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
F(x)=-2x+4<br><br> find domain and range
Arturiano [62]

Domain: All real numbers

Range: All real numbers

Since the function is linear it is a continuous straight line meaning that the domain and range are all real numbers.

3 0
1 year ago
What is the solution to the system of equations?
r-ruslan [8.4K]

Answer:

(4, –2, 1)

Step-by-step explanation:

You have to put in it the calculate and solve the matrix way

6 0
3 years ago
What are the factors of 44
wolverine [178]
There are many possible factors:
-44, -22, -11, -4, -2, -1, 2, 4, 11, 22, 44

Hope this helps!!
7 0
3 years ago
Read 2 more answers
Find the distance traveled by a particle with position (x, y as t varies in the given time interval. x = 3?sin2 t, y = 3?cos2 t,
ANTONII [103]
Assuming the particle's position is given by

\begin{cases}x(t)=3-\sin2t\\y(t)=3-\cos2t\\0\le t\le4\end{cases}

then the distance traveled over the interval is

\displaystyle\int_{t=0}^{t=4}\sqrt{\left(\dfrac{\mathrm dx(t)}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy(t)}{\mathrm dt}\right)^2}\,\mathrm dt
=\displaystyle\int_0^4\sqrt{(-2\cos2t)^2+(2\sin2t)^2}\,\mathrm dt
=\displaystyle\int_0^4\sqrt{4\cos^22t+4\sin^22t}\,\mathrm dt
=\displaystyle2\int_0^4\mathrm dt
=2(4-0)=8
5 0
3 years ago
What is definition of reasonable estimate?
avanturin [10]
For ex the number is 86 round the number 6 thats next to 8, 6 is bigger then five so it should be 90 it should help you :)
6 0
3 years ago
Other questions:
  • Holly's fitness tracker shows how many
    8·1 answer
  • Which is more, 1 pint or 2 cups?
    11·1 answer
  • Jacks average in math for the first nine weeks was an 88 . His second nine weeks average decreased 12.5% what was his average fo
    6·2 answers
  • George walks to a friend's house. He walks 750 meters North, then realizes he walked too far. He turns around and walks 250 mete
    13·1 answer
  • The ordered pair D (-4,-2) has been plotted for you. If you reflected coordinate d over the x-axis, which point from part A woul
    15·1 answer
  • so my equation is x^2-30x=-125. i already completed the square but what does it mean when i have to add (b/2)^2
    10·1 answer
  • Which of the following numbers has a square root of 9<br><br> 3<br> 4.5<br> 18<br> 81
    5·2 answers
  • A set of four cards consists of two red cards and two black cards. The cards are shuffled thoroughly, and I am dealt two cards.
    12·1 answer
  • Please help asap pretty easy question just stuck
    15·1 answer
  • What’s 30 minutes from 12:42
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!