Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?

ill give 40 points and brainlysest please i really need this please

Answers

Answer 1

Answer:

541/2 square in I hope this helps

Step-by-step explanation:

i hope this helps if it does can i get brainlists

Answer 2

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.


Related Questions

PLS HELP ILL GIVE THE BRAINLEST PLEASSSSSE

Answers

Answer:
7) ARC DE = 189
ARC EF = 13
ARC DFG = 347
8) ARC MN= 65
ARC NP= 115
ARC NQP= 245

Explanation:
7) 2 *vertical angles so double* (x-3) + 2 * vertical angles so double* 12x-25) = 360 *Total Degree of a circle*
2x-6 +24x-50 =360
26x -56 = 360
26x=416
x=16
Plug it back into the Formula.
Arc EF = x-3
16-3 = 13
Arc 12x -25 *Vertical Angels so same formula as Arc GF*
12(16)-3= 189
ARC DFG = 360 - ARC DG
360 - 13 = 347

8) 10x -45 = 6x-1 *vertical angles equal each other*
4x-45 =-1
4x =44
x=11
ARC MN = 10x -45
10(11)-45=65
ARC NP = 0.5(360 - 2(ARC MN))
0.5(360-130) = 115
ARC NQP = 360 -NP
360-115 = 245

Plzzz can someone help me out???

Answers

I think its the third one, the equation one,

Nancy wants to put up a fence around
a rectangular garden. The garden
measures 12 feet by 18 feet. How
much fencing material is needed?

A30 feet
B 108 feet
C 60 feet
D 216 feet

Answers

Answer:

if you are doing times then it would be 216 feet

Step-by-step explanation:

18 x 12 equals 216 I hope it helped

Find the value for a.

Answers

Answer:

a = 25

Step-by-step explanation:

The exterior angles of a polygon sum to 360°

Sum the exterior angles and equate to 360

a + a + 40 + 51 + 55 + 54 + 2a + 60 = 360, that is

4a + 260 = 360 ( subtract 260 from both sides )

4a = 100 ( divide both sides by 4 )

a = 25

A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice.

Answers

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Simplify.
27²=
FAST plsssssssssssssssssssssss

Answers

Answer:

729

Step-by-step explanation:

27²=  (27)(27)=729

A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If
two marbles are drawn out of the bag, what is the exact probability
that both marbles drawn will be red?
( I’m needing to know this ASAP please help )

Answers

Answer:

5/14

Step-by-step explanation:

Answer:10/91

Step-by-step explanation:

Kim bought four bottles of water and 2 candy bars at a snack shack. Steve bought one bottle of water and 7 candy bars from the same snack shack. A bottle of water cost $1.25 and all candy bars are the same price. If Kim and Steve spent the same amount of money, how much does one candy bar cost?

$0.70

$0.75

$1.25

$1.33

Answers

Answer:A

Step-by-step explanation:

1 bottle is 1.50

4*1.50=5

5+1.25= the total

5divided by 7=0.70

Double check your work I’m not sure if I’m right!

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.

please help!! will mark brainliest!!

Answers

First blank: 230

Second blank: 200.6

Third blank: 113.4

The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

P is the center, angle LPJ=130degree

Now,

To find the approximate values, we can use 3.14 for π and round to the nearest tenth:

Area of shaded sector = (13π/36) × P^2

≈ (13 × 3.14/36) × P^2

≈ 1.13 × P^2

Area of unshaded sector = (23π/36) × P^2

≈ (23 × 3.14/36) × P^2

≈ 1.99 × P^2

Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ2

Use 3. 14 as an approximation for pie.

Which is the circumference of a plate with a radius of 5 cm?

Answers

Answer:

D

Step-by-step explanation:

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text

Answers

Complete question :

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text. The time spent picking blueberries

Answer:

44 minutes

Step-by-step explanation:

Given that :

Start time = 1:37 pm

End time = 2:21 pm

The time difference is obtained by subtracting the start time from the end time :

. End time - start time

2:21 pm - 1:37 pm

From 1:37 pm to 2 pm = 23 minutes

From 2 pm to 2:21 pm = 21 minutes

Total minutes = (23 + 21) minutes = 44 minutes

HURRY PLEASE TIMER: 15 MINS: Coach needs runners for a 4 mile relay race.
Each runner has to run 2/5 mile.
How many runners does the coach need?

Answers

The coach needs 10 runners
Each runner runs 2/5 of a mile, so 5 people would be needed to run two miles. Therefore, he’d need 10 runners.

HELP I AM TIMED AND EXPLAIN HOW YOU GOT IT

Answers

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

guys i have 5 min left plz

Answers

Answer:

both are wrong

Step-by-step explanation:

raj's mistake: he did not multiply -2 by -5a/4

antonia's mistake: she went from -4a/4 to a which is wrong because -4/4 is -1.

What is the sum of the polynomials?
(-x2 + 9) + (-3x2 - 11x +4)

Answers

Answer:

- 4x² - 11x + 13

Step-by-step explanation:

Given

(- x² + 9) + (- 3x² - 11x + 4) ← remove parenthesis

= - x² + 9 - 3x² - 11x + 4 ← collect like terms

= - 4x² - 11x + 13

if f (x) =5x^{2} what is 3 f (x) ?

Answers

Answer:

15x²

Step-by-step explanation:

Given

f(x) = 5x² , then

3f(x) = 3 × 5x² = 15x²

Maricow county charges a 4% local fee on all cell phone bills. If a customers bill comes out to 125 what will their bill be including the local fee their bill

Answers

Answer:

$130

Step-by-step explanation:

Given data

Customer bill= $125

Charge= 4%

let us find 4% of $125

=4/100*125

=0.04*125

=$5

Hence the  bill including the local fee is

=125+5

=$130

Each row contains the degree measures of two supplementary angles. Complete the table.

the measure of an angle measure of its supplement
80°
°
25°
°
119°
°
x
°
(From Unit 7, Lesson 2)

Answers

Answer:

Step-by-step explanation:the answer will be 100

Please help... 12 points please thank you!

Answers

Number of dollars I think
Sorry if I’m wrong

Solve the system of equations using the elimination method. 2x − 3y = 50;7x + 8y = −10
A. (0, 5)

B. (6, 10)

C. (10, −10)

D. (3, −3)

Answers

Answer: C. (10, -10)

Step-by-step explanation:

Given

1) 2x-3y=50

2) 7x+8y=-10

Multiply both sides of 1) equation by 3.5

1) 3.5(2x-3y)=3.5×50

   7x-10.5y=175

2) 7x+8y=-10

Subtract 2) equation from the 1)

(7x-10.5y)-(7x+8y)=175-(-10)

-18.5y=185

y=-10

x=10

(10, -10)

Hope this helps!! :)

Please let me know if you have any questions

i got , C - (10,-10)

What does x equal?
5x + 4 = 1

Answers

Answer:

x= -5

Step-by-step explanation:

Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?

Answers

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
number only)
Help I need big brains for it and I need it fast please help please

Answers

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

)

The measures of the other seven angles are evaluated as:

[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]

What are supplementary angles?

Two angels whose sum is 180° are called supplementary angles.

When they are added together graphically, they form a straight line.

What are vertical angles?

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. They are of same measurement.

What are corresponding angles?

In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

For this case, we have:

Angle 1,2,3 and 4 corresponding to 5,6,7 and 8 angle respectively.  It is because the two lines A and B are parallel and the traversing line intersects both of them. When single line intersect two parallel lines, it makes same corresponding angles on both of the sides. That means

[tex]m\angle 1 = m\angle 5\\m\angle 2 = m\angle 6\\m\angle 3 = m\angle 7\\m\angle 4 = m\angle 8[/tex]

where that small 'm' denotes that we're taking about their measurements.

Thus, we will only find 1,2,3,and angle 4's measurements and rest four would be found.

Since angle 1 and angle 4 are vertical angles, they are same measurement. Since angle 1 is of 65 degrees, thus:

[tex]m\angle 1 = 65^\circ = m\angle 4[/tex]

Now, since angle angle 3 is supplementary to angle 1 and so as angle 2 to angle 4, thus:

[tex]m\angle 2 + m\angle 4 = 180^\circ\\m\angle 2 = 180-m\angle 4= 115^\circ\\\\m\angle 3 + m\angle 1 = 180^\circ\\m\angle 3 = 180-m\angle 1= 115^\circ[/tex]

Thus, we get the measurement of all angles as:

[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]

Learn more about corresponding angles here:

https://brainly.com/question/23134162

SCENARIO A:When the Puertas family moved into their home 14 yearsago, there was alemon and orange tree in their backyard. Both treeshave since been growing ata constant rate. 2 years after the Puertas familymoved in, the lemon tree was 7feet tall, and 8 years after they moved in, the lemontree was 10 feet tall. As forthe orange tree, 3 years after the Puertas familymoved in, it was 4 feet tall, and7 years after they moved in, the orange tree was 8feet tall.Question 1:How many years afterthe Puertas family moved in willthe lemon tree and theorange tree be the same height?What height will theybe?

Answers

Answer: 18

Step-by-step explanation:

What is the alternative press?

Answers

Answer:

D. A news organization that is not owned by a corporation.

Step-by-step explanation:

your answer is i’ll be d hope this helps you

Classify the graph.
A?
B?
C?
D?

Answers

Answer:

linear

Step-by-step explanation:

you can tell its linear bc its in a straight line

hope this helps <3

1. John earns 12% for each house he sells.
If he sells a house for $52,000 , what is his commission?
|

Answers

52000 times .12 equals 6240


John earns $6240 commission

Answer:

6240

Step-by-step explanation:

52,000*12%=6240

Alfonso plans to create an ice sculpture out of a 8-cubic foot ice cube. What is the surface area of the cube?

Answers

Answer:

Surface area of cube = 24 ft²

Step-by-step explanation:

Given:

Volume of cube = 8 ft³

Find:

Surface area of cube

Computation:

Volume of cube = Side³

Side³ = 8 ft³

Side³ = (2 ft)³

Side = 2 ft

Surface area of cube = 6a²

Surface area of cube = 6(2)²

Surface area of cube = 6(4)

Surface area of cube = 24 ft²

A mother bear and her cub catch fish from a river . The mother bear catch 10 fish the mother bear catch 5 times as many

Answers

Answer:

This doesn't make sense.

Step-by-step explanation:

If the question was "A mother bear and her cub catch fish from a river. The cub catches 10 fish and the mother bear catches 5 times as many as the cub. How many fish did the cub catch?" then the answer would be, The mother bear caught 50 fish.

This is because if the cub caught 10, and the mother caught 5 times that amount, the mother caught 5 x 10 fish. 5 x 10 = 50.

Now, suppose assuming the true fraction of voters is .65, the estimated standard deviation of X is given as 6.65. Suppose you find that 115 people actually voted yes in the random sample of 200. Conduct hypothesis testing using p value approach at 5% significance level to determine the validity of Candidate A’s claim that he was at least supported by 65% of the voters. (Make sure you show the steps of hypothesis testing)

Answers

Answer:

reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

Step-by-step explanation:

x = 115

n = 200

Phat = x / n = 115 / 200 = 0.575

H0 : P0 ≥ 0.65

H1 : P0 < 0.65

TEST STATISTIC :

Phat - P0 ÷ sqrt[(P0(1-P0))/n]

0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]

-0.075 ÷ 0.0337268

Test statistic -2.237

Pvalue :

P(Z < - 2.237) = 0.012643

α = 0.05

Pvalue < α

0.012643 < 0.05 ; We reject H0

We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

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