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
grin007 [14]
2 years ago
9

What is the surface area of the solid?

Mathematics
2 answers:
Paha777 [63]2 years ago
3 0

Answer:

  D.  28 square centimeters

Step-by-step explanation:

The surface area of the prism is the sum of the base areas and the lateral area. Here, the base is an odd shape, so it must be decomposed into shapes we can find the area of.

__

<h3>base area</h3>

The base of this prism is the L-shaped face nearest the observer. It can be decomposed into a 1 cm square atop a 1 cm by 3 cm rectangle. The area of the face is the sum of the areas of these parts.

  square area = s² . . . . where s is the side length

  = (1 cm)² = 1 cm²

  rectangle area = bh . . . . b is the base, h is the height

  = (3 cm)(1 cm) = 3 cm²

Then the area of the one prism base we see is ...

  base area = 1 cm² +3 cm² = 4 cm²

The total area of both L-shaped bases of the prism is ...

  total base area = 2(4 cm²) = 8 cm²

__

<h3>lateral area</h3>

The perimeter of the base is the sum of the lengths of its edges. Working clockwise from the lower left corner, we find the base perimeter to be ...

  (1 +2 +1 +1 +2 +3) cm = 10 cm

The lateral area is the product of the "height" of the prism (the distance between the parallel bases) and this perimeter length.

  LA = Ph

  LA = (10 cm)(2 cm) = 20 cm²

__

<h3>solid area</h3>

The surface area of the solid is the sum of the areas of the bases and the lateral area:

  total surface area = total base area + LA

  = (8 cm²) +(20 cm²) = 28 cm²

The surface area of the solid is 28 square centimeters.

Reika [66]2 years ago
3 0
I don’t sure but i go to my book then I knew this Answer:B. 26 centimeters
Because my teacher said that the 28 square centimeters is 1/4 meters you can devided to 28 like 25 diveded by 5=5 then 5x28=280 then 280-28=268 then that is it inbento ko lang
You might be interested in
25 POINTS AND BRAINLIEST IF ANSWERED CORRECTLY!
vesna_86 [32]
X=-1 hope this helped!
3 0
3 years ago
Read 2 more answers
ASAP!!! Please.....…………………........
vlada-n [284]

He could make seven 3/8lbs portions of meat.

I was a little stumped too, but I think this is it. That's my work process, though

7 0
3 years ago
What is the solution for -3.25y&lt; -61.75
const2013 [10]
Bendnsjsjjsjsjsjjdjshajsjjsjsjjsjsjsjjsjs
5 0
3 years ago
Read 2 more answers
Find midpoint of line segment joining j(6 17 and i(9 16)
Serga [27]
Answer: (15/2, 33/2) or (7.5, 16.5)
depending on if you want fractions or decimals

explanation:
equation for midpoint... (avg x, avg y)
x-coordinate: (6+9)/2 = 15/2 = 7.5
y-coordinate: (17+16)/2 = 33/2 = 16.5
4 0
3 years ago
Mika Jena and 5 friends will help run the event. They will wear either a red shirt or a red baseball cap during the event. They
gogolik [260]
4 people will have to wear caps while 3 other will wear shirts.
4x4 = 16
3x8=24
16+24= 40
7 0
3 years ago
Read 2 more answers
Other questions:
  • -2 and one third &gt; 2 and two third
    14·1 answer
  • in November 2013, the exchange rate between Australian dollars (A$) and singapore dollar (S$) offered by a money changer was A$1
    5·1 answer
  • Increase 48m by 20% ??????????????????????????////
    12·2 answers
  • Find all integer solutions to the equation 91x + 329y = 49.
    11·1 answer
  • How do you write 228 o/o as a fraction
    15·1 answer
  • If someone had five cookies and decided to divide it by four people how much cookies would each person get.
    12·2 answers
  • How do I solve this, I need help!
    15·1 answer
  • Solve for x <br> (10x+44)(8x-23)
    7·1 answer
  • In which region are the patient counts most similiar
    6·1 answer
  • 18.) Which expression is equivalent to -6x + 7.5?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!