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
k0ka [10]
2 years ago
6

A composite figure is shown.

Mathematics
1 answer:
VikaD [51]2 years ago
4 0

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

  • For the cube

Surface area of a cube is given by

S = 6l^{2}

Where l is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = 5l^{2}

From the given information,

l = 6 \ feet

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

  • For the square prism

The surface area of a square prism is given by the formula,

S = 2l^{2} + 4lh

Where l is the length of the sides and

h is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = 2l^{2} + 4lh -  2l^{2}

Surface area of the square prism in the figure = 4lh

From the given information,

l = 6 \ feet

h = 20 \ feet

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

  • For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }

Where l is the base length

and h is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }\  - ( l^{2})

Surface area of the pyramid part of the figure = 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }

From the given information,

l = 6 \ feet

h = 4 \ feet

∴ Surface area of the pyramid part of the figure = 2(6)\sqrt{\frac{6^{2} }{4}+4^{2}  }

= 12\sqrt{\frac{36 }{4}+16}

= 12\sqrt{9+16 }

= 12\sqrt{25}

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

#SPJ1

You might be interested in
Convert 26\%26%26, percent to a fraction in simplest form.
Korolek [52]
26 percent?

A percent is a fraction out of a hundred. 5% is 5 out of one hundred, 20% is 20 out of one hundred, etc.

So 26/100 simplified is 13/50.
6 0
3 years ago
HELP ME , I CANNOT POST PICTURE &amp; I HAVE 2 THINGS THAT REQIRE A PICTURE WHAT DO I DO ??!
Rashid [163]

Answer:

Step-by-step explanation:

so when you post your picture you wanna click the thing that looks like a paper clip and attach a file or picture. or your can copy your photo and paste it in your question if you dont know how to take a picture just screenshot it *depends what kind of computer your using*

5 0
3 years ago
Read 2 more answers
For the following quadratic equation, find the discriminant.<br> x^2+ 10x + 44 = 0
Alina [70]

Answer:

padlet        com     /vpena20241    

/sv1blyklvnvfbcdw

Step-by-step explanation:

4 0
3 years ago
Help pls anyone? ty if u do :)
Schach [20]

Answer:

B. The division property of equality

Step-by-step explanation:

The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal. That is, if a, b, and c are real numbers such that a = b and c ≠0, then a c = a c. Therefore B is the right answer.

pls give brainliest for the answer

4 0
2 years ago
Read 2 more answers
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t) = 52t - 16t^2 . What i
Nata [24]

Answer: 42.25 feet

Step-by-step explanation:

We know that after "t" seconds, its height "h" in feet is given by this function:

h(t) = 52t -16t^2

The maximum height is the y-coordinate of the vertex of the parabola. Then, we can use the following formula to find the corresponding value of "t" (which is the x-coordinate of the vertex):

x=t=\frac{-b}{2a}

In this case:

a=-16\\b=52

Substituting values, we get :

t=\frac{-52}{2(-16)}\\\\t=1.625

Substituting this value into the function to find the maximum height the ball will reach, we get:

h(1.625) = 52(1.625) -16(1.625)^2\\\\h(1.625) =42.25\ ft

4 0
2 years ago
Read 2 more answers
Other questions:
  • The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s
    10·1 answer
  • The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm. Rounded to the nearest tent
    9·2 answers
  • Shalika bought a purse for $120. The tax rate is 9%. What is the total amount Shalika paid? Enter your answer in the box.
    9·2 answers
  • Pls helpppppppppppppppppp
    12·2 answers
  • Which is the graph of the equation y-1=- f (x-3)?
    11·1 answer
  • 43. Ricardo just received a shipment of 50 tool sheds for his garden supply store. Each shed costs him $40. Which of the followi
    11·1 answer
  • hey. I’m doing bad in math! I have a 17% and I have to get 60% in order to pass I’m so stressed out and I just wanna cry. Is thi
    14·1 answer
  • A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Assume that you arrive at the station a
    8·1 answer
  • Convert 8/9 to its decimal form and round to the nearest thousandth
    6·2 answers
  • The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!