A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15

Answers

Answer 1

Answer:

  c)  36√15 cm³

Step-by-step explanation:

We can compute the volume of the pyramid if we know the area of its base, and its height.

__

A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...

  A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base

__

Each triangular face will have a slant height that makes its area the same as that of the base.

  A = 1/2bh

  36 cm² = (1/2)(6 cm)h

  (36 cm²)/(3 cm) = h = 12 cm  . . . . .  divide by the coefficient of h

The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...

  (6 cm/2)² +h² = (12 cm)²

  h² = (144 -9) cm²

  h = 3√15 cm . . . . . height of the pyramid

__

The volume of the pyramid is given by ...

  V = 1/3Bh . . . . . . base area B, height h

Using the values we found above, we compute the volume to be ...

  V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³


Related Questions

If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7. 5 feet feet feet 30 feet.

Answers

The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.

Given :

The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

The following steps can be used in order to determine the length of the hypotenuse:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.

Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

Step 3 - So, the length of the hypotenuse is calculated as:

[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]

Step 4 - Simplify the above expression.

[tex]H =30\;{\rm ft}[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

brainly.com/question/21149612

Answer:

d

Step-by-step explanation:

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

1.25 customers / minute

Step-by-step explanation:

To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25

The graph shows the amount of rain that falls over time. Does the rain fall at a constant or variable rate? How much rain falls per hour?

thanks!​

Answers

Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.

Step-by-step explanation:

if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour

6x+ 14 <--28
AND
3r + 28 < 25

Answers

Answer:

what?

Step-by-step explanation:

10. Andrew has deposited $5500 ond has withdrawn $4800 Two times consecutively. Find the amount in his account.

Answers

Answer:

-4100

Step-by-step explanation:

STEP ONE:

5500-4800(2)

STEP TWO:

5500-9600

STEP THREE:

Get -4100.

So, the answer is -4100.

1)
Find the value of x.

Answers

x=8

Explanation:

the opposite side is 72, which means I have to make 9x end up equaling 72.

72÷9

////

72/9

=8

9×8=72

Therefore

the value of x is 8.

please help! (more info on photo)

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

Let's rearrange the terms to convert the equation into slope - intercept form ~

[tex] \sf3x - 2y = - 28[/tex]

[tex] \sf - 2y = - 28 - 3x[/tex]

[tex] \sf2y = 28 + 3x[/tex]

[tex] \sf y = \dfrac{28}{2} + \dfrac{3x}{2} [/tex]

[tex] \sf y = \dfrac{3}{2} x + 14[/tex]

I hope it helps ~

a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet

Answers

The answer is 250,112.5,56.25,28.125,14.0625, 7.03125

Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?

Answers

Answer:

10 for 9$

Step-by-step explanation:

because say the each ball cpsts a dollar, and the total for 3 would be 3$ for the cost of 10 would be 9 so its less but more mo ey spent

Which is greater -1 or 0

Answers

Answer:

0

Step-by-step explanation:

Answer:

The answer would be 0.

Step-by-step explanation:

Any negative number is less than 0 and any positive number is greater than 0.

Write the number for twenty-six million seven hundred thousand.​

Answers

Answer:

The answer is 26,700,000

(-1, 16), (-13, 6)

Write an equation in slope-intercept form.

help

Answers

Answer:

y=5/6x+101/6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-16)/(-13-(-1))

m=-10/(-13+1)

m=-10/-12

simplify

m=5/6

y-y1=m(x-x1)

y-16=5/6(x-(-1))

y-16=5/6(x+1)

y-16=5/6x+5/6

y=5/6x+5/6+16

y=5/6x+5/6+96/6

y=5/6x+101/6

Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will
Trent pay?

Answers

116.6 should be the answer

Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work

Answers

Answer:   x = 19.7  (choice C)

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

please help me I'm not good at math :(


the options are:

exactly one real solution

infinitely many solutions

no real solution

two real solutions​

Answers

Answer: No real solution.

Step-by-step explanation:

Since the parabola never crosses the x-axis, there are no real solutions.

solve inequalities by using transformation rules? 7(x-2)<4x-8​

Answers

Answer:

x < 2

Step-by-Step Explanation:

can someone solve this trigonometry question?​

Answers

Ok done. Thank to me:>

Please Help

Factor the polynomial: x^3 + 3x - 2x - 6

Answers

Answer:

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

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

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

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

Solve for number 17

Answers

Answer:

The persification of A C Square BX LFO xc83 cx>? 783fx

Step-by-step explanation:

Show two ways three people could share a 5 segment chewy worm

Answers

Answer:

Each person would get 1/5 of 3 segments.

Each person would get 3/5 of a segment.  

Step-by-step explanation:

(3) (1/5) = 3/5 segments

Please help due tmmr please help

Answers

Answer:

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Step-by-step explanation:

The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.

Answers

it’s is even bc it doesn’t go through the origin

Answer:

even

Step-by-step explanation:

Y'all i need some help with this.

Answers

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

i will give you brainliest or whatever it’s called just pls answer within 45 minutes !!

Answers

Answer:

x = y1 x x1/ y2 x2

Step-by-step explanation:

1)
Find the value of x.

Answers

x=6

Explanation:

The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30

30+5=35.

Therefore,

x is going to have to be 6.

If −9x+10y=−10 is a true equation, what would be the value of −5(−9x+10y)?

Answers

Answer:

Answer A

Step-by-step explanation:

It gives the answer of 23.45

The longest side of a triangle is always opposite the:

Answers

smallest interior angle

Answer:

angle with the greatest measure

Step-by-step explanation:

the greater length of the triangle is always opposite from the greater angle. hope this helps :)

What is |-8| ? -16
-8
8
16

Answers

Answer:

8

Those little "sticks" are called absolute value.

For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.

Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.

I hope it helps.

When it is the absolute of a negative number then the negative number then turns positive. Your answer would be 8

Dado P(x) = x2– kx + 2, hallar el valor de k para que P( – 2)=8

Answers

K =1 see attached picture

If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?

Answers

Step-by-step explanation:

So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as

5pounds=9 jars

? =24 jars

Then you cross multiply /work it out as

5×24÷9

And your final answer will be

13 1/3 pounds

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