5) A rectangular box 25cm by 20cm by 15cm internally is made of wood
0.5cm thick. If the box has a lid, find the volume of the wood used in cm'.

Answers

Answer 1

Answer:

The volume of the wood used is [tex]1,116\ cm^3[/tex]

Step-by-step explanation:

The Volume of a Rectangular Cuboid

In a rectangular cuboid, all angles are right, and the opposite faces are equal.

The volume of a cuboid of dimensions a,b,c is:

V=a.b.c

The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.

The external volume of the box is:

[tex]V_e=(25)*(20)*(15)=7,500\ cm^3[/tex]

The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.

Thus the internal volume is:

[tex]V_i=(24)*(19)*(14)=6,384\ cm^3[/tex]

The volume of the wood used is the difference between the external and the internal volumes:

[tex]V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3[/tex]

The volume of the wood used is [tex]\mathbf{1,116\ cm^3}[/tex]


Related Questions

Sandra hikes 9/10 mile every 30 minutes,or 1/2 hour. How many miles does she hike each hour?​

Answers

9514 1404 393

Answer:

  1.8 miles

Step-by-step explanation:

In the first half hour, Sandra hikes 9/10 = 0.9 miles. She hikes that distance again in the second half-hour. After an hour, Sandra has hiked ...

  2 × 0.9 miles = 1.8 miles

__

If you like, you can consider it a "unit rate" problem. To find miles per hour, divide miles by hours:

  (9/10 mi)/(1/2 h) = (9/10)(2/1) mi/h = 9/5 mi/h = 1.8 mi/h

Sandra hikes 9/5 or 1.8 miles in an hour.

pls give the answer​

Answers

Answer:

It should be 245 m

Step-by-step explanation:

Separate it like this:

chop of the rectangle part and find the area of that and then add it to the trapezoid part

10*20 = 200.

Area of a trapezoid = 5+10/2 *6.

5+10 = 15. 1

5/2 = 7.5.  

7.5*6 = 45.

45 + 200 = 245

diameter of the cylinder given that the volume is 704 cm³ and the height is 14 cm .​

Answers

Answer:

8.00 cm (to 3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: cylinder = \pi {r}^{2}h }[/tex]

*r= radius of the cylinder

h= height of cylinder

Substitute the given volume and height into the formula:

704= πr²(14)

[tex]{r}^{2} = \frac{704}{14\pi}[/tex]

Square root both sides:

[tex]r = \sqrt{ \frac{704}{14\pi} } \\ r = 4.0008 \: (5 \: s.f.)[/tex]

Diameter= 2(radius)

∴ Diameter of cylinder

= 2(4.0008)

= 8.0016

= 8.00cm (3 s.f.)

Identify the property on this equation 4x + 3 = 3 + 4x

Answers

Answer:Infintely many

Step-by-step explanation:

Step 1:4x+3=3+4x. Subract 3 from both sides

Step: 4x=4x. Because 4x=4x,if it was 3x=4x it would be no solution.

Answer: Commutative Property of Addition

The general rule for this is a+b = b+a

We can add any two numbers in any order we want.

Example: Since 2+3 = 5 and 3+2 = 5, we know 2+3 = 3+2

The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?

Answers

Answer:

24 individuals

Step-by-step explanation:

Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...

($480 - $120) / $15 = x

$360 / $15 = x

24 = x

Finally, we can see that a total number of 24 individuals attended the party

if 10 people and 400 animals go to a barn were are the people? if you cant figure out please do not report ill cry.

Answers

Answer:

18

Step-by-step explanation:

So you need to do f(x) 5x^2+3x-19+3

You would simplify the equation to get to y=4x+5f(x)+2

Naturally, you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0

Then solve using the square method (b/2)^2=(6)^2

Then put the 6 on both sides of the equation.

6^2+w0+8x+7t^2

After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respiratory system.

There ya go: 18.

Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
15 points!

Answers

9514 1404 393

Answer:

Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EFReflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

__

Additional comment

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

Answer:

Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF

Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

__

Additional comment

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

i need (−5)×(2)×(−0.5)​

Answers

Answer:

5

Step-by-step explanation:

(−5)×(2)×(−0.5)=5

a. What is the distance between points and K? Show
your work.

Answers

Answer:

Can you attach a picture?

Step-by-step explanation:

Put it DB and I'll gladly answer!

The slope of line r = 5 and the slope of line s = -5. Are the lines parallel, perpendicular or neither?

Answers

Answer:

Neither, if they are parallel they slope would be the same, and if they were perpendicular one of the slopes would be -1/5 so I am pretty sure it is neither. (I also graphed it and it didn't look perpendicular or parallel)

Step-by-step explanation:

Please help! I'll give brainlist!!!

Answers

Answer:

C

Step-by-step explanation:

3/4+(-1/8) which is 3/4-1/8. 6/8-1/8 which is 5/8 or option C.

Hope this helps please mark brainliest :D

Yesterday, Janie walked 35 mile to a friend's house, 14 mile to the store, and 38 mile to another friend's house. Which is the best estimate of the distance Janie walked?

Answers

The best estimate Janie walked is 87mile.

Answer:

1 1/4 miles

Step-by-step explanation:

Write each percent as a fraction in simplest form. 16%


PLEASE CAN YOU ANSWER THIS? AND IF YOU CAN PLEASEEEEEEEEEE EXPLAIN HOW YOU GOT IT, THANKS!

Answers

Answer:

[tex]\frac{4}{25}[/tex]

Step-by-step explanation:

16% is equal to [tex]\frac{16}{100}[/tex]

[tex]\frac{16}{100}[/tex] can be simplified by dividing by 2, giving you [tex]\frac{8}{50}[/tex], which can be divided by 2 again, giving you [tex]\frac{4}{25}[/tex].

[tex]\frac{4}{25}[/tex] can't be simplified again.

Answer:

16% = 4/25

Step-by-step explanation:

First, turn the percentage (16%) into a fraction with 100 in the denominator:

16% = 16/100

Now, you just need to simplify 16/100:

16/100

= 4/25

Both sides were divided by 4 to get the most simplified answer because 4 is the greatest common factor of 16 and 100.

i need help with this 293 ÷ 102
the answers are:
2.93
29.3
293
2,930

Answers

Answer: 2.93

Step-by-step explanation:

The answer is appx. 2.8725, when rounded up it becomes 2.93.

Answer:

2.93

Step-by-step explanation:

solve the equation
2+ x/-10 = 2/5
a: -16
b: -24
c: 16
d: 24​

Answers

Answer:

x = 16

Step-by-step explanation:

2+ x/-10 = 2/5

2 - 2 + -1/10x = 2/5 - 2

(10/-1) -1/10x = -8/5 (10/-1)

x = 16

Answer:

gddhdbjdbewb

Step-by-step explanation:

decnsnx wjdeni

Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0

Answers

A. 15.07 you’re welcome!

What is that rate of change for the equation y=2x+60?​

Answers

Answer:

2

Step-by-step explanation:

the rate of change is basically the slope. In this equation the coefficient of x is the slope. The coefficient of x is 2. So 2 is your slope

i’m pretty sure the rate of change is 2

find area and perimeter

pls show work

Answers

Step-by-step explanation:

ok so first you can split the object into 2 different shapes like the first picture.

next you can start with shape labeled 1

and the perimeter of that would be 5+5+4+4 =14

so the perimeter is shape 1 is 14

the area would be5×4 which is 20

now shape 2 the perimeter of that would be 8+8+2+2 which is 20

the area would be 8×2 which would be 16

so then you add the are and perimeter of each shape together

p= 14+20=34

a= 20+16= 36

help needed


Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles.

How many square feet of plywood does Oliver need to build the ramp?


help atleast tell me how to solve it or just give me the answer !

Answers

Yeeeeeeeeeeeep aight.

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?
1018
х
-10
0
10
-10
Simplify your answer and write it as a fraction or whole number.

Answers

Answer:1/2

Step-by-step explanation:

hi pls help! :)
!!!!!!!!!!!!!!!!!

Answers

Answer:

y=14

x=30

Step-by-step explanation:

I dont know the equation but here are the measure of the angles

3y+5=43 y=14

2x=60 x=30

4(2x - 3) = 8x – 12
Solve for the following equation

Answers

Answer:

8x-12=8x-12

Step-by-step explanation:

they are the same

a force of 10 newtons act in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
A. 2.59 joules
B. 3.88 joules
C. 38.82 joules
D. 150.00 joules

Answers

Answer:

C

Step-by-step explanation:

i think

The required work done is 38.82 joules.

Work done to be determine for force of 10 newton on angle of 75° for 15 meters.

What is work done?

Work done is define as the force required to move an object by some displacement.

Here, work done = force x displacement x cosФ
                          =  10 x 15 x cos75°
                          =   150 x 0.25

                           = 38.82 joules

Thus, the required work done is 38.82 joules.

Learn more about work done here:
https://brainly.com/question/13662169

#SPJ2

HELP PLEASE QUICK multiple choice.
What is the solution set of the equation?

7w2=1183

{−28,561, 28,561}

{−13, 13}

{−91, 91}

{−169, 169}

Answers

Answer:

{-13, 13}

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

{−13, 13}

Answer:

Solution given:

7w²=1183

w²=1183/7

w=√(169)

w=±13

Find the lateral surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
LSA = [ ? ] cm2

Answers

9514 1404 393

Answer:

  250 cm²

Step-by-step explanation:

The lateral area is the total area of the 5 rectangular faces. Each is ...

  A = LW = (10 cm)(5 cm) = 50 cm²

The lateral surface area is ...

  LSA = 5 × 50 cm² = 250 cm²

Write an expression equivalent to (6x + 4y) – 2y by combining like terms.

Answers

Answer: 6x + 2y

Step-by-step explanation:

What is the slope intercept form of the equation 4x-8y=72

Answers

Answer:

y = 1/2x - 9

General Formulas and Concepts:

Alg I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form: 4x - 8y = 72

Step 2: Find slope-intercept form

Subtract 4x on both sides:          -8y = 72 - 4xDivide both sides by -8:               y = -9 + 1/2xRewrite:                                         y = 1/2x - 9

(-2,4) ,(3,-6) point slope form

Answers

Y= -2x for the slope intercept form

What is the first step in solving the system by the substitution method?
x + 2y = 8
3x - 4y = 4
19
O Subtract 2y from cach side of x + 2y = 8
O Add x + 2y = 8 to 3x - 4y = 4
O Multiply x + 2y = 8 by-3
O Set x + 2y equal to 3x - 4y = 4

Answers

i think it’s multiply x+2y= by -3

please help and answer......

Answers

Answer:

C not like terms

Step-by-step explanation:

Answer:

the answer is LIKE TERMS because 10 doesnt have a variable of y

Step-by-step explanation: Brainliest please.

Other Questions
1. The era in which Mexico gained its independence from Spain and Anglo Americans started moving into Texas is called what? Which of the following characters is MOST believable? 1.A 12-year-old genius who is also a star baseball player wins the Nobel Prize for curing blindness.2.A teenage girl with a bad temper discovers that her best friend has a terminal illness. People who agree to work for a period of time in exchange for their passage to America were called:1. Apprentices2. Peasants 3. Slaves4. Indentured Servants Please help its Spanish 2 1. Describe cell differentiation and include any environmental factors that play a role in gene regulation. 2. Explain the types of cells produced by meiosis. Include in your explanation the number of daughter cells produced, the number of chromosomes in each and whether they are diploid or haploid. What is m PQR 3x+5 x+3 Who is the person that creates fun and challenging levels and works closely with environment modelers & animators? Which best describes a genetic mutation to a sequence of DNA that changes the way the sequence is read? Identify the subject, verb, indirect object, and direct object in the sentence below. Choose "none" for any of these elements not present in the sentence.The teacher gave Sam a lesson on honesty. Which of the following is a true statement about atomic nuclei? A barrel of crude oil was placed so that it was attached to a distillation tower. If the barrel were heated to a temperature of 250C, it would still contain Select the correct text in the passage.Select the sentence that is not the correct use of technology in parenting.Technology has helped parents to access a vast information resource due to the presence of the internet. They can show a range of educationmaterial like nursery rhymes, stories, scientific concepts, and so on conveniently on their smartphones. Teachers can coordinate with theparents about the child's progress due to smartphones and various applications on it. Some parents have replaced the customary practice ofreading a bedtime story to children with a television show of the child's choice.ResetNext In logical reasoning, what does "V" represent? Find dy/dx when x = tant and y = sint cost. three less than the product of 5 and a number is equal to 2 (Java)Convert the QuartsToGallons program to an interactive application. Instead of assigning a value to the number of quarts, accept the value from the user as input.class QuartsToGallonsInteractive{ public static void main(String[] args) { // Modify the code below final int QUARTS_IN_GALLON=4; int quartsNeeded=18; int gallonsNeeded; int extraQuartsNeeded; gallonsNeeded=quartsNeeded/QUARTS_IN_GALLON; extraQuartsNeeded=quartsNeeded%QUARTS_IN_GALLON; System.out.println("A job that needs " + quartsNeeded + " quarts requires " + gallonsNeeded + " gallons plus " + extraQuartsNeeded + " quarts"); }} correct answers only pls. Unless you will be reported. Also please include explanation. Does anyone want to read my stranger Things story. Its on Wattpad. Its called Stranger Things Elevens brother!! Type in that order. child supportchild support laws in Washington what does the phrase"You cant lead anyone if you cant lead yourself!"mean