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
Thepotemich [5.8K]
3 years ago
8

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

al surface area of the pyramid
Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the  and one of the diagonal edges of the pyramid.  Specifically we will need half of the diagonal of the square.  We will call the diagonal of the square d.

8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}

Gonna leave it like that for ease of writing.  So then half of the diagonal is \frac{\sqrt{128}}{2}

The height, h, will be (\frac{d}{2})^2+h^2 = 8^2.  Plugging everything in gets us h=\sqrt{32}

last, we need to find slant height, which we will call s.

(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}

s is also the height of the triangles for purposes of finding area.  Now for the volume and areas.

Volume is area of the base times height divided by 3, so V=8^2\frac{\sqrt{32} }{3}  = \frac{64\sqrt{48} }{3} = 120.6796

Lateral area is the sum of the four areas of the triangles, and each of those are \frac{8*h}{2} so the whole lateral area is 4 times that.  So we get 4\frac{8\sqrt{32} }{2} =110.8513

Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513

You might be interested in
Chloe made 8 out of 20 baskets in her basketball game. What is her<br> experimental probability? ???
Lerok [7]

10 would be 50% so 1 is 5% 5x8 =40

Her experimental probability is 40%

8 0
3 years ago
4 out of 12 family rides are for young riders under the age of 5. What fraction has the same value as 4/12?
Luda [366]

I think the answer is 1/3 because you can simplify 4/12 into 2/6 and that can also be simplify into 1/3. Sorry if I am wrong let me know if i'm right

4 0
3 years ago
Read 2 more answers
Nevia spent $0.75 on 1.5 pounds of bananas. At this rate, how much will 6 pounds of bananas cost?
Vladimir [108]

Answer:

6 Pounds of Bananas will cost a total of $3

4 0
2 years ago
Help anyone ? Pls n thank you
Ostrovityanka [42]

Answer:

3^{6} =729

Step-by-step explanation:

3^{6} ÷ 3^{5} = X ÷ 243 =3

So X = 3×243= 729

4 0
3 years ago
Thanks for your answer♡♡.​
Crazy boy [7]

Answer: -1

Step-by-step explanation:

(2x(x+1)+2x(x-3))/(4x(x-3)(x+1)) = 2x/((x-3)(x+1))

(2x-2)/(2) = 2x

x-1 = 2x

-1 = x

3 0
2 years ago
Other questions:
  • There are 3 measures of music that are played 3 times in a song. If the first measure has 8 notes, the second measure has 16 not
    12·2 answers
  • Which expression is equivalent to 18x + 45?
    12·2 answers
  • One counting number is 4 times great as a counting number.The product of the two number is 36.What is the sum of the two number
    8·1 answer
  • Identify square root of 2 as either rational or irrational and approximate to the tenths place. Rational: square root of 2 ≈ 1.5
    13·2 answers
  • There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation repre
    7·2 answers
  • HURRY PLEASE!!! I NEED TO TURN THIS IN SOON<br><br> i need an explanation too.
    11·1 answer
  • Which of the following correctly shows the distribution of 4 in the following expression?
    13·1 answer
  • All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca
    13·1 answer
  • The expression is 3 (x+4)-(2x+7) what is that equivalent too
    14·2 answers
  • Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!