Blank 1: The Base Area (B) of the pyramid is _ cm2. --> Area = (1/2)ap


Blank 2: The height (h) of the pyramid is _ cm.


Blank 3: The Volume (V) of the pyramid is _ cm3.


Use the formula V = (1/3)Bh to find the volume of the hexagonal pyramid.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the dimensions of the hexagon are not given.

I will assume that:

[tex]b = 6[/tex] --- base length

[tex]h = 8[/tex] --- height

First, we calculate the height (a) of each triangle that makes the hexagonal base

The formula to use is:

[tex]a^2 = b^2 - (\frac{b}{2})^2[/tex]

[tex]a^2 = 6^2 - (\frac{6}{2})^2[/tex]

[tex]a^2 = 6^2 - (3)^2[/tex]

[tex]a^2 = 36 - 9[/tex]

[tex]a^2 = 27[/tex]

Take positive square roots

[tex]a = \sqrt{27[/tex]

Expand

[tex]a = \sqrt{9*3[/tex]

Split

[tex]a = \sqrt{9}*\sqrt3[/tex]

[tex]a = 3\sqrt3[/tex]

So, we have:

[tex]Area = \frac{1}{2}ap[/tex]

Where

[tex]a = 3\sqrt3[/tex]

[tex]p =perimeter[/tex]

[tex]p = 6 * b[/tex] ---- 6 represents the sides of the hexagon

[tex]p = 6 * 6[/tex]

[tex]p = 36[/tex]

[tex]B= \frac{1}{2}ap[/tex]

[tex]B= \frac{1}{2} * 3\sqrt 3 * 36[/tex]

[tex]B= 3\sqrt 3 *18[/tex]

[tex]B = 54\sqrt 3[/tex]

[tex]h = 8[/tex]

Lastly, the volume is:

[tex]V = \frac{1}{3}Bh[/tex]

So:

[tex]V = \frac{1}{3} * 54\sqrt3 * 8[/tex]

[tex]V = 18\sqrt3 * 8[/tex]

[tex]V = 144\sqrt3[/tex]


Related Questions

- 7th Grade work -

Pls just say if it's a, b, c, or d.

Answers

Answer:

We first need to solve the inequality so,

3 > j/-3 - 7

+7         +7

10 > j/-3

x-3    x-3

-30 > j

D is your answer.

It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.

What are the next 3 terms of this pattern? 1056, 1088, 1120..

Answers

Answer:

1,152, 1,184, 1,216

Step-by-step explanation:

First, subtract. 1,088 - 1,056 = 32

Then, add.

1120 + 32 = 1,152

1,152 + 32 = 1,184

1,184 + 32 = 1,216

Lastly, have a nice day!

Answer:

The next three terms are 1152, 1184, 1216.

Step-by-step explanation:

The pattern of this term equation is to add by 32.

1056+ 32 = 1088

1088 + 32= 1120

1120 + 32 = 1152

1152+ 32 = 1184

1184 + 32 = 1216

Could I receive Brainliest please?!

[tex]\frac{25}{24} x \frac{18}{35} =\\[/tex]

Answers

Answer:

1307/840

Step-by-step explanation:

On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal distribution curve below that represents the data and answer the following questions.

What score is the 16th percentile?

Answers

Answer:   65

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

According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.

In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.

Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79

Cut this in half and get (32%)/2 = 16%

16% of the population is in either tail.

16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.

The 16th percentile is the marker where 16% of the population is below that value.

Therefore, the 16th percentile is the value  65  

16% of the class scored less than 65 on the test.

PLS SOMEONE NEEDS TO HELP MEE

Answers

1 tile =256 in sq and there are 60 tiles
Ans: 15,360

Jello someone please help me
No links or files please

Answers

Answer:

3. 43     4. 84     5. 522

Step-by-step explanation:

Solve 2x – 5 = 7?
What is the answer?

Answers

Answer:

x = 6

Step-by-step explanation:

someone help me on this one math problem pls !!!

Answers

Answer:

4/9

Step-by-step explanation:

hi

PLEASE HELP
WILL GIVE BRAINLIEST!!!

Answers

Answer:

5/16 pounds

Step-by-step explanation:

The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.

Answer:

0.3125 pounds

Step-by-step explanation:

Each wedge of cheese weights 0.1325 pounds

cellus
Find the volume of the following
square pyramid.
110 cm
8 cm
8 cm
V = [?] cm3
Round to the nearest tenth.
Enter

Answers

Answer:

Step-by-step explanation:

Answer:213.3

Step-by-step explanation: 8x8 =64(the base)x10 (the height) x1/3

What are the solutions of x2 + 6x – 16 = 0?
The 2 is a variable PLZZ GET IT RIGHT

Answers

Answer:

[tex]x=2,x=-8[/tex]

Step-by-step explanation:

[tex]x^{2} +6x-16=0\\x^{2} +8x-2x-16=0\\x(x+8)-2(x+8)=0\\x-2=0 ,x+8=0\\x=2,x=-8[/tex]

Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2

Answers

What the make no sense but I believe it is 50.24 hope that helps

Please help with this cylinder

Answers

Answer:

x = 4

Step-by-step explanation:

Area of a parallelogram = base times height

Given area = 40

Given height = 4

Given = x + 6

Thus,

40 = 4 * (6 + x )

Step 1 distribute the 4

4 * 6 = 24

4 * x = 4x

we now have 40 = 24 + 4x

step 2 subtract 24 from each side

40 - 24 = 16

24 - 24 cancels out

now we have 16 = 4x

step 3 divide each side by 4

4x / 4 = x

16 / 4 = 4

we're left with x = 4

To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.

(x + 6) * 4

* substitute 4 for x *

(4 + 6) * 4

4 + 6 = 10

10 * 4 = 40

40 = 40

Hence x = 4

Answer:

x = 4

Step-by-step explanation:

X + 6 feet

4 feets

A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?

Answers

Answer:

[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

Step-by-step explanation:

In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.

If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...

[tex]\frac{5 *17}{40 * 20}[/tex] = [tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

help this is due in a few minutes!!

Answers

I think it’s a im not that sure though

The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
B. between $135 and $275?
C. more than $240?

Answers

Answer:

Step-by-step explanation:

Today's calculators have statistical functions built in.

A.  Here we use:

normalcdf(10,310,205,35), WHICH returns 0.999.

B.  normalcdf(135,275, 205,35) = 0.954

C.  normalcdf(240, 10000, 205, 35) = 0.159

please help! i’ve been stuck on this question for the longest.

Answers

Answer:

57%

Step-by-step explanation:

Answer:

I think the first one 57%

Step-by-step explanation:

hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤

What is the lenght of CD in triangle ABC?
A. 8V2
B. 2V8
C. 2V3
D. 64V2

Answers

[tex]8\sqrt{2}[/tex]Step-by-step explanation:

How many unit cones would you need to make rectangular prism that is 8 cubic units tall, 4 cubic units wide, and 6 cubic units long?

Answers

Answer:

192 unit³

Step-by-step explanation:

The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

Height, h = 8 unit³

Width, w = 4 unit³

Length = 6 unit³

The volume of the rectangular Prism is given as :

Volume = Length * width * height

Volume = (6 * 4 * 8) unit³

Volume = 192 unit³

Queremos repartir 5 quesos a partes iguales entre ocho personas ¿Qué fracción le corresponde a cada uno?

Answers

Answer:

5/8

Step-by-step explanation:

Se asume que los quesos son iguales.

Para repartirlos Ud., toma cada queso y lo divide en 8 partes iguales y entrega 1/8 de queso a cada quién. Si hace esa operación 5 veces ( ya que son 5 quesos) Ud., debera multiplicar la porcion 1/8 por 5. De tal manera que la respuesta es:

(1/8)* 5  = 5/8


Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

65°

Step-by-step explanation:

to find angles, use the inverse trig function (in this case, tan^-1)

tan^-1(5/12)

Answer:

65.4

Step-by-step explanation:

Help meeeeeeee pleaseeeeeeeeeee

Answers

B is the answer pls mark brainliest

Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes.
How long did he spend snowboarding?

Answers

Answer:

1 hour and 35 mins

Step-by-step explanation:

Find the diameter of the object.

diameter: __ ft

Answers

Answer: 1.6

Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6

HELP ASAP!! WILL GIVE BRAIN THING AND A THANKS!

Answers

Answer:

42

Step-by-step explanation:

that is the answer i got

If y= x³-1 find the value of y if x= -2​

Answers

Answer:

Y=19 Hope this helps!!!!

Step-by-step explanation:

Divide $1800 in the ratio 7:5​

Answers

Answer:

7+5 =12

1800/12=150

So 7x150 =1050

And 5x150= 750 so

1050:750

Simplify. 24 7/12 - 4 3/8

20 4/4
20 5/24
20 4/96
5/24

Answers

Answer:

20 5/24

Step-by-step explanation:

HELP!!!!
I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?

Answers

Your answer will be 7 hope this helps

Answer:

Hi!

Question:I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?

Answer: 7

Explanation: If you add 7+7 you get 14 if you take one from other you will get 6 (7-1=6)

Does anyone know how to solve this?

Answers

Answer:

H(22) = 54 + 22 = 76

Step-by-step explanation:

...............

Answer:

chug jug

Step-by-step explanation:

with you

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