What is the volume of a pyramid that has the same base and height if a prism has a volume of 45 m cube?

Answers

Answer 1

The volume of a pyramid that has the same base and height if a prism has a volume of 45 m cube is 15 cu. m.

In this question we have been given the volume of a prism which is of 45 m cube.

we need to find the volume of a pyramid that has the same base and height.

We know that the formula of the volume of prism is:

V = base area * height of prism  

From given, V = 45 m^3

But as we know prism and pyramid have same base area and height.

We know that the formula for the volume of pyramid.

volume of pyramid = 1/3 * base area * height

volume of pyramid = 1/3 * V

volume of pyramid = 1/3 * 45

volume of pyramid = 15 cubic meter

Therefore, the volume of pyramid is 15 m^3

Learn more about the volume of a pyramid here:

https://brainly.com/question/17615619

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Related Questions

Find the 8th term of the geometric sequence 3, 9, 27, ...

Answers

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

Common ratio r = 3First term a = 3n = 8

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561

If you know the whole sheet that would be best!!!!!

Answers

Answer:

Step-by-step explanation:

Mskwosjdbeiecdbf

I’m not sure if this is right but I believe the first one is 307.72

find the value of y.

Answers

76! its because its a vertical to the other 76

Writing the Standard Form of a Line
Try it
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point
slope form is y + 1 = 2/3 (x – 8).
____x + ____y = ____

Answers

Answer:

[tex]2x-3y = 19[/tex]

Step-by-step explanation:

In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:

[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]

What is this transformation?
(x, y) ----> (-x, y)
Reflect over the x
axis
slide left 1
Slide down
Reflect over the y-
axis

Answers

Answer:

Reflection over the y-axis

Step-by-step explanation:


The original price of a packet of potato chips was $2.50. Now, 5 packets of potato
chips are sold at $10. What is the percentage discount of buying 5 packets of potato
chlps?​

Answers

Answer:

it would be 20% off

Step-by-step explanation:

HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Please help me on the questions attached

Answers

Answer:

There are no questions attached.

Step-by-step explanation:

HELP DUE IN 15 MINS!
Solve for x in the parallelogram below:

X=??

Answers

Answer:

x = 4

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180°, so

14x + 6 + 118 = 180

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

Answer:

x = 4

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary

14x + 6 + 118 = 18014x + 124 = 18014x = 180 - 12414x = 56x = 56/4x = 4

A trapezoid has a height of 6 inches, an area of 120 inches, and one base measuring 14 inches. Find the length of the other base

Answers

Answer:

26 inches

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}[/tex](a + b) x h

a and b = 2 parallel sides

h = height

120 = 0.5(14 + b) x 6

120 = 3 x (14 +b)

Divide both sides of the equation by 3

120/3 = 14 + b

40 = 14 + b

Collect like terms

b = 40 - 14 = 26inches

If correct I’ll give brainlist

Answers

Answer:

4/-2 = -2/1 = -2

y = -2x - 16

28% of the fish in a pond are sunfish. If there are 150 fish in the pond, how many are sunfish

Answers

Answer:

The answer would be 42 .

Step-by-step explanation:

Good luck ^.^

Find a30 of the arithmetic sequence:

−17,−7,3,13,...

Answers

Answer:

a₃₀ = 273

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 17 and d = a₂ - a₁ = - 7 - (- 17) = - 7 + 17 = 10 , then

a₃₀ = - 17 + (29 × 10) = - 17 + 290 = 273

HELP ASAPPPP!!! Question in pic. Find the value of x

Answers

Answer:

x = 14

Step-by-step explanation:

30 = 3x - 12 (vertically opp)

30 + 12 = 3x

42 = 3x

42÷3 = x

14 = x

What is the sum of the interior angles of the polygon pictured below?

Answers

Answer:

37

Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY  I TIRED

Help me I’ll mark brainliest!!!!!!!

Answers

Answer:

1 first you would find the volume of the pryimid which is-

27in²

2 then you'd find the volume of the rectangular prism which is-

108in²

3 then you add the two together-

27in² + 108in² = 135in²

brainliest ;)

How many times bigger is 3,136 than 972 in percentage form

Answers

Answer:

30.99

Step-by-step explanation:

Natalie invests $5,632 in a retirement account with a fixed annual interest rate of 2% compounded 12 times per year. What will the account balance be after 16 years?

A) $8,398.46

C) $7,753.92

B) $8,610.85

D) $7,910.43

Answers

Answer:

C) $7,753.92

Step-by-step explanation:

Given data

Principal= $5,632

Rate=2%

n= 12

Time = 16 years

The expression for compound interest is

A=P(1+r/n)^nt

substitute

A= 5632(1+0.02/12)^12*16

A=5632(1+0.02/12)^12*16

A= 5632(1+0.00166)^12*16

A= 5632(1.00166)^12*16

A= 5632(1.00166)^192

A=5632*1.375

A=$7744

Hence the approximate amount is C) $7,753.92

The base of a right rectangular pyramid has length 14 ​cm, width 12 ​cm, and height 13 cm. Describe a cross section that could be formed by a horizontal plane that intersects the faces of the pyramid above the base.

Answers

It would be a RECTANGLE proportional to the base of the pyramid.

HEY BESTIES WHATS POPPIN IM BACK AND READY FOR ACTION PLZ HELP

Answers

Answer:

A.

Step-by-step explanation:

The slope increases from left to right.

Answer: Positive Slope

Step-by-step explanation:

If it’s from left to right in an upwards direction, it’s positive, if it’s left to right in a downwards directio, it’s negative

Find the output, kkk, when the input, xxx, is -5−5minus, 5.
k = 6x + 100k=6x+100k, equals, 6, x, plus, 100
k=

Answers

Answer:

70

Step-by-step explanation:

Answer:

k=70

Step-by-step explanation:

x=-5

k=6x+100

6X-5=-30

k=-30+100

100-30=100+-30=70

k=70

Also I did it on Khan :)

8. Coffee Country City Council has decided to build a new road to connect Main Street
and Lincoln Lane (see the drawing). If construction costs $25,000 per mile, how much
will it cost?
Main Stream
3 mil
Lincoln Ln
1.5 miles-
NEW ROAD

Answers

Answer:

easy just pull put calculator and add 25,000 with  3 mil

Step-by-step explanation:

Answer:

Cost 64951.91

Step-by-step explanation:

We are to assume that the new road and Lincoln Lane meat at right angles. If that is true we can use the Pythagorean Theorem.

Givens

a = 1.5 miles

b = ?

c = 3 miles

Cost per mile = 25000

Solution

a^2 + b^2 = c^2

1.5^2 + b^2 = 3^2

2.25 + b^2 = 9

b^2 = 9 - 2.25

b^2 = 6.75

sqrt(b^2) = sqrt(6.75)

b = 2.5981

Cost

1 mile costs 25000

2.5981 costs x

1/2.5981 = 25000 / x                 Cross Multiply

x = 2.5981 * 25000

x = 64951.91

Please help!! Explanation and answer please (:

Answers

Answer:

You can draw a model for your teacher if your teacher approves

Step-by-step explanation:

Try drawing a model

(7a-1)^2 please help me quickly

Answers

Answer:

14a-2

Step-by-step explanation:

Please someone help me... I have my state test tomorrow and I don't know how to do this.

Answers

Answer: 3.8

Step-by-step explanation:

First, solve 9.30 x 10^7 to find the length of an astronomical unit.

10^7 = 10000000

9.30x10000000=93000000 miles

next, solve for the distances the sun is from Jupiter and Mars,

10^8 = 100000000

1.42x100000000=142000000 miles

4.84x100000000=484000000 miles

next, subtract the distances

484000000-142000000=342000000 miles

then, divide the sum by 93000000 to find the amount in astronomical units.

342000000/93000000=3.677419

finally, round to the nearest hundred

3.68

What is the length of the unknown leg in the right triangle?

Answers

Answer:

15m

Step-by-step explanation:

a^2 + b^2 = c^2

a=?

b = 20m

c = 25m

a^2 + (20m)^2 = (25m)^2

a^2 + 400m^2 = 625m^2

a^2 = 625m^2 - 400m^2 = 225m^2

a = 15m

Answer:

The answer is 15

Step-by-step explanation:

Can someone please explain how to solve this? Thanks!

Answers

you would use the cos equation to answer this so it would be cos45= x/26 so when u type that into a graphing calculator the final answer would be x= 13 sqrt 2

Solve for x
please help me an explanation is not needed if you don’t want to add it !

Answers

Answer:

70˚

Step-by-step explanation:

Solve the triangle round al answers to 1 decimal
b = 6, A = 20°; - I just need Help finding a and c

Answers

Step-by-step explanation:

tan 20 = a/6

a = 6 tan 20 = 2.18 = 2.2

c = √(36+4.84)

c = √ 40.84

c = 6.38 = 6.4

Classify each triangle by its side lengths and angle measurements. Choose the two correct names

Answers

Answer:

isosceles

Step-by-step explanation:

An Isosceles triangle that has two sides of equal length.

Answer:

It is equilateral and acute

Equilateral because it has all sides equal

And

Acute because it has all angle inside 90 degree

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