The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.
What is the volume of the pyramid in cubic centimeters?

Answers

Answer 1

Answer:

volume = 13500 [tex]cm^{3}[/tex]

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid = [tex]\frac{lwh}{3}[/tex]

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume = [tex]\frac{30*30*45}{3}[/tex]

            = [tex]\frac{40500}{3}[/tex]

            = 13500

volume = 13500 [tex]cm^{3}[/tex]

The volume of the pyramid is 13500 [tex]cm^{3}[/tex].

Answer 2

The volume of the square-based pyramid is [tex]13500cm^3[/tex]

The volume of a pyramid is given by

[tex]V=\dfrac{Ah}{3}[/tex]

where

[tex]A=\text{area of the square base}\\h=\text{perpendicular height}[/tex]

The area of the square base, [tex]A[/tex], is calculated as follows

[tex]A=side^2\\=(30cm)^2\\=900cm^2[/tex]

substitute the value of [tex]A[/tex], and [tex]h[/tex] ([tex]45cm[/tex]) into the volume formula to calculate the pyramid's volume

[tex]V=\dfrac{Ah}{3}\\\\=\dfrac{900\times 45}{3}\\\\=13500cm^3[/tex]

Therefore, the volume of the pyramid is [tex]13500cm^3[/tex]

Learn more about volume of pyramids here: https://brainly.com/question/1260835


Related Questions

Find the mean of this set of numbers 42,78,81,23,12

Answers

Answer:

47.2

Step-by-step explanation:

add all the numbers(42,78,81,23,12) then divide by the total amount of numbers(5) which will result in it being 47.2.

Answer:

47.2

Step-by-step explanation:

Total Numbers in Set:  5

Mean (Average):  47.2

Median (Middle):  42

Mode (Most Common):  No Mode of this set

Range (Biggest - Smallest):  69

Ascending Order:  12,23,42,78,81

Decending Order:  81,78,42,23,12

Even Numbers:  12,42,78

Odd Numbers:  23,81

What is the volume of a rectangular prism with a height of 5 meters and a base with area 19 square meters?

Enter your answer in the box.

Answers

the answer should be 95m^3

What is the simplified value of the exponential expression 27 1/3

Answers

Answer:

3

Step-by-step explanation:

3х + 4y = - 23
х = 3y+1
Solve systems of equations!

Answers

Answer:

[tex]3(3y + 1) + 4y = - 23 \\ 9y + 3 + 4y = - 23 \\ 9y + 4y = - 23 - 3 \\ \frac{13y}{13y} = \frac{ - 26}{13} = - 2[/tex]

How come two negatives make a positive, but three negatives makes a negative? Does this have to do with there being an odd/even amounts of negatives and cancelling each other out?

Answers

Okay well work step by step. If there is three negatives, you first want to multiply the first two negatives. Your number will come out positive but you are still left with one more negative. so you will multiply the positive number with the negative number which comes out with a negative number.

PLEASE ANSWER ASAP. WILL GIVE BRAINLIEST

Answers

Answer:

I cant see that, its upside down.

Step-by-step explanation:

Solve the given equation for y. Enter DNE if there is no solution. Enter R if all numbers are the solution. 7y+5=6y+1.
How would I solve this?

Answers

Answer:

I think the answer is Y= -4. I'm not really sure what you are asking for though.

Step-by-step explanation:

7y + 5= 6y + 1

7y = 6y - 4

y = -4

I hope this helps!


please help me this is due in 10 minutes i’ll give brainlyist

Answers

Answer:

y=125x+500

Step-by-step explanation: plug the values into x and it's that equation

A couch was originally priced at $800.00. The sale price is 25% off. Find the discount.

Answers

Answer:

The price after the discount is $600

The amount discounted off is $200

Step-by-step explanation:

A plane starts at the origin of the coordinate plane The plane flies 0.5 units left and 3.5 units up to point X. What are the coordinates of point X?​

Answers

Answer:

(-0.5, 3.5)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 10 chores, and $16 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form.

Answers

Answer:

y=1/2x+12

Step-by-step explanation:

Answer:

y = 2x + (-30)

Step-by-step explanation:

Find the slope, then find the y-intercept.

But that is for if the points are, (20,10) and (16,2)

If you were finding the equation for the points, (10,20) and (2,16) the equation would be y = 0.5x + 15

Why I don't have information to find the missing lengths? ​

Answers

Answer:

yes

Step-by-step explanation:

Ask your teacher. Or is that what you need answered

what has the greatest value 3/10 or 1/2 or 2/5

Answers

Answer:

1/2, 2/5, 3/10 is the order

Step-by-step explanation:

create common denominators then you can tell by the numerator.

3/10=3/10

1/2=5/10

2/5=4/10

1. g(x) = -2(x + 3) 2 - 1
Identify the a,h,k and vertex for each quadratic function

Answers

9514 1404 393

Answer:

  a = -2, h = -3, k = -1

  vertex = (-3, -1)

Step-by-step explanation:

Compare the given equation ...

  g(x) = -2(x +3)² -1

to the vertex form ...

  g(x) = a(x -h)² +k

You see that ...

  a = -2

  -h = +3  ⇒  h = -3

  +k = -1  ⇒  k = -1

The vertex is (h, k), so is ...

  vertex = (-3, -1)

Factor the expression using the greatest common factor

2x + 10 =

Answers

Answer:

2(x+5)

Step-by-step explanation:

2x+10

1.Factor our the 2 from the equation

2.Your answer after will be 2(x+5)

Answer:

Step-by-step explanation:

Which equation represents 4x – 3y = 15 when solved for y

Answers

Answer:

y=4/3x-5

Step-by-step explanation:

4x-3y=15

-4x      -4x

______________

-3y=-4x+15

----    ---  ----       (divide all by -3)

-3     -3   -3

y=4/3x-5

Please help me out with this one

Answers

Answer:

The slope of the line = m = 3

Step-by-step explanation:

Given the table

x           3          6            8           12

y           7          16          22          34

Taking any two points let say (3, 7) and (6, 16)

(x₁, y₁) = (3, 7) (x₂, y₂) = (6, 16)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [16 - 7] / [6 - 3]

                  = 9 / 3

                 = 3

Therefore, the slope of the line = m = 3

What is the slope of 7; (4 -30)

Answers

Answer:

Can you restate the question, it is hard to solve with typos.

If you would like, it would also help to attach an image or picture of the question.

3,1,-2,-4,-1, least to greatest

Answers

-4 -2 -1, 1 3 hope it helps

Answer:

-4, -2, -1, 1, 3

Step-by-step explanation:

Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:

When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:

-1, -5, -8, -3, and -2

To find out what the order is from least to greatest, you do this:

take the negative sign off

1,5,8,3, and 2

then put them in order from least to greatest

so its

1, 2, 3, 5, 8

Then flip it so its from greatest to least

so its

8,5,3,2,1

Now put the negative signs back

making it:

-8, -5, -3, -2, and -1

That is how you find out what the numbers are from least to greatest.

Hope this helps!

PS. You should eat chicken nuggets because they are good

5. Given the function f(x) = 3(1.55)x.
a. Does the above exponential function represent exponential growth or decay?
b. State the percent increase of the above function.
c. State the growth factor (or multiplier) of the above function.
d. What is the initial amount of f(x)?

Answers

Answer:

it  A ;)

Step-by-step explanation:

In the diagram below AB is parallel to CD what is the value of x

Answers

The value of x is 150°. The correct option is D. 150°

Calculating angles

From the question, we are to determine the measure of angle x

In the given diagram, we can observe that  

The angle supplementary with x is 30° (Alternate angles theorem)

Thus,

x + 30° = 180° (Supplementary angles)

x = 180° - 30°

x = 150°

Hence, the value of x is 150°. The correct option is D. 150°

Learn more on Calculating angles here: https://brainly.com/question/12060386

#SPJ1

Bill is h cm tall. Sienna is 4 cm taller than Bill. What is the expression in terms of h for sienna height in centimeters.

Answers

The expression in terms of h for siennas height would be h+4 because sienna is 4 cms taller than bill and bills height is equal to h
It’s 4 the question said it

Help me please BRAINLIEST In the drawing below, ABC is similar to NPM. Which ratio correctly represents the relationship between the lengths of the sides of the triangles?
a, b, c, or d please help me thank you

Answers

Answer: A

Step-by-step explanation:

Kathy jumped 16 1/2 ft at the long jump event. Nadia jumped 18 1/8 ft at the long jump. How much farther did Nadia jump than Kathy?

Answers

Answer:

12 ft

Step-by-step explanation:

First you do 16 x 2 +1 and you get 133, second you do 18 x 8 +1 = 145 third you need to subtract  145 - 133, and you get 12 feet.

Hope this helped.

Plz help a real one out

Answers

Answer:

Correct answer is A

Step-by-step explanation:

44.72+57.12 = 101.54

180-Ans

= 78.46

Evaluate when x = -3 and y= -1:

Answers

Answer:

-3 + -1

Step-by-step explanation:

Convert 4.2% to an
equivalent decimal.

Answers

Answer:

0.042

Step-by-step explanation:

divide by 100

Remember:

To convert a Decimal to Percent, you multiply the decimal by 100

To convert a Percent to a Decimal, you divide by 100

Answer:

0.042

Step-by-step explanation:

[tex]4.2/100 = 0.042[/tex]

Volume?? Please help giving out brainliest and 12 points for answering

Answers

Answer:

1395

Step-by-step explanation:

Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid

volume of rectangular prism is 15·9·7=945

volume of pyramid is (15·9·10)/3=450

add

450+945=1395

If the sales tax rate is 7% in Texas, then how much would you pay in Houston for a coat that cost $32.00?​

Answers

Answer:

$34.24

Step-by-step explanation:

multiply 32 by 0.07 and get 2.24 add that to 32

HELP I WILL GIVE YOU 20 POINTS

Answers

Maby c I may be wrong
I believe the answer is C
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