Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text by 20\text{ cm}20 cm20, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below. What is the volume of the art box not taken up by the eraser?

Answers

Answer 1

Answer:

1196cm^3

Step-by-step explanation:

Answer 2

The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

What is the volume of a rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

The volume of a box is the product of the base area and the height of the box,

Volume = base area × height

For the smaller base box,

base = 5 cm by 5 cm,

Therefore, the base area of the smaller base box

= 5 cm × 5 cm

= 25 cm².

Let the height of the smaller base box be h

The volume of the small box = 25 cm² × h

For the larger base box,

The base of 10 cm by 10 cm

Therefore, the base area of the larger base box

= 10 cm × 10 cm  

= 100 cm².

Let the height of the large base box be H.

The volume of the larger base box = 100 cm² × H

Since both boxes have the same volume so,

100 cm² × H  = 25 cm² × h

h / H = 4

h = 4H

Hence, The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

Learn more about a rectangular prism;

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Related Questions

Problem
Jun used 56\,\text{cm}56cm56, start text, c, m, end text of ribbon to go around the edge of a rectangular lid. The lid was 13\,\text{cm}13cm13, start text, c, m, end text long.
What is the width of the lid?

Answers

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

in the graph below point a represents owens house. Help me pleaseeeee

Answers

Answer:

I believe david lives 34 units away from the school. I cannot see Owen's house. It may be cut off.

Step-by-step explanation:

Answer:

Step-by-step explanation: 25.5

Pls help⚠️

The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.

Answers

9514 1404 393

Answer:

  A(x) = x(280 -x)

Step-by-step explanation:

The perimeter is given by the formula ...

  P = 2(L +W)

Using the given values, we can solve for the length of the rectangle:

  560 = 2(L +x)

  280 = L +x

  280 -x = L

The area is the product of length and width, so the area is ...

  A = LW

  A(x) = (280 -x)x

I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form has a slope of -1/2 and passes through the point (2, 3)

Answers

Answer:

        y = -¹/₂ x + 4

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -¹/₂

(2, 3)    ⇒   x₀ = 2,  y₀ = 3

The point-slope form of the equation:

y - 3 = -¹/₂ (x - 2)

So:

y - 3 = -¹/₂ x + 1         {add 3 to both sides}

y = -¹/₂ x + 4            ←  the slope-intercept form of the equation

estimate and find the quotion in 281 divided by 9

Answers

300 divided by 10
Answer is 30

What is the value for X

Answers

Answer:

The answer is 77.

I hope this helps.

WEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer: n^3/m^2

Step-by-step explanation:

first, i expressed it with a positive exponent.

1/m^2 x n^3

then, i calculated it from there.

n^3/m^2

write the expanded form of the expression y(0.5+7) please help me thanks!!!

Answers

Answer: y(0.5+7)

= 0.5y+7y

7.5y

Step-by-step explanation:

an = 3.5 +2.8 (n-1)
f(n) =

Answers

Answer:

f(n) = 2.8n + 0.7

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

x is the inputf(x) is the output

Let us solve the question

∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where

a[tex]_{n}[/tex] is the nth term ⇒ outputn is the number of the term ⇒ input

→ To write it as a function replace a[tex]_{n}[/tex] by f(n)

∵ a[tex]_{n}[/tex] = f(n)

f(n) = 3.5 + 2.8(n - 1)

→ Simplify the right side to make it in the form of the function above

∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)

→ Remember (+)(-) = (-)

f(n) = 3.5 + 2.8n - 2.8

→ Add the like terms in the right side

∵ f(n) = 2.8n + (3.5 - 2.8)

f(n) = 2.8n + 0.7

OMG HELP ME PLSSSSSS!!!

Answers

8*2*5= 80 because volume= length*width*height

What is the solution of the system of equations shown in the graph?
PLEASE HELP WILL GIVE BRAINLY

Answers

The solution would be -4,-2

This is because when it is a graph, wherever the two lines cross is the solution

A livestock pen is built in the shape of a rectangle that is four times as long as is wide. The total perimeter is 60 ft. Write an equation that models the perimeter in terms of width and/or length, find the length and width.

Answers

Answer:

Perimeter = 60ft = 2(4x + x)

breadth = 6ft

length =  24ft

Step-by-step explanation:

Perimeter = 2 (L + B)

L =length

B = Breadth

x= breadth

4x = length

Perimeter = 60ft = 2(4x + x)

Dividing both sides by 2 :

30ft= 4x + x

30ft = 5x

divide both sides by 5

6ft= x

breadth = 6ft

length = 4x= 4 x 6 = 24ft

A company makes Poppy Lapel Pins.
Each of them costs £1.10 to make.
In October it made 1000 lapel pins.
35% of them are given to charities.
The rest are sold in two formats: 60% of them at £3.00 each
40% of them at £5.00 for 2
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.

Answers

Answer:

1000 less 35% == 650

so 250 given to charity

total cost making the pins was 1000x 1.10 = 1100

so you need to find 60 percent of 650 =390

and 40 percent of 650 = 260

so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal

Then you have 260 ÷2 = 130 x 5 = 650

so you have 650+1170 = 1820 - 1100 cost to make =720 pounds

think this right

Pls help due ASAP and show workings pls

Answers

Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: [tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15[/tex]

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

what is the area of the real object that the scale drawing models?

a. 300 square cm
b. 12 square cm
c. 60 square cm
d. 25 square cm​

Answers

Answer:

60 square cm

answer c

Step-by-step explanation:

hsjsbsjsbjzbzjsbjzbshzi

Answer:

A 300 square cm

Step-by-step explanation:

HELP !!!.
I need help with these questions( see image).
Please show workings.

Answers

9514 1404 393

Answer:

a) 7b) -27c) 18d) 8e) 2f) 1

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)

Marcy brought 25 pencil for $1.50. What is the cost, in dollars, of 1 pencil.

Answers

The cost for 1 pencil is 6 cents
6 cents per pencil
:)))

Find the slope of the graph

Answers

the slope is 5/3x :)

an ice sculture measures 52 inches and melts continuously by 3% per minute. find the height of a sculpture after 15 minutes

Answers

Answer:

28.6 inches

Step-by-step explanation:

3 percent of 52 is 1.56 so it is melting at a rate of 1.56 inches per minute

15x1.56 is 23.4

52-23.4=28.6 so after 15 minutes the sculpture will be only 28.6 inches tall

Hello answer this I didn't study lol​

Answers

I’m pretty sure it’s negative
C) NEGATIVEHOPE IT HELPSTHANK YOU

how old am i? if my mother is 34 and she 21 years older then how old am i?∞

Answers

Answer:

ans below

Step-by-step explanation:

your gonna be 13

Answer:

13

Step-by-step explanation:

please mark this answer as brainlest

What is this math property called? Need help.

Answers

Answer:

identity property of zero

Step-by-step explanation:Got it right on a test

Answer:

Additive identity property

Step-by-step explanation:

Additive identity is a number, which when added to any number, gives the sum as the number itself. It means that additive identity is “0” as adding 0 to any number, gives the sum as the number itself. For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.

The width of a rectangular frame is 8 inches and the diagonal length of the frame is 17 inches. What is the length of the frame in inches?

Answers

15 because when you do the Pythagorean Therom 8squared plus the length squared equals 17squared so you get x squared equals 15

Solve the system by graphing.
y=-3x + 3
y= 1/2x-4

Answers

Answer:

y=58°

Step-by-step explanation:

calculator

Find the scale factor

Answers

Answer:

X = 10 or scale factor is 2.5

Step-by-step explanation:

first look at the scale factor going from 4 to 10, to get from 4 to 10 you would need to multiply 4 by 2.5. Since this problem doesnt give us the smaller scale factor first we need to divide 25 by 2.5 which equals 10.

Here now it’s simple: 2.5

please answer now!!!

Answers

Answer:8

Step-by-step explanation:

4x4=16 divided by 2 is 8

help me understand please will mark brainliest

Answers

Answer:

2 (l+b)= 70

2(l+13)=70

2l+26=70

2l= 44

l=22

Step-by-step explanation:

Hope this helps!!!

On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.

Answers

Answer:

10 5

Step-by-step explanation:

Answer:  Yes

Step-by-step explanation:

First find the unit rate by find the cost per box.

To find the cost per post you will divide the cost by the number of boxes.

5/ 2 = 2.5

7.50/ 3  = 2.5  

2.5  is indeed equal to 2.5 so they are equivalent.


I always get lost when it comes to linear equations or system. please help :( :)

Answers

Answer: D

Step-by-step explanation:

Which calculation will ALWAYS give a result greater than 1? 89 × a number less than 1 7 × a number less than 1 125 − a fraction less than 25 37 + a fraction less than 12

Answers

Answer:

The answer is "Option C".

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]

Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.

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