Gum is packaged in a square-based pyramid shaped box with a distance of 6 cm from the center of the base to the sides and a height of 12 cm.

a) How much material was used to create the box? (surface area)

b) What is the volume of the box?​

Answers

Answer 1

Answer:

18 cm

Step-by-step explanation:

Answer 2

a) The material required to create box is 288 cm²

b) Volume of Box is 288 cm³.

What is Volume of Square based Pyramid?

The area bounded by a square pyramid's five faces is referred to as its volume. A square pyramid's volume is equal to one-third of the product of the base's area and its height.

Thus, volume = (1/3) × (Base Area) × (Height).

Given:

h= 12 cm

so, base edge = √36+36= 6√2

a) The material required to create box

= a² + 2a√(a²/4) + h²

= 6√2² + 2(6√2) √(6√2)²/4 + 12²)

= 288 cm²

b) Volume of Box

= a²h/3

= (6√2)² x 12/ 3

= 72 x 4

=288 cm³

Learn more about Volume of Pyramid here:

https://brainly.com/question/17615619

#SPJ2


Related Questions

How to find the x and y intercepts for linear equations

Answers

Answer:

plug in 0 for y and solve for x  

to find y plug in 0 for x

Step-by-step explanation:

please help me on this!! will give u brainliest.

Answers

3 minutes


As time decreases water increased

300

whats a constant term

Answers

Answer:

a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial x^{2}+2x+3, \ the 3 is a constant term.

Solve -5w = -80 for w

W=

Answers

Answer:

w = 16

Step-by-step explanation:

Divide -5 into -80 for a positive number as your answer.  Your answer should be 16 when you done it manually.

Answer: 16

Step-by-step explanation:

Divide -80 by -5 and then you get 16

Hope this helps :)

25 POINTS!!!
This is a rather complicated question... but:
What is the circumference of a circle if the radius is 9.85 (Round to the nearest 10th)
Take the circumference and square it. (round to the nearest 10th)
_______________________________
NEW QUESTION
_______________________________
What is the area of a sphere if the radius is 7
TYSM

Answers

Answer:

C≈61.89

C=3830.37

Step-by-step explanation:

A≈615.75

SOMEONE DO NUMBER 1 AND 2 FOR ME, ILL GIVE BRAINLIEST

Answers

Answer:

1. The second number line, the third number line, the first number line.

2.

[tex]a) \: 1 \frac{7}{8} > \frac{7}{4} [/tex]

[tex]b) \: \frac{21}{5} = 4 \frac{1}{5} [/tex]

[tex]c) \frac{13}{4} < 3 \frac{5}{6} [/tex]

Kaylee go to the store and she sees a jacket and it’s 20% off what is 20% of 50?

Answers

Answer:

10

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

20-50=30

A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.1
MB. Yesterday, there were 1600 downloads of the song, for a total download size of 5624 MB. How many downloads of the high-quality version were
there?
Number of high-quality version downloads:

Answers

Answer:

Number of high quality version downloads = 880

Step-by-step explanation:

Let,

x be the number of standard version songs downloaded

y be the number of high quality version songs downloaded

According to given statement,

x+y=1600        Eqn 1

2.8x+4.1y=5624     Eqn 2

Multiplying Eqn 1 by 2.8 to eliminate x

2.8(x+y=1600)

2.8x+2.8y=4480     Eqn 3

Subtracting Eqn 3 from Eqn 2

(2.8x+4.1y)-(2.8x+2.8y)=5624-4480

2.8x+4.1y-2.8x-2.8y=1144

1.3y=1144

Dividing both sides by 1.3

[tex]\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880[/tex]

Hence,

Number of high quality version downloads = 880

If the measure of GH is 30° and the radius is 6 meters, what is the arc length of GH?

Answers

Answer:

The length of the arc GH is approximately 3.14 meters (or π)

Step-by-step explanation:

The length of an arc whose measure equals the measure of the central angle Ф and the radius of the circle r is:

L = (Ф ÷ 360°) × 2π r

Let us solve the question using the rule above

∵ The measure of arc GH is 30°

Ф = 30°

∵ The radius is 6 meters

r = 6 meters

→ Substitute them in the rule above

L = (30° ÷ 360°) × 2π × 6

∴ L = [tex]\frac{1}{12}[/tex] × 12π

L = π

→ Use π ≈ 3.14

L ≈ 3.14

The length of the arc GH is approximately 3.14 meters (or π)

Are the triangles congruent?
SAS
SSS
ASA
HL
AAS
NOT CONGRUENT

Answers

Answer:

They are SAS congruent.

Step-by-step explanation:

Two angles form a linear pair. One angle measures (10x - 63). The other angle measures (8x)". What is the value of the larger

angle?

O 180

O 72

O 135

O 108

Answers

Answer:

108 degrees

Step-by-step explanation:

Given

Let the angles be A and B

[tex]A = 10x - 63[/tex]

[tex]B = 8x[/tex]

Required

Find the larger angle

If both angles form linear pair, then the following relationship exist:

[tex]A + B = 180[/tex]

Substitute values for A and B

[tex]10x - 63 + 8x = 180[/tex]

Collect Like Terms

[tex]10x + 8x = 180 + 63[/tex]

[tex]18x = 243[/tex]

Solve for x

[tex]x = \frac{243}{18}[/tex]

[tex]x = 13.5[/tex]

Substitute 13.5 for x in

[tex]A = 10x - 63[/tex]

[tex]B = 8x[/tex]

[tex]A= 10 * 13.5 - 63[/tex]

[tex]A= 135 - 63[/tex]

[tex]A= 72[/tex]

[tex]B = 8 * 13.5[/tex]

[tex]B = 108[/tex]

Hence, the larger angle measures 108

The graph shown corresponds to someone who makes

A. $10 a day
B. $5 a day
C. $10 an hour
D. $5 an hour


Answers

Answer:

5$ an hour

Step-by-step explanation:

look at the x-axis it says hours :)

also the line has a point on 1,5 sooo that means 5 dollars an hour

also the slope is also just 5 lol

Answer:

5 dollar an hour

Step-by-step explanation:

the graph at an hour x when it is 1 hour at y it meets at 5 dollar.

Mary decreased her time for the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?

Answers

Answer:

20%

Step-by-step explanation:

Formula:

((GreaterTime-LeastTime)/Greatertime)x100= Percentage of Decrease.

((30-24)/30)*100=percent of decrease.

(6/30)*100=percent of decrease.

0.2*100= percent of decrease.

20%.

Hope this helps you :D


Question 3
If you spin the spinner twice, what is the probability that the pointer lands on red the first time and blue the
second time?

Answers

Step-by-step explanation: Okay so ther is 2 blue and 1 red and 5 white. 1/8 chance you would get red and then 2nd try 2/8 chance so... Im pretty sure its 1/32

One health club charges a $44 sign-up fee and $30 per month. Another health club charges a $99 sign-up fee and $25 per month. What number of months will the cost be the same? Write an equation or inequality then solve it. Provide work

Answers

Step-by-step explanation:

Let x be the number of months for the 2 health clubs to have the same cost.

We have $44 + $30x = $99 + $25x.

Therefore $5x = $55 and x = 11.

The number of months is 11.

- Twelve red marbles and 15 blue marbles are in a bag. If one marble is
drawn from the bag, what is the probability the marble is not red?

Answers

Answer:

15 + 12 = 27 marbles total

15/27 = probability it's not red

Which number is larger 0.345 or 0.345345345345..... Why?

Omar says a square root is always an irrational number.
Explain to Omar why he is incorrect in his statement.

Answers

Answer:

0.345345345345...... Because .345 is basically .345000000. And 0.345345345345..... has ending numbers with 345...... and 0.345345345345..... makes it larger.

Step-by-step explanation:

Hope I helped!! :)

Sorry if it's wrong. :(

a map of Texas uses the scale of 1.5 to represent 60 miles the distance between corpus Christi to Houston is 60 miles what is the distance in inches between the cities on the map

Answers

Answer:ahhhh

Step-by-step explanation:

I hope this helps

Amanda buys 4 tickets to the baseball game for $24 each. Which equation

shows the closest estimate of the total amount Amanda spends?

Which equation shows the closest estimate of the total amount Amanda spends

Answers

Answer:

$96

Step-by-step explanation:

Given that,

The total number of tickets = 4

Cost of each baseball = $24

We need to find the equation that shows the closest estimate of the total amount Amanda spends.

Total cost = No. of tickets × Cost of each baseball

= 4×24

= $96

Hence, the total cost is $96.

A
B
C
D
HELP ASAP PLZ

Answers

Answer:

a

Step-by-step explanation:

you see triangle DEF is equal to triangle FGH

you write down on the way of triangle DEF formed

you write down on the way of triangle FGH formed.

It has to be the same way.

so plug in the choices

b c and d are the same ways

but a didn`t


Heyy!! can u pls help me

Answers

Answer:

top left

Step-by-step explanation:

do you want an explanation?

Answer:

the third one because it says over a hour and all the rest looks ring

the tank in Jacques' car has a capacity of 133 l of gas. he filled up at the gas station by adding 89 l to the tank. how much gas was in the tank before he filled it up
a 440 g
b 44 kg
c 44 g
d 44 l

Answers

Answer:

vftghjm

Step-by-step explanation:

133 L- 89 L = 44 L
He had 44 L in the tank already.

D.

Does (3, 10) make the inequality y > 2x + 2 true?

Answers

Answer:

Yes, it makes it true

Step-by-step explanation:

Plug in 3 and 10 as x and y into the inequality:

y > 2x + 2

10 > 2(3) + 2

10 > 6 + 2

10 > 8

Since 10 is bigger than 8, this inequality is true.

So, (3, 10) makes the inequality true.

Josh bought 6 pounds of sugar for $4. How many pounds of sugar did he get per dollar?

Answers

1.5 pounds of sugar per dollar.

Please ASAP
Add: 1234 + 202

Answers

1234 + 202 =  1,436

Hope this helps!!

Answer:

1436 is your answer

Step-by-step explanation:

Using the number line to help you, decide which fraction is larger, or if they are equal: four/fifths or seven/tenths. Label each fraction on the number line.​

Answers

Answer:

4/5 is bigger than 7/10

Step-by-step explanation:

Just divide them each

4/5 = .8

7/10 = .7

Umm... your going to have to put those on the number line yourself sorry

Answer: 4/5. 4/5 can also mean 8/10. 8/10 is greater than 7/10. I do not know how to label the fraction on the number line if it is a picture so hopefully you can do that.

identify the zero of the function f(x)=-1/2x+2

Answers

Answer:

pretty sure the answer is x=4

Step-by-step explanation:

hope this helps!

Jay has an album that holds 600 photos each page of the album holds 6 photos of 54% of the album is empty how many pages are filled with photos

Answers

Answer:

46 pages are filled

Step-by-step explanation:

54% of 600 is 324

600 - 324 = 276

276 / 6 = 46

Happy New Year!

3
-9(2.7 - 1.55) + 3

Answers

Answer:

-7.35

Step-by-step explanation:

distribute -9 to 2.7 and 1.55

-9x2.7=-24.3

-9x1.55=-13.95

then subtract -13.95 from -24.3

-24.3-(13.95)=-10.35

Then add 3 to -10.35

Answer = -7.35

Answer:

what is the question I do not know but ill try my best

Step-by-step explanation:

-9(2.7 - 1.55) + 3= -7.35


Ian wants to paint a wall measuring 3 metres by 7 metres.
Each tin of paint covers 5m^2
How many tins of paint will Ian need?

PLEASE HELP ASAP I THOUGHT THE ANSWER WAS ONE I SWEAR IT IS BUT SOMEONE HELP!!!!!!!

Answers

Answer: 5.2

Step-by-step explanation:

3*7 = 21

21/5 = 4.2

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