what is the volume of this right triangular pyramid?

What Is The Volume Of This Right Triangular Pyramid?

Answers

Answer 1

Answer:

2736

Step-by-step explanation:

Formula is 1/3 x base area x height

Answer 2

The volume of the right triangular pyramid is [tex]\(2736 \text{ cm}^3\).[/tex] Therefore, option a is correct.

To find the volume of a right triangular pyramid, you can use the formula:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

The base area of a right triangular pyramid is given by the formula for the area of a triangle:

[tex]\[ \text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \][/tex]

Given the dimensions of the right triangular pyramid as [tex]\(36 \text{ cm}\), \(19 \text{ cm}\), and \(24 \text{ cm}\), we have:[/tex]

Base:[tex]\(19 \text{ cm}\)[/tex]

Height of the triangle: [tex]\(36 \text{ cm}\)[/tex]

Height of the pyramid: [tex]\(24 \text{ cm}\)[/tex]

First, let's find the base area:

[tex]\[ \text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 19 \times 36 \]\[ \text{Base Area} = \frac{1}{2} \times 19 \times 36 = 342 \text{ cm}^2 \][/tex]

Now, let's calculate the volume of the pyramid:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} = \frac{1}{3} \times 342 \times 24 \][/tex]

[tex]\[ V = \frac{1}{3} \times 342 \times 24 = 2736 \text{ cm}^3 \][/tex]

So, the volume of the right triangular pyramid is [tex]\(2736 \text{ cm}^3\).[/tex]


Related Questions

Pia a circumference of approssimately 75 inches
What is the approximate length of the radius,
for 2. Round to the nearest inch
Use 3.14
12 inches
24 inches
38 inches
46 inches

Answers

Answer:

radius: 12 inches or OPTION A

Step-by-step explanation:

C = 2r × 3.14

75 = 2r × 3.14

23.885 = 2r

r = 11.94

Find the area of a polygon using the given apothem
Plz anwser, will mark brainest!!

Answers

Given that these are all regular, 4 is 173.7. 5 is 98.7. 6 is 90.8.

A turtle challenges the greek warrior to race outside the gates of Troy. Achilles accepts. The turtle and Achilles start from the gates of Troy and race in a straight line away from the city. They keep a constant speed throughout the race. During the race, Achilles is f meters from the gates while the turtle is only g meters from the gates.

Answers

Answer:

B

Step-by-step explanation:

khan

o
Which description can be written as the expression 66+5?
the difference of six times a number and five
O the sum of six times a number and five
0 the quotient of six times a number and five
the product of six times a number and five

Answers

The answer would be the sum of six times a number and five because sum means addition!

I hope this helped! Mark me Brainliest! :) -Raven❤️

Answer:

B

Step-by-step explanation:

When he was born, Cooper's
grandparents put $2,000 in a college
fund. The fund earns interest at 2.1%
compounded annually. Yesterday was
Cooper's 18th birthday. How much money
is in the account now?
A $2,907.32
C $2,756.00
B $2,838.96
D$2,698.18

Answers

A is the answer A is the answer A is the answer A is the answer

Organizar de menor a mayor las fracciones 1/2 1/4 ,3/4,,1

Answers

Answer:

1/4, 1/2, 3/4, 1

Answer: 1/4,1/2.3/4,1

Step-by-step explanation:

1/4=0.25

1/2=0.50

3/4=0.75

1=1

Convert 5/4 into minutes

Answers

Answer:

75 minutes

Step-by-step explanation:

1 /4 = 15 minutes

15 x 5 = 75

hope i helped

how do you write 6.1 x 10^2 in standard form

Answers

The expression [tex]6.1 \times 10^2[/tex] in standard form is 610

How to write the expression in standard form

From the question, we have the following parameters that can be used in our computation:

[tex]6.1 \times 10^2[/tex]

To write [tex]6.1 x 10^2[/tex] in standard form, we need to convert it into a regular number.

using the above as a guide, we have the following:

[tex]6.1 * 10^2 = 6.1 * 100[/tex]

Evaluate

[tex]6.1 * 10^2 = 610[/tex]

Hence, the expression in standard form is 610

negative 8/9 divided by 2/3

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Step 1:  Divide

[tex]\frac{8}{9} / \frac{2}{3}[/tex]

[tex]\frac{8}{9} * \frac{3}{2}[/tex]

[tex]\frac{8 * 3}{9 * 2}[/tex]

[tex]\frac{24/6}{18/6}[/tex]

[tex]\frac{4}{3}[/tex]

Answer:  [tex]\frac{4}{3}[/tex]

what’s the size of the missing angle

Answers

Answer:

Option D, 44

Step-by-step explanation:

Step 1:  Find the size of the missing angle

All triangles add up to 180 degrees.

[tex]106 + 30 + x = 180[/tex]

Step 2:  Combine like terms

[tex](106 + 30) + x = 180[/tex]

[tex]136 + x = 180[/tex]

Step 3:  Subtract 136 from both sides

[tex]136 + x - 136 = 180 - 136[/tex]

[tex]x = 44[/tex]

Answer:  Option D, 44

Answer:

44

Step-by-step explanation:

106 + 30 = 136

180 - 136 = 44

test achievement series.com/asot.aspx
Alice wants her cat to lose some weight. If she wants her cat to lose weight at a rate of 2 lbs per month, which graph represents this rate of loss?
1
Cat Weight Loss
Cat Weight Loss
x
Weight (lbs)
öö
Weight (lbs)
0
5
# of Months
1 2 3 4
#of Months
Cat Weight Loss
Cat Weight Loss
L
ū8
right (lbs
ight (lbs)

Answers

The cat Weight loss
Cat weigh loss
X weight (lbs)

can 45/5 be simplified

Answers

45/5 Simplified

What is 45/5 Simplified? - 9/1 is the simplified fraction for 45/5. Simplify 45/5 to the simplest form. Online simplify fractions calculator to reduce 45/5 to the lowest terms quickly and easily.

Simplify 45/5

Fraction:  

 45

------

 5

45/5 Simplified

Answer:  

45/5 = 9/1 = 9  

Simplify 45/5

Simplify 45/5 reduces the fraction 45/5 to the lowest form. You can change the numerator or denominator to simplify any other fraction.

Help please, if you're a troll then don't come on here.

Answers

Answer:

If there are 16 pounds in one ounce, and you have 96 ounces then you must divide 96 by 16.  That would mean there are 6 pounds in 96 ounces.

Step-by-step explanation:

So to answer the blocks you must divide the number of ounces by the unit rate. There are 16 ounces per pound.

Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The table below shows the responses from four students.

Student Responses

Michele
3 t = 8
Piotr
6 t = 8
Ronnie
Negative 1 t = 8
Tanisha
9 t = 8

Which student wrote an equation that is equivalent to Mrs. McAlister’s?
Michele
Piotr
Ronnie
Tanisha

Answers

Answer:

Tanisha wrote an equation that is the same as Mrs. McAlister's equation.

9t = 8

Step-by-step explanation:

Mrs. McAlister wrote an equation on the board is:

10t-4t+3t=8

Now we simplify this

In order to simplify the left side, we combine like terms.

Here 10t, -4t, & 3t are like terms

So, 10t - 4t + 3t is equivalent to 9t

Thus,

9t = 8

This equation is written by the Tanisha.

That's the final answer.

I hope it helps you.

Answer:

Tanisha

Step-by-step explanation:

10t - 4t + 3t = 8    (given)

= 10t - 4t + 3t  = 8

= 9t = 8

This is what Tanisha wrote (9t = 8)

Hope this helps, and please mark me brainliest if it does!

What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
A. 7.5π cm^2
B. 8.625π cm^2
C. 10.5 π cm^2
D. 19.55π cm^2

Answers

The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     [tex]A=2\pi r h + 2\pi r^{2}[/tex]......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   [tex]r=\frac{d}{2}[/tex]

                      = [tex]\frac{1.5}{2}[/tex]

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × [tex]\pi[/tex] × 0.75 × 5 ) + ( 2 × [tex]\pi[/tex] × [tex]0.75^{2}[/tex] )

                      = ( 7.5 [tex]\pi[/tex] ) + ( 1.125 [tex]\pi[/tex] )

                  A = 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex]

Result:

        The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.

The surface area of a cylinder is 8.625π cm². Thus, the correct answer is B.

First, calculate the radius of the cylinder, which is half of the diameter:

r = 1.5 cm / 2

   = 0.75 cm

Next, find the area of the two circular bases of the cylinder using the formula for the area of a circle, A = πr²:

Area of one base = π(0.75 cm)²

                              = 0.5625π cm²

Total area of the two bases = 2 × 0.5625π cm²

                                              = 1.125π cm²

Then, calculate the lateral surface area using the formula for the circumference of a circle (C = 2πr) multiplied by the height (h):

Lateral surface area = 2π(0.75 cm)(5 cm)

                                  = 7.5π cm²

Finally, add the areas of the two bases and the lateral surface area to find the total surface area:

Total surface area = 1.125π cm² + 7.5π cm²

                              = 8.625π cm²

The correct answer is B. 8.625π cm².

Plzz ANSWER FAST AS SOON AS POSSIBLE!!!

Answers

Answer:

See below for answers

Step-by-step explanation:

Part 1:

Angle 1 is a supplementary angle, so it must be 180-50=130 degrees because supplementary angles add up to 180 degrees.

Angle 2 is a vertical angle, therefore it must be 50 degrees as well because vertical angles are congruent.

Angle 3 is vertical to angle 1, so it is 130 degrees since vertical angles are congruent.

Part 2:

x and 2x+21 are supplementary angles, so we can make an equation:

x+2x+21=180

3x+21=180

3x=159

x=53

So x=53

Answer:

1 = 130

2 = 50

3 = 130

4 = x = 53

Step-by-step explanation:

angle 2 is congruent to 50 degrees

1 and 3 are congruent

1 and 2 are supplementary

3x+21 = 180

3x = 159

x = 53

The temperature at the top of a mountain is 10.8°C less than the
temperature at the base of the mountain. If the temperature at the
base is -4.4°C. what is the temperature at the top? *

Answers

Answer:

-15.2°C

Step-by-step explanation:

-4.4 - 10.8 = -15.2

Hope this helps <3

The temperature at the top of the mountain is -15.2°C.

The solution to the problem:

Given:

The temperature at the base of the mountain is -4.4°C.

The temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain.

Objective:

Determine the temperature at the top of the mountain.

Solution:

Let x be the temperature at the top of the mountain. We know that the temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain, so we can write the following equation:

x = -4.4 - 10.8

Simplifying the right side of the equation, we get:

x = -15.2°C

Please help and explain if you can

Answers

Answer:

Step-by-step explanation:

There are two ways to find the value of m∠ ABT

By using trigonometric ratio:

1 - Draw a perpendicular AT

2 - Now the Δ ABT is a right-angle triangle. therefore by using trigonometric ratio

Sine X = Perpendicular / Hypotenuse

Sine X = AT/AB

X = Sine-1 AT/AB.

others ratio can also be used i.e cos x & tan x.

By using Circle Properties

1 - find the radius then the chord AB  

Solve the following equation.

5x+23=53

A) x=5
B) x=6
C) x=1
D) x=7

Answers

Answer:

6

Step-by-step explanation:

5×+23= 53

5×+23-23= 53-23

5x=30

30÷5=6

Answer:

The answer is B.

Step-by-step explanation:

The easiest way to solve these is by taking the total number/ 53 and subtracting it by the number you do know/ 23. In this case you would get 30. Then you multiply 5 to get 30. Which is 6.

I need the answer for p

Answers

Answer:

D, a = 13

Step-by-step explanation:

A is larger than 12 and the only number bigger than 12 on that paper is 13.

An internet company, K-mobile, charges $60 per month for use of up to 100 hours but then charges $100 per month for 100 hours and more. Another company, AK & K, charges $1.50 per hour of use. When is the K-mobile a better deal?

Answers

The k mobile is a better deal after 100 hours.

What are the coordinates of the image ABC after a dilation with center (0,0) and a scale factor of 1/2? HELP ASAP

Answers

Answer:

A: 1,1 B: 2,3 C;3,1

Step-by-step explanation:

Divide each number by 1/2 or times by .5

NEED HELP ASAP! 10 points

Answers

Answer:

C. 6 gallons < 25 quarts.

E. 80 pints = 40 quarts.

Step-by-step explanation:

A. There are 8 fluid oz in 1 cup.

Multiply 8 with 6:

6 cups x 8 = 48 fl oz.

44 fl oz < 48 fl oz ∴ A. is false.

B. There are ~6.67 pints in 1 gallon.

Multiply 6 gallon with 6.67:

6 gallon x 6.67 = ~40.02 pint.

47 pint > 40.02 pint ∴ B. is false.

C. There is 4 quarts in 1 gallon.

Multiply 6 gallons with 4:

6 gallon x 4 = 24 quarts.

24 quarts < 25 quarts ∴ C. is true.

D. There is 4 cups in 1 quarts.

Multiply 7 with 4 and add 4:

7 quarts x 4 = 28 + 4 = 32

32 cups < 34 cups ∴ D. is false.

E. 1 quart = 2 pint

You are given 80 pints:

80/2 = 40 quarts ∴ E. is true.

~

What is 9/72 in simplest form

Answers

Answer:

[tex]1/8[/tex]

Step-by-step explanation:

Step 1:  Divide both top and bottom by 9

[tex](9/9) / (72/9)[/tex]

[tex](1) / (8)[/tex]

[tex]1/8[/tex]

Answer:  [tex]1/8[/tex]

Answer: the answer is 1/8

Step-by-step explanation:

Ok use a Calculator to help you.

What’s is the solution
4x-12y=-8
-3x+12y=12

Answers

The solution to the system of equations is x = 4 and y = 2.

Let's solve the system of equations:

4x - 12y = -8

-3x + 12y = 12

We can solve this system using the method of addition or elimination. Adding the two equations eliminates y:

(4x - 12y) + (-3x + 12y) = -8 + 12

Simplifying:

4x - 3x = 4

x = 4

Now that we have found x = 4, we can substitute this value back into one of the original equations to solve for y. Let's use the second equation:

-3x + 12y = 12

-3(4) + 12y = 12

-12 + 12y = 12

12y = 12 + 12

12y = 24

y = 24 / 12

y = 2

1. Points A and B are in the first quadrant in the coordinate plane. What might be their coordinates?
2. Points D and E are in the second quadrant in the coordinate plane. What might be their coordinates?
3. Points G and H are in the third quadrant in the coordinate plane. What might be their coordinates?
4, Points J and K are in the fourth quadrant in the coordinate plane. What might be their coordinates?
5. Points M and N are on the y-axis in the coordinate plane. What might be their coordinates?
6. Points Q and Rare on the x-axis in the coordinate plane. What might be their coordinates?

Answers

Quadrant one: positive x and positive y. (5,6)

Quadrant two: negative x and positive y. (-5,6)

Quadrant three: negative x and negative y. (-5,-6)

Quadrant four: positive x and negative y. (5,-6)

the y-axis goes up and down so im guessing the x coordinates will be 0 and the y will be whatever you want it to be. the same goes for the x-axis excepted switched around.

Apologies if I got any of these wrong, and please comment if you are confused so I can explain more.

1.) First quadrant: x > 0, y > 0.

2.) Second quadrant: x < 0, y > 0.

3.) Third quadrant: x < 0, y < 0.

4.) Fourth quadrant: x > 0, y < 0.

5.) On y-axis: x = 0, y ≠ 0.

6.) On x-axis: x ≠ 0, y = 0.

1.) Points in the First Quadrant: In the first quadrant, both x and y coordinates are positive. Therefore, the coordinates of points A and B might be of the form (x, y) where x > 0 and y > 0. For instance, point A might be (3, 4) and point B might be (5, 7).

2.) Points in the Second Quadrant: In the second quadrant, x coordinates are negative and y coordinates are positive. Thus, the coordinates of points D and E might be of the form (-x, y) where x > 0 and y > 0. For example, point D might be (-2, 3) and point E might be (-6, 8).

3.) Points in the Third Quadrant: In the third quadrant, both x and y coordinates are negative. Therefore, the coordinates of points G and H might be of the form (-x, -y) where x > 0 and y > 0. For instance, point G might be (-4, -5) and point H might be (-7, -9).

4.) Points in the Fourth Quadrant: In the fourth quadrant, x coordinates are positive and y coordinates are negative. Thus, the coordinates of points J and K might be of the form (x, -y) where x > 0 and y > 0. For example, point J might be (3, -2) and point K might be (8, -5).

5.) Points on the Y-Axis: Points on the y-axis have x coordinates equal to 0, and their y coordinates can be positive or negative. Thus, the coordinates of points M and N might be of the form (0, y). For instance, point M might be (0, 4) and point N might be (0, -7).

6.) Points on the X-Axis: Points on the x-axis have y coordinates equal to 0, and their x coordinates can be positive or negative. Thus, the coordinates of points Q and R might be of the form (x, 0). For example, point Q might be (5, 0) and point R might be (-3, 0).

What is 0.05% of 400? Round to the nearest hundredth (if necessary).

Answers

Answer:

.2

Step-by-step explanation:

Whenever we see "of," we know we have to multiply.

.05% = .0005 in decimal form, so

.0005 * 400 = .2

Answer:

.2

Step-by-step explanation:

hope this helps

stay safe :)))

brainliest is appreciated

there is someone who keeps reporting my answers, copying them, and accusing me of doing it and their name is nasa619 so im sorry if that happens :((

A playground has perimeter of 5225 ft what is the perimeter in yards?

Answers

Answer:

1741.67 yards

Step-by-step explanation:

recall that 1 yard is 3 feet

or

1 foot = 1/3 yards

hence,

5225 feet = 5225 x (1/3) = 1741.67 yards

Answer: 1741.67 yards.

Step-by-step explanation:

Since 3 feet ia a yard, divided 5225 by 3. You get 1741.67. Hope this helps!

The scale on a map is 1 cm = 30 km. The map distance between two towns is 3.5 cm.
What is the actual distance between the two towns?

Answers

Answer:

The actual distance between the two towns is 105 km

Step-by-step explanation:

Lets use a proportion for this scenario

1/30 = 3.5/?

We see that the numerator is multiplied by 3.5, from 1 to 3.5

So we do the same to the denominator

30 x 3.5 is 105 km

So your answer is 105 km

Answer:105 km

Step-by-step explanation:hope this help u

Last month Margo bought a tree that grows 2.5cm each day. It was 5 cm talk when she bought it and now it is 65 cm tall

Answers

if it’s asking how old was it when she bought it, it was two days old

if not then you gotta be more specific but i’m gladly able to help if you provide more info

if it’s asking how long it’s been exactly since she bought it then the answer is it has been 26 days
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