Find the volume of a pyramid with a square base, where the side length of the base is 19. 3\text{ ft}19. 3 ft and the height of the pyramid is 16. 2\text{ ft}16. 2 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer 1

The volume of the square pyramid is 2011.4 ft². The result is obtained by multiplying the area of base by height of the pyramid, then dividing it by 3.

What is the volume of a pyramid?

A pyramid is a polyhedron that has one base and lateral faces with the vertex at the top of the pyramid. The shape of lateral faces is always a triangle. While, the shape of the base varies and is used to name the pyramid.

The volume of the pyramid can be expressed as

V = ⅓ Bh

Where

B = area of baseh = height of a pyramid

A pyramid with a square base has the side length of base of 19.3 ft. The height of the pyramid is 16.2 ft. Find the volume of the pyramid!

The area of base is

B = s²

B = 19.3 × 19.3

B = 372.49 ft²

The volume of the pyramid is

V = ⅓ Bh

V = ⅓ (372.49 ft²) (16.2 ft)

V = ⅓ (6034.338) ft²

V = 2011.446 ft²

V ≈ 2011.4 ft²

Hence, the volume of the pyramid with a square base is 2011.4 ft².

Learn more about pyramid here:

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Related Questions

if c% of a number is (a+b) what is the number

Answers

Answer:(a+b)/c ×100

Step-by-step explanation:

Let the number be "x"

According to the question,

X×C% = a+b

>> X × C/100 = a+b

So, x =(a+b)/c × 100

which even number is a prime number​

Answers

Answer:

2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

Answer:

Answer is 2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

I hope it's helpful!

Num projeto, o desenho de um jardim tem a forma de um triângulo retângulo onde a hipotenusa mede 4,5 cm. A escala utilizada foi de 1:200. Qual é o comprimento real desse lado do jardim (hipotenusa)? Apresenta a resposta em metros.

Answers

Answer:

9 metros

Step-by-step explanation:

Da pergunta acima

Fator de escala =

Medida correspondente: Representação do objeto

= 1: 200cm

Conseqüentemente:

1 cm = 200 cm

4,5 cm = x cm

x cm = 4,5 × 200 cm

x cm = 900 cm

O comprimento real deste lado do triângulo (hipotenusa) = 900cm

Pediram-nos para converter para metros

100cm = 1 m

900cm = xm

Multiplicação cruzada

100 cm × xm = 900 cm × 1 m

xm = 900 cm × 1 m / 100cm

xm = 9m

O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros

Use multiplication to solve the proportion. a/6 = 15/2

Answers

Answer:

[tex]\frac{a}{6}[/tex] = [tex]\frac{15}{2}[/tex]

2a = 6 · 15

2a = 90

a = 45

Step-by-step explanation:

Write a proportion for brainliest

Answers

Answer:

B) [tex]\frac{WV}{VY} =\frac{VX}{XY}[/tex]

Step-by-step explanation:

The triangle VXY and triangle VWY are similar because they are both right triangles. Option B shows the correct proportions based off of this. Line WV is similar to line VX and line VY is similar to line XY.

I hope it helps and is correct!

could someone pleaseee help me :)

Answers

Answer:

1st one

Step-by-step explanation:

Answer:

a = 24

a = 150

a = 66

Step-by-step explanation:

your welcome

There are 150 adults and 255 children at a zoo. The zoo makes a total of $4,500 from the entrance fees, and the cost of an adult and a child to attend is $23. how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $​

Answers

Answer:

y+x=31, 150x+225y=5100.

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)Step-by-step explanation:

Answer:

Parent: $25

Child: $6

Step-by-step Explanation:

y+x=31, 150x+225y=5100

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)

I hope this helped :D

Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12

A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.

Answers

Answer none of them it’s 12-4=8

Answer:

D.) Add 12+4

Step-by-step explanation:

I took the test on Edge 2021.

Which Paris of triangle must be similar?

Answers

Triangles 1 and 2 are equilateral

PLEASEEEEEE!!! help with this
PLEASE EXPLAIN HOW TO DO THIS LIKE IN STEPS AND EVERYTHING

Explain, in detail, the steps on how to factor the following trinomial.
3x^2+5x +2

Answers

Answer:

(3x+2)(x+1)

Step-by-step explanation:

Given the quadratic equaton;

3x^2+5x +2

Factorize

(3x^2+3x+)(2x+2)

Factor out the common value from each bracket

3x(x+1) + 2(x+1)

3x+2(x+1)

Hence the factored form is (3x+2)(x+1)

Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g​

Answers

Answer:

If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.

Hope this helps.

2horas 3 minutos 47 s as​

Answers

Answer: I dont understand.

Step-by-step explanation:

The table shows two linear functions and the function values for different values of x.
Which expression represents h(x)?
A. (f ∙ g)(x)
B. (g + f)(x)
C. (f – g)(x)
D. (g – f)(x)

Answers

Answer:

the answer is A. (f ∙ g)(x)

Step-by-step explanation:

i got it wrong twice, and then it told me the answer

Answer:

its   A

Step-by-step sussy vent imposter baka :)  ;0

Is the following triangle congruent by SAS, ASA, or SSS? Why?

Answers

Answer:

ASA

Step-by-step explanation:

As it is shown

m<A = m<Z

m<Y = m<C and

|YZ| = |AC| so the triangles are congruent by ASA

Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?

Answers

Answer:

2.88

Step-by-step explanation:

An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?

Answers

Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,

        Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

Learn more to get the center of a segment joining two points here,

https://brainly.com/question/10677252?referrer=searchResults

The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it

Answers

Answer:

around 37%

Step-by-step explanation:

120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6

if im being honest i used calculator . net's percentage calculator

Factor x⁴y² + x³y³.
A. x 3y 2(x + y)

B. x³y² (x + 1 )

C. x²y² (x + y)​

Answers

Answer:

A..........,..,......

Step-by-step explanation:

....,.............

Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister.

Answers

Answer:

The answer is 17 19 and 21

hope i could help!

A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds

Answers

Answer:

Part A: 6

Part B: 3

Step-by-step explanation:

trust me.

Answer:

6 seconds

After 3 seconds

Step-by-step explanation:

h(t) =-16t^2+96t

a=-16

b=96

c=0

96/2(-6) =3

Max = 3

(0,)

(6,0)

ht/t  = 16t^2+96/t

I need a lot of heeelp pleaseee

Answers

Answer:

i think its mn

Step-by-step explanation:

its the 2 close to qs

Find x ( transversals relations )

Answers

Answer:

x = 12

Step-by-step explanation:

(8x - 34) and (5x + 2) are alternate angles and congruent, then

8x - 34 = 5x + 2 ( subtract 5x from both sides )

3x - 34 = 2 ( add 34 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Quincy has box of cereal to eat over 6 days. If he splits the box into equal portions, how much will he eat each day?​

Answers

Answer:

1/6 of the cereal box

Step-by-step explanation:

multiple choice geometry question helppp

Answers

COS = Adjacent / Hypotenuse

CosZ = 24/30

If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers

Answers

Answer:

Step-by-step explanation:

If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers

Let us represent:.

First number = x

Second number = y

If the sum of two numbers is 4

= x + y = 4

x = 4 - y

The sum of their squares minus three times their product is 76

x² + y² - 3xy = 76

We substitute 4- y for x

(4 - y)² + y² - 3(4 - y)y = 76

(4 - y)(4 - y) + y² - (12 - 3y)y = 76

16 - 4y - 4y - y² + y² - 12y - 3y² = 76

16 -20y - 3y² = 76

3y² + 20y - 16 + 76 = 0

3y² + 20y + 60 = 0

what is 10% of $10
Pls i need help

Answers

Answer:

1 dollar

Step-by-step explanation:

1 dollar is one tenth of a dollar ie 10%

Answer:

the answer is $1.

Step-by-step explanation:

- convert 10% into decimal form, which is 0.10

- then multiply 0.10 to 10

- that would equal to 0.10x10=1

45x^4 + 72x^3 is factored form

Answers

Answer: 9 x 3 ( 5 x + 8 )

Step-by-step explanation:

Factor  9 x 3  out of  45 x 4 + 72x 3 .

need help asap! will give brainliest<3

Answers

Answer:

(B)

Step-by-step explanation:

What is the difference?

Answers

Answer:

I WAS WRONG PICK D

Step-by-step explanation:

I'm an idiot

Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.

Answers

Answer:

Total time Shirley spent  going and coming back from the mall= 152.5 minutes

Step-by-step explanation:

Usual time it takes to reach mall from home = 40 minutes

New time she took to reach the mall=12.5 minutes later than her usual time

= 40 minutes + 12.5 minutes= 52.5 minutes

New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes  + 80 minutes

=100 minutes

Total time  going and coming back from the mall =52.5 minutes  +100 minutes = 152.5 minutes

Other Questions
Read the excerpt from the story Penguin Parade: An Antarctic Adventure:We boarded a flight from Orlando, Florida to Buenos Aires in Argentina. We would board a ship that would take us from Argentina to the remote Snow Hill Island in the Weddell Sea. Mom slept for the whole plane ride, but I stayed awake and researched penguins that live in Antarctica on my phone. I hadn't realized how many penguins didn't live in cold areas like Antarctica. There was a boy sitting across the aisle from me. He was reading a book about sharks, which was pretty neat. "Hey," I whispered to the boy, so I wouldn't wake up my mom. "Where are you heading?" He said nothing at first and gave me a funny look. "Argentina, obviously," he said sarcastically as he turned the page in his book. I felt a bit awkward and glanced back at my phone. He didn't seem very friendly. After a while, he closed his book and turned toward me. "Hey, I'm Steven. What's your name?" he asked. He smiled at me. "Sorry. I can be weird around new people. ""I'm Sally. We're heading to Argentina, too, but only so that we can get on a ship to Antarctica. We are going to see the emperor penguins and their chicks. "Steven's eyes lit up. We talked for a while about Antarctica, and then he mentioned that after visiting Argentina, he was headed to the Galapagos Islands to swim with the sharks. I told him that penguins lived there as well. Steven's parents were biologists, and his dad specialized in studying endangered species. We exchanged email addresses so that we could update each other on our travels. He promised to send me some pictures of the Galapagos penguins that live there, and I promised to send him pictures of the emperor and Adlie penguins. It was great to meet Steven and share our love of travel and animals. Finally, we landed in Argentina, and it was time to get off the plane. Mom and I needed to find our way to the ship. Penguin Parade: An Antarctic Adventure introduces Steven, from the story Swimming with Sharks: A Galapagos Adventure, as he and Sally meet on the plane. Both are preparing for their trip during the flight. Which of the following statements best describes how each character is using the flight for the trip? In Penguin Parade: An Antarctic Adventure, Sally is nervous about the flight. In Swimming with Sharks: A Galapagos Adventure, Steven is enjoying the flight. In Penguin Parade: An Antarctic Adventure, Sally is reading about penguins on her phone. In Swimming with Sharks: A Galapagos Adventure, Steven is reading a book about sharks. In Penguin Parade: An Antarctic Adventure, Sally reads about penguins on her own. Swimming with Sharks: A Galapagos Adventure, Steven has learned about the sharks from his mother. In Penguin Parade: An Antarctic Adventure, Sally relies on her mother to teach her about penguins. 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