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

please provide an answer

Answers

Answer:

[tex]<D=95[/tex]

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = [tex]\frac{187}{22}[/tex]

Simplify,

z = [tex]\frac{17}{2}[/tex]

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10([tex]\frac{17}{2}[/tex])

Simplify,

<B = 85

Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)

<B + <D = 180

Substitute,

85 + <D = 180

Inverse operations,

<D = 95

14z-7=112degree
10z=85 degree
8z=68 degree

Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if the length of the intercepted arc is ___.
A. 6.28 units
B. the same as the length of the diameter
C. the same as the length of the radius
D. pi/4 units

Answers

Remember that 1 degree=(π180) radians. This means that 106∘=106⋅(π180)≈1.85 radians. Now you can find the length of the arc. To find the length of the arc, multiply the radius (6 in) by the measure of the central angle in radians.

A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.

What is the measure of 1 radian?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.

Learn more about radian here https://brainly.com/question/19758686

#SPJ2

PLEASE HELP ME ASAP!! What is the value of x in simplest radical form? х 13 84

Answers

Answer:

x =2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Use pythag to create your equation.

x^2+5^2=7^2

x=[tex]\sqrt{24}[/tex]

In simplest radical form: x =2[tex]\sqrt{6}[/tex]

Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(19x + 3)° is an exterior angle of the triangle, then

11x - 2 + 9x + 1 = 19x + 3

20x - 1 = 19x + 3 ( subtract 19x from both sides )

x - 1 = 3 ( add 1 to both sides )

x = 4

Ninas car exponentially depreciate at a rate of 8% per year. If Nina bought the car when it was 6 years old for 12,045 , what was the original price

Answers

Answer:  $19,864.60

Step-by-step explanation:

The future value formula could have been used to find the price in the 6th year. As we now know the price, the formula can now be used to find the original price.

Price at 6th year = Original price * ( 1 + rate) ^ number of years

12,045 = Og * ( 1 - 8%) ⁶

12,045 = Og * 0.606355001344

Og = 12,045 / 0.606355001344

Og = $19,864.60

Rate is subtracted because price was reducing.

look at the attached question and answer it with steps and explanation pls...... best and correct answer will be marked brainliest.

Answers

Answer:

There ya go, gotta love mathaway :P

please answer ASAP. is this undefined(A) or is it 1 (B)​

Answers

Answer:

slope is undefined

Step-by-step explanation:

The slope of a vertical line parallel to the y- axis is undefined

HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.

Answers

Answer:

150% increase

I need help ASAP!!! 40points!!!

Answers

Answer: rfthhhhh

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

What is g(x)?
A. g(x) = -x
B. g(x) = -2
C. g(x) = -1
D. g(x) = x²

Answers

Answer:

C. g(x) = -|x|

Step-by-step explanation:

|x| is an upwards v centered at the origin

- |x| is a downwards v centered at the origin

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?

Answers

Answer:

x+10+88=180

x. =180-98

x. =82

A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%

What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°​

Answers

Answer:

B. 54°

Step-by-step explanation:

There are 360° in a circle and sector 4 consists of 15% of it.

We just have to multiply the 2 numbers.

15% = 0.15

0.15(360) = 54

what is the answer for this word problem??

The school that Scott goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 4 student tickets for a total of $177. The school took in $73 on the second day by selling 1 adult ticket and 4 student tickets. Find the price of an adult ticket and the price of a student ticket.


Price of an adult ticket $

Price of a child's ticket $

Answers

Answer:

adult $13   student $15

Step-by-step explanation:

A=adult        S = student

9A + 4S = 177

1A + 4S =  73

Multiply the second by (-1)

9A +4S = 177

-1A -4S = -73

ADD BOTH (4S will be cancelled)

  8A = 104

   A = 13      ( Adult ticket = $13)

13 + 4S = 73

4S = 60

S = 15  ( student ticket $15)

 

While shopping for a big party Nick has $90 worth of item) in his grocery cart. Soda is $2 a
bottle. Nick can spend $112 on everything. How many bottles of soda can Nick buy?

Answers

he can buy 11 bottles

can you help me with this problem please?

Answers

Answer:

PR = 2*36 = 72

SU = (1/2)54 = 27

RS = 36

Step-by-step explanation:

By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,

PR is the full side that corresponds to midpoint segment TU. Therefore it's twice the distance of TU.SU is the midpoint segment that corresponds to fill side PQ and therefore half the distance.RS is half the the length of PR since S is the midpoint.

Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.

In your expression, what is the value of the coefficient?

A. 6
B. 15
C. 1
D. 2

Answers

The coefficient I believe would be 6

Could you help me answer this questions?

Answers

Answer:

C, D, B.

Step-by-step explanation:

y=mx+b

look at what numbers are in the variable spots.

Answer in simplest from

Answers

Answer:

5 4/5

Step-by-step explanation:

Answer:

6 1/10

Step-by-step explanation:

Add 4 1/2 and 1 3/5. To add that, you need to multiply the denominators and the numerators, in this case that equals 10. So then add the fractions first 5/10+ 6/10=11/10. Since that is an improper fraction, add +1 to the hole numbers, so you answer would be 6 1/10

#1: Find the area of the triangle shown below.*
6 ft
14 ft

Answers

Answer:

42 Square feet

Step-by-step explanation:

A=(1/2)bh

A=(1/2)(14)(6)

A=42

find the length, width, area, and perimeter of a rectangle where the length is 5 units more than the width and the perimeter is 9 times the width

Answers

Step-by-step explanation:

L= W+5

P= 9W

P= 2L+ 2W

9W= 2(W+5) + 2W

9W= 2W +10 +2W

9W = 4W +10

5W = 10

W = 2

L=7

P= 9(2)

P= 18

A= LW

A= 7 x 2

A= 14

please solve the question with the process​

Answers

Answer:

Step-by-step explanation:

1-2(2x+1)=1-(x-1)

-1(2x+1)=1-(x-1)

-2x-1=1-x-1

-2x+x=0+1

-x=1

x=-1

1% of what number is 4?

Answers

Answer:

400.

Step-by-step explanation:

4 x 100 = 400

The weight of a newborn baby panda weights 2.2 x 10-1 pounds. If an adult panda can weigh up to 1.2103 times more than a newborn panda how many pounds does an adukt panda weigh

Answers

Answer: [tex]0.4862\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

Weight of a newborn baby is [tex]2.2\times 10^{-1}\ \text{pounds}[/tex]

If an adult panda weighs up to 1.2103 times more than a newborn panda

Then weight of an adult is given by

[tex]\Rightarrow 2.2\times 10^{-1}+2.2\times 10^{-1}\times 1.2103\\\Rightarrow 2.2\times 10^{-1}+2.6626\times 10^{-1}\\\Rightarrow 0.4862\ \text{Pounds}[/tex]

Answer pls
The hint part also

Answers

4x+60+ x+15=180
5x+75=180
5x=105
x=21
Two linear angles are supplementary thereom

Find the area of the trapezoids. What is the Area of the trapezoids

A= Square units

Answers

Answer:

[tex]area = area \: of \: rectangle + area \: of \: triangles \\ = (6 \times 2) + ( \frac{1}{2} \times 6 \times 2) + ( \frac{1}{2} \times 6 \times 4) \\ = 12 + 6 + 12 \\ = 30 \: sq \: units[/tex]

Answer:

30

Step-by-step explanation:

You and your family are driving to the Wild Animal Park in Escondido, CA. The distance from your house to the park is 528 miles. You hope to get there in 8 hours of driving time. What would be your average driving speed. Explain your thinking

Answers

Answer:

66 m/h

average speed = distance / time

528/8 = 66m/h

Step-by-step explanation:

Todd bags fruit. He has
483 oranges, 822 apples,
199 pears, and 552
bananas. If he puts
8 pieces of fruit in each
bag, how many bags can
he make?

Answers

Answer:

60

Step-by-step explanation:

hope it helps!

Please help me with all 6 questions ASAP DUE SOON AND SHOW WORK !!!!

Answers

Answer:

654 mutiply 78 plus is 28

Answer:

7. V = pi(r)^2(h)

   V = pi(7)^2(20)

   V = 3078.76

8. Same formula as 7.

V = 502.65

10. Same formula again

V = 62.83

11. V = 4/3*pi(r)^3

    V = 4/3*pi(6)^3

    V = 904.78

what is 10^x=1/100?
solve for x

Answers

Answer:

10^x=1/100

10^x=10^-10

x=-10

Step-by-step explanation:

Find the y-intercept for the parabola defined by
this equation:
y=-6x² – 7x – 2
Separate the values with a comma.

Answers

Answer:

the y intercept will be the c value of the parabola so the y intercept is -2, (0,-2)

Step-by-step explanation:

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