A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume

Answers

Answer 1

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3


Related Questions

does anyone know hot to find the area?

Answers

Circle = (pi)r²
So, (pi)22²
(pi)484
=1520.53084

If you’re using 3.14 for pi instead of the symbol on the calculator, the answer will be slightly different

quentin is going to buy a pair of pants that cost $32.50. he has a coupon for 20% off the price of one item and another coupon for $5.00 off the price of one item. he can only use one coupon. which coupon should quentin use to save the most money

Answers

Answer:

20% coupon

Step-by-step explanation:

20% of 32.50 = 6.5

32.50 - 6.50 = 26

32.50 - 5 = 27.50

26 is less than 27.50, therefore, the 20% off coupon should be used to save him $1.50.

Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2​

Answers

The number line inequality will be true for the following condition given in this problem:

When a = 0 and c = -8.

How are real numbers represented on a number line?

On a number line, real numbers increase from left to right, meaning that:

Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.

For this problem, the inequality is:

c > b > a.

Which means that:

c is to the left of b.b is to the left of a.

We have that b < -1, hence:

c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...

Then the conditions that make the statement b < -1 true are given as follows:

When a = 0 and c = -8.

More can be learned about number line inequalities at https://brainly.com/question/24372553

#SPJ1

Help, please!! I don’t have much time

Answers

Answer:

B.

Step-by-step explanation:

Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2

Answers

Answer:

20 is right

Step-by-step explanation:

to easy I know maths

Answer:

When your comparing the two functions.

F(x)= 1/50(3)^x

G(x)=1/5x^2

When you compare it i think it would be C

PLEASE DONT QUOTE ME ON THIS

Step-by-step explanation:

The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3) Where
I is the time in years.
Which expression describes the relationship between the populations P; and P2 in 3 years?
O A P2 = 1/2
O B. P2 = 1 / 1
OC P2 = 2 P
OD. P₂ = 1 / 2
OE P2 = 720P

Answers

I think it’s B.P2= 1/1

The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently

Answers

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?

Answers

Answer:

$261.80 Net pay

Step-by-step explanation:

340 x 0.23 =   $78.20 in taxes

$340 - $78.20 =  $261.80 Net pay

Answer:

$261.8 Is how much you take home.

Step-by-step explanation:

(* is multiply)

In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5

23% of 340 is 78.2 ( 340 * 0.23)

Subtract 340 by 78.2, and you get your net pay, 261.8

Another way to do this is subtract 100% by 23%.

so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep

so 340 * 0.77 = 261.8

anong uri ito ng NGO/PO?​

Answers

[tex]_____________________________________[/tex]

ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.

Akala ko ako lang Pilipino dito

[tex]_____________________________________[/tex]

꧁____YunaKoharuChan____꧂

What is the measure of ZYOZ, given that WXYZ?
W
X
105°
A. 75°
B. 255°
C. 95°
D. 105°


plss helpp

Answers

Answer:

same 105° option D is correct

Which of the following is most likely the next step in the series?
Look at the photo

Answers

It looks like C since it was the start on the other side.

What strategies do you use when measuring the volume of a rectangular prism? Share your thinking using 2-3 sentences.

Answers

you wanna know my strategy? I grab a hammer, smash the rectangular prism open, and drink its insides and see how much my stomach fills. EZ.

I need a answer for this

Answers

Answer:

6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 +64=100

a^2 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3​

Answers

Answer:

73.5

Step-by-step explanation:

Step 1: 21/2 divided by 2 = 21/4

Step 2: 21/4 times 21/4 times 8/3 =

Answer: 73.5

The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.

Decide whether there is enough information to prove that r∥s. If so, state the theroem you would use.

Answers

Answer:

C

Step-by-step explanation:

if the two lines were parallel, then the alternate, on opposite side of the trasversal, exterior, or not inside the lines, angles would be congruent. sicne they are, the line are parallel

Help please............. please

Answers

Answer:a!

Step-by-step explanation:

Answer = A


step by step explanation:

Given circle Q with a measure of SR= 120° and a radius of 9 feet, as shown below.
Determine the arc length of SR. Use mathematics to explain how you determined your answer
Has photo ❤️

Answers

Answer:

18.84feet

Step-by-step explanation:

Length of an arc = rtheta

radius r = 9feet

theta = SR= 120°

Convert theta to radians

theta = 120π/180

theta= 2π/3

Length of the arc = 9 * 2π/3

L = 18π/3

L = 6π

L = 6(3.14)

L = 18.84feet

Hence the length of the arc is 18.84feet

288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8

Answers

24 small box, 72 medium box, 192 large box

JELLO HELLO KNOCKS FOR HELP

Answers

Wait imma try to solve this

Answer:

I think it's 9×30=270 (given

270-180 (sum of triangle

=90°

Find the volume of this sphere.
Use 3 for 7T
V [?]ft3
V = Tr3
1
3ft
PLEASE HELP

Answers

Answer:

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wth

tw

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wth

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had to be 20 characters long...

HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST​

Answers

Answer: B

Explanation

Is this a Pythagorean triplet ?
12,5,13​

Answers

Yes, because 12^2 + 5^2 = 13^2

(5. solve for x )
2/5 + x = 1

Answers

X=3/5 for exact form of decimal it is x=0.6

Hurry help meh pls real fast no links they are viruses or files help pls help

Answers

Answer:

For the triangle, its area is 32.1 inches.

For the trapezoid, its area is 170 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is A = h * b/2, where h is for height and b is for base. There seems to be two measurements at the base of the triangle so what I did is I added together 3.5 and 7.2 and got 10.7. The slant measurement of the triangle isn't important in this formula so just pretend 5.5 in isn't there. Multiply 10.7 (base) to 6 (height) and you'll get 64.2. Now divide the product by 2 and you'll get 32.1 inches as the area of the triangle.

The formula for finding the area of a trapezoid is A = ((a + b)/2)h, where a is base A, b is base B, and h is the height. This formula looks a bit complicated but if you know a bit of PEMDAS, then you'll understand the formula. Again, there are two measurements at the base of the trapezoid but simply, I added them to get 24 and the slants don't make any use for this formula either. Add 10 (base A) and 24 (base B) to get 34. Now divide 34 by 2 and you'll get 17. Finally, multiply the product to 10 (height) and you'll get 170 feet as the area of the trapezoid.

If you don't know PEMDAS, just comment something related to "Can you explain what PEMDAS is?" or "What is PEMDAS?" and I will answer your question as quick as I possibly can. I hope this helps!

plz help i beg uu. Will give branliest

Answers

I think the answer would be C :$:$:$:$:$:$:$:$:&:$
The answer is C hope this helps!!

on a piece of paper mark a point h for home and s for school. describe how to find the set points of equidistant from h and s

Answers

Answer:

e?..............................

A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
from the base of the building. The side of the building and the ground form
a right angle as shown.

Enter the distance between the ground and the top of the ladder, x, in feet.

Answers

Answer:

Pythagorean theorem:

x^2 = 17^2 - 8^2

x^2 = 225

x = sqrt(225) = 15

The distance is 15 ft

Answer:

Solution given:

base=8ft

hypotenuse=17ft

perpendicular=?

By using Pythagoras law

hypotenuse ²=perpendicular ²+base²

17²=perpendicular ²+8²

perpendicular ²=17²-8²

perpendicular=[tex]\sqrt{225}=15[/tex]

the distance between the ground and the top of the ladder, x is 15ft.

Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for working xx hours.

Answers

Wheres the graph...and the question?

PLEASE HELP WILL GIVE BRAINLIST​

Answers

Answer:

B

Step-by-step explanation:

∠ 3 and ∠ 8 are alternate angles and are congruent, then

6x + 3 = 4x + 29 ( subtract 4x from both sides )

2x + 3 = 29 ( subtract 3 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13 → B

Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if m = months and
c = total rent paid for the year?

Answers

Answer:

c=12,564

m=1,047

Step-by-step explanation:

I don’t know sorry .................
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