

Given

=>A Trapezoidal Prism

To Find

=>The surface area

Solution:

=>

<em><u>The surface area S = 2. A Base + Lateral Surface Area</u></em>

Atrapezoid = A Base

h (a+b)

L Lateral Surface Area = the sum of the areas of each surface around the Base.

L = al + cl + bl + dl

Substitute each piece into the equation:

h S = 2 (a + b) + al + cl + bl + dl 2

Simplify:

S = h(a + b) + al + cl + bl + dl =

Distribute and Rearrange

: S = ha + hb + al + cl + bl + dl

<em><u>S = a(h + </u></em><em><u>l</u></em><em><u>) + b(h + </u></em><em><u>l</u></em><em><u>) + cl + dl</u></em>

Here,

a =4yd

h = 4.6yd

b =8yd

c= 5yd

d=5yd

l=4yd

<em><u>INSERTING</u></em><em><u> </u></em><em><u>the </u></em><em><u>values </u></em><em><u>in </u></em><em><u>the </u></em><em><u>formula</u></em>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>S </u></em><em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>(</u></em><em><u>4</u></em><em><u>.</u></em><em><u>6</u></em><em><u>+</u></em><em><u>4</u></em><em><u>)</u></em><em><u>+</u></em><em><u>8</u></em><em><u>(</u></em><em><u>4</u></em><em><u>.</u></em><em><u>6</u></em><em><u>+</u></em><em><u>4</u></em><em><u>)</u></em><em><u>+</u></em><em><u>5</u></em><em><u>*</u></em><em><u>4</u></em><em><u>+</u></em><em><u>5</u></em><em><u>*</u></em><em><u>4</u></em>

<em><u>=</u></em><em><u>></u></em><em><u>S </u></em><em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>*</u></em><em><u>8</u></em><em><u>.</u></em><em><u>6</u></em><em><u>+</u></em><em><u> </u></em><em><u>8</u></em><em><u>*</u></em><em><u>8</u></em><em><u>.</u></em><em><u>6</u></em><em><u>+</u></em><em><u>2</u></em><em><u>0</u></em><em><u>+</u></em><em><u>2</u></em><em><u>0</u></em>

<em><u>=</u></em><em><u>></u></em><em><u>S </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>4</u></em><em><u>.</u></em><em><u>4</u></em><em><u>+</u></em><em><u>6</u></em><em><u>8</u></em><em><u>.</u></em><em><u>8</u></em><em><u>+</u></em><em><u>4</u></em><em><u>0</u></em>

<em><u>=</u></em><em><u>></u></em><em><u>S=</u></em><em><u>1</u></em><em><u>4</u></em><em><u>3</u></em><em><u>.</u></em><em><u>2</u></em><em><u> </u></em><em><u>Cm </u></em><em><u>²</u></em>

<h2><em><u>Hence </u></em><em><u>,</u></em><em><u>(</u></em><em><u>a)</u></em><em><u> </u></em><em><u>=</u></em><em><u>1</u></em><em><u>4</u></em><em><u>3</u></em><em><u>.</u></em><em><u>2</u></em><em><u>c</u></em><em><u>m</u></em><em><u>²</u></em><em><u> </u></em><em><u>is </u></em><em><u>the</u></em><em><u> correct</u></em><em><u> answer</u></em></h2>

Dmitriy789 [7]3 years ago
5 0

Step-by-step explanation:

There are two trapezium(s), area of 2:

= 2 [½ x (sum of || sides) x height]

= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]

= 55.2 yd²

Area of vertically tilted rectangles

1): area = 5 x 4 = 20 yd²

2): area = 5 x 4 = 20 yd²

Total area = 20 + 20 = 40 yd²

Area of horizontal rectangles:

1): area = 4 x 8 = 32 yd² [upper]

2): area = 4 x 4 = 16 yd² [lower]

Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²

You might be interested in
A trader saved $200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at th
rewona [7]

Answer:

i).272

ii. (2x-1) (3y+2)

b). 14,400 seconds

Step-by-step explanation:

in pic

(Hope this helps can I pls have brainlist (crown)☺️)

4 0
2 years ago
What is the 3rd term of the linear sequence below: <br><br> 22,18,14,10,6...
Ratling [72]
Answer:

14


step by step explanation:

14
4 0
3 years ago
What is the range of f(x) = -x2 + 4, if the domain is {2,0,1}?
Viktor [21]

Answer:

k12

Tell me the answer

Step-by-step explanation:

5 0
3 years ago
What is the value of the expression (9+15)/3+2?
KIM [24]
(9+15)/3+2
24/3+2
8+2
10
6 0
3 years ago
Read 2 more answers
Evaluate \dfrac{e}{4}+2f-3 4e +2f−3 when e=12e=12 and f=\dfrac12f= 21<br> ​
dusya [7]

Answer:

\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left(-10-\left(-6\right)\right)}{\frac{\left(4+5\right)}{\left(4^2-3^2\left(4-3\right)-8\right)}+12}=5


Step-by-step explanation:


7 0
3 years ago
Other questions:
  • The correct answer to the question :) *number lines*
    9·2 answers
  • Three times the sum of half a number and 7 is 36
    9·1 answer
  • How much Interest(in dollars) is earned by Investing $2200 at a simple interest rate of 8% for 12 years? Write the correct answe
    11·1 answer
  • Which function decreases faster please help
    5·1 answer
  • A train travels 228km in 4 hours and 45 minutes. What is its average speed in kilometers per hour?
    9·1 answer
  • Two points from the line of best fit can be used to find the slope of the line, which can be used to find the equation of the li
    13·1 answer
  • Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros −1, 1, 4, 5 P(x) =
    12·1 answer
  • “Bowling at Fast Lanes costs $12 per hour plus $2.00 to rent shoes.”
    12·1 answer
  • write a equation for the table below representing the relationship between the number of hours and earring dollars
    8·2 answers
  • NEED HELP ASAP! WILL GIVE BRAINLIEST!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!