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
lara [203]
3 years ago
7

The pyramid shown has a square base that is 12 centimeters on each side. The slant height is 18 centimeters. What is the surface

area of the pyramid?
Mathematics
2 answers:
Sav [38]3 years ago
8 0
<span>The <u>correct answer</u> is:

576 sq. cm.

Explanation:

The surface area of a figure is the sum of the areas of the faces of the figure.

The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.

The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.

There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.

The area of the base is given by length times width, or 12*12 = 144 sq. cm.

This gives us a total surface area of 432+144=576 sq. cm.</span></span>
blagie [28]3 years ago
3 0

Answer:

The total surface area of the pyramid = 576 cm²        

Step-by-step explanation:

The base of the pyramid is square with the side length of 12 cm

So, Area of the base of pyramid = (side)²

                                                      = 12 × 12

                                                     = 144 cm²

Now, to find the area of the triangle : length = 12 cm and height = 18 cm

Area of the triangle = 0.5 × length × height

                                 = 0.5 × 12 × 18

                                 = 108 cm²

So, Area of 4 triangles in the pyramid = 4 × 108

                                                               = 432 cm²

Hence, The total surface area of the pyramid = 144 + 432

                                                                               = 576 cm²

You might be interested in
Find the perimeter of each polygon 4cm
andriy [413]
Your answer is 12!!!!!
7 0
3 years ago
16. [-12 Points]
Cerrena [4.2K]

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

8 0
2 years ago
A company will lease office space in win buildings the annual cost is 21.75 per square foot in the first building and 17 per squ
brilliants [131]
What is your question?
I cannot see it
5 0
3 years ago
How many different primes make up the prime factor for 180
andre [41]
When we prime factorize, we get 180=2^2*3^2*5. So therefore there are 3 prime factors that make up 180.
6 0
2 years ago
55 is 40% of what number?
alexira [117]
40 over 100 and 55 over n cross multiply 55 x 100 and divide by 40.which gives you 137.5
4 0
3 years ago
Read 2 more answers
Other questions:
  • Pre cal (help ASAP please )
    15·1 answer
  • F is between E and G. FE = 1/3 FG and EG = 24. find FG
    15·1 answer
  • a cookbook has dimensions 12cm by 16cm. what scale factor should be used to make an enlarged version that has dimensions 21cm by
    15·2 answers
  • One year, Super Bowl commercial time sold for $4.5 million for 30 seconds of air time.
    13·1 answer
  • If 3 hens lay 3 eggs in 3 days, how many eggs are laid in 12 days by 3 hens?? (daily brain puzzle)
    9·2 answers
  • My question is 4 * 7/5th's
    14·1 answer
  • X2 + 6x - 108<br> How do I factor this
    10·1 answer
  • Can anyone answer this for me please and explain I really don’t understand it I’ll mark you brainliest
    10·2 answers
  • You are taking a quiz that has 12 multiple-choice questions. If each question has 5 possible answers, how many different ways ar
    12·1 answer
  • Given two points, (5, –8) (–2, 6), what is the equation of the line containing them both?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!