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
goldenfox [79]
3 years ago
5

Use the figure below to answer the questions.

Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

S=2A_{b}+P_{b}h

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism


b. What is the formula for total surface area for this shape?

Total Surface area:

S=2A_{b}+P_{b}h

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h


c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

P_{b}=4cm+3cm+5cm\\ P_{b}=12cm

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}


You might be interested in
What the heck am I doing something something something I’m doing this. So there’s enough writing.
AleksandrR [38]

Answer:

are you okay ? that didnt really make sense sorry love

Step-by-step explanation:

4 0
2 years ago
WHAT VAULE MAKES THE TRIANGLE SIMILAR A.1.5 <br> B.5 c .6 d .9
alukav5142 [94]
C.6 is your answer. half of 4 is 2, and your smaller triangle is 2 and 3, half of 6 is 3.
3 0
2 years ago
What's the absolute value of 9.8 and of - 10/3
alekssr [168]
The absolute value of 9.8 is 9.8, and the absolute value of - 10/3 is 10/3 
The Absolute value of a number is always positive. 
3 0
3 years ago
Read 2 more answers
Suppose the population of a town is 8,200 and is growing 3% each year. Write an equation to model the population growth. Predict
lawyer [7]

x = population after 3 years

y = starting population

r = percentage

n = number of years

x = y *(1+r)^n

x = 8200 * (1 +0.03)^3

x = 8960.36

 so about 8960 people in 3 years


6 0
3 years ago
Read 2 more answers
Which of the following statements uses the additive identity? 9 + 0 = 9 9 · 0 = 0 9 + 1 = 1 + 9 (9)(1) = (1)(9)
m_a_m_a [10]
<h3>Answer: 9+0 = 9</h3>

The additive identity is 0. If you add 0 to any number, then you get the same number as a result. In general, x+0 = x where x is a place holder for any number. For this problem, x = 9 so that's how 9+0 = 9.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Tim and Jim are working on a school project together. If he had to work by himself, it would take
    15·1 answer
  • Find XY.<br> ._________.___.<br> X Y 7 Z
    8·1 answer
  • Someone help me please
    5·1 answer
  • One number is 1 less than a second number. twice the second number is 12 less than 3 times the first. find the two numbers
    11·2 answers
  • If DM=45, what is the value of r?
    14·1 answer
  • Need help filling in the blanks.. also not sure if the answers i filled in are correct or not.
    7·1 answer
  • An animal shelter spends $1.50 per day to care for each bird and $8.50 per day to care for each cat. Alexander noticed that the
    10·1 answer
  • Is anyone any good at Pre-Algebra? I need help.
    6·2 answers
  • 42-46 I'm kind of confused on this part of my assignment help me please and thank you :)
    10·1 answer
  • Hello Please Find The Answer To This Question (easy) Part 2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!