How many cubes of edge 4cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively.​

Answers

Answer 1

Answer:

90 cubes.

Step-by-step explanation:

First we find volume of the cuboid.

Volume = l x b x h = 20 x 18 x 16 = 5760 cm³

Now,

Volume of a single cube = l³ = 4³ = 64

No of cubes that can be cut out from the cuboid is

= Volume of cuboid/ volume of cube

= 5760/ 64

= 90 cubes


Related Questions

A school band performed a concert on four different days. The band sold tickets and snacks each day of the concert for a fundraiser. The first table shows the numbers of tickets sold and the amounts of money collected from ticket sales. The second table shows the numbers of snacks sold and the amounts of money collected from snack sales. If each snack costs the same price, what is the price per snack?

Answers

Answer:

$1.25

Step-by-step explanation:

There is a lot of unnecessary extra information we can ignore here. Simply divide the amount collected on any given day by the number of snacks sold.

53.75 / 43 = $1.25

Double check via another day:

45 / 36 = $1.25 ~ yup!

The price per snack is $1.25.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.


We have,

From the table,

We see that,

43 snacks = $53.75

This means,

1 snack = 53.75/43 = 1.25

Similarly,

36 snacks = 45

1 snack = 45/36 = 1.25

Thus,

The price per snack is $1.25.

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Pleas help I will give brainliest also please show how you did it please

Answers

Answer:

for n ≤ 3

we are going to put a circle on the 3 and make it filled in then you are going to start an arrow starting from the 3 going to the left all the way to the -10.

Answer:

n ≥ -1 or n ≤ 3

Combined:

-1 ≤ n ≤ 3

Since the inequalities are ≤, it'll be a closed circle

The closed circle will start AT -1 and another closed circle will end at 3

What is the explicit formula for the geometric sequence 15, 3, 0.6,
0.12, ...?

Answers

Answer:

A

Step-by-step explanation:

first num is 15

ratio is 0.2

formula is a.r^n-1

Can please someone help me out and explain it step by step. Thank you

Answers

Answer:[tex]x=7, \ y=-2[/tex]

Step-by-step explanation:

Given

Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]

take [tex]3x-y=23[/tex]

[tex]y=3x-23[/tex]

Put the value of y in another equation

[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]

Put the value of x in y

[tex]y=3(7)-23=21-23=-2[/tex]

Hence, [tex]x=7, \ y=-2[/tex]

Find the surface area of a basketball with a diameter of 10 in.




400π in²

10π in²

100π in²

25π in²

Answers

Answer:

100 pie

Step-by-step explanation:

Find the surface area of a basketball with a diameter of 10 in.

100π in²

10π in²

400π in²

25π in²

The surface area of the basketball is 100π square inches.

The correct option is C.

What is the surface area of a sphere?

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The shape of the basketball is spherical.

The diameter of the basketball is 10 inches.

So, the radius of the basketball = 10/2 = 5 inches.

The surface area of the basketball,

= the surface area of the sphere.

= 4πr²

= 4π(5)²

= 2π25

= 4 x 25π

= 100π square inches.

Therefore, the surface area is 100π square inches.

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Can anyone help me I would really appreciate it.

Answers

Answer:

7c + 4 = 8

7c = 8 -4

7c = 4

c=4/7

(WORTH 25 POINTS and il give brainliest to the first person to answer) Miguel is building a doghouse he cuts one sheet of wood to make the front wall he also cuts out a door that is 2 ft by 2 ft the dimensions in feet are shown in the diagram. miguel needs to paint the wood. what is the area he needs to paint? 1. what is the area of the rectangular price of wood before the square is cut out? include units with your answer. ​

Answers

Answer:

umm 4 ft

Step-by-step explanation:

Answer:

12 ft sq.

Step-by-step explanation:

20x^2-12x-8
a. (10x+2) (2x+5)
b.(5x+2) (4x-4)
c. (5x-2) (4x+4)
d. (10x-2) (2x-5)

Answers

Answer:

B

Step-by-step explanation:

20x^2 - 12x - 8

4 ( 5x^2 - 3x - 2 )

5 * - 2 = - 10

Factors of - 10

1 , - 10

10, - 1

2, - 5

5, - 2

5x^2 - 5x + 2x - 2

5x (x - 1)  2 (x - 1)

4 (x - 1) (5x + 2)

(4x - 4) (5x + 2)


Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)

Answers

3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it

Which statement does not describe the graph of f(x) = -3
3 (*)*-+2?
A As x→ 00, f(x) +0.
B As x→-0, f(x) →-0.
© The y-intercept is (0, -13).
D The asymptote is y = 2

Answers

It’s is Wright and you are going to come at the park tomorrow at night and then we can go tomorrow we

lll give points and brainalist for correct answer / explanation

Answers

Answer:

D

Step-by-step explanation:

A.  false; the diameter of a circle is double the radius

B.  false; the diameter of a circle is double the radius

C. false; the diameter of a circle is double the radius

D. true! The diameter is double the radius

What is the value of this expression? {18÷(2+4)}+3×2 Enter your answer in the box.

Answers

Answer:

The value of the expression is 78

Step-by-step explanation:

Answer:

Step-by-step explanation:

{18÷(2+4)}+3×2 = {18÷6}+3×2

= 3+3×2

= 3+6

= 9

I will send a pic to you​

Answers

Answer:

agreed

Step-by-step explanation:

agreed...............................

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Find the missing value(s) in this ratio table. Pens: 3 6 ? Pencils: 4 ? 12

Answers

Pen is 3 x 2 = 6

Pencils s 4 x 3 = 12

The difference between three times a number and 5 is 10.

Answers

Answer:

Equation: 3x-5=10

Answer: X=5

Step-by-step explanation:

3 times a number (represented as X) and 5 (means subtract by 5)

3x-5=10

Add 5 on both sides

3x=15

X=5

Answer:

3(5) - 5 = 10  

15 - 5 = 10  

10 = 10 x = 5

Step-by-step explanation:

Three times a number is 3x because you do not know the number.  

Add five to both sides of the equation.  

Divide both sides of the equation by 3 and the solution is x = 5

Use the distributive property to write an equivalent expression. 4(2x+3)

Answers

Answer:

20x

Step-by-step explanation:

4(2x+3)

4(5x)

4x5x

20x

Suppose that you have a bowl of 500 m&m candies, and each day you eat 1/4 of the candies you have. Is the number of candies left changing linearly or exponentially? Write an equation to model the number of candies left after n days.

Answers

Answer:

[tex]500(.75)^{n}[/tex]

Step-by-step explanation:

It is changing exponentially because if you are eating a fraction of the left over m & m's, that is a different amount each time so it can't be linear.

500(1-(1/4))^n

[tex]500(.75)^{n}[/tex]

Initial quantity of the candies = 500

If we eat [tex]\frac{1}{4}[/tex] candies each day, number of candies after one day

= 500 - [tex]\frac{1}{4}\times 500[/tex]

= 500 - 125

= 375

Number of candies after two days

= 375 - [tex]\frac{1}{4}\times (375)[/tex]

= 281.25

Therefore, sequence formed will be.

500, 375, 281.25.......n days

Ratio of 2nd and 1st term = [tex]\frac{375}{500}[/tex] = 0.75

Ratio of 3rd and 2nd term = [tex]\frac{281.75}{375}[/tex] = 0.75

Therefore, there is a common ratio of 0.75 in each successive and previous term.

And the sequence will be a geometric sequence.

Expression for the exponential decay is,

[tex]A=A_0(1-r)^n[/tex]

Here, A = Final amount

[tex]A_0=[/tex] Initial amount

r = percentage decrease

n = duration

From the given question,

[tex]A_0=500[/tex]

r = [tex]\frac{1}{4}=\frac{25}{100}[/tex]

Therefore, equation for the decrease in number of candies will be.

[tex]A=500(1-0.25)^n[/tex]

[tex]A=500(0.75)^n[/tex]

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Daniel is making cupcakes for a school bake sale. He wants to make 120 cupcakes. So far he has made 65% of them. How many more cupcakes does he need to make?

Answers

22
0.65*120=78
First divide 65 and 100 you will get 0.65.
Then just multiply your whole number.

buna seara ce faceti eu sunt un om

Answers

Answer:

5

Step-by-step explanation:

Answer:

Sunt și bărbat, ești foarte înfiorător

Step-by-step explanation:

How much time will it take for an amount of Rs900 to yield Rs81 as interest at 4.5% per annum of simple interest

Answers

Answer:

T=2 years.

hope it will help u.

nine times the difference between 4 and a number is24.what is the number.​

Answers

Answer:

9×24-4

216-4

212

Step-by-step explanation:

I am not sure, but it might help you

Answer:

n = [tex]\frac{4}{3}[/tex]

or (because the wording is kind of confusing)

n = [tex]\frac{20}{3}[/tex]

Step-by-step explanation:

9(4 - n) = 24

36 - 9n = 24

-9n = -12

n = [tex]\frac{4}{3}[/tex]

or (because the wording is kind of confusing)

9(n - 4) = 24

9n - 36 = 24

9n = 60

n = [tex]\frac{20}{3}[/tex]

what is the value of x?

Answers

Answer:

40

Step-by-step explanation:

135-95

im not 100% sure tho

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work. Which change to Natasha's survey process would make the data more reliable? A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included. B. Have workers complete a written survey so there is a written record of the responses. C. Ask a randomly selected sample of people who use public transportation whether their office is in the building. D. Use a different sample size so the predicted number of workers who use public transportation is a whole number.

Answers

Answer:

A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

Step-by-step explanation:

Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

We have given that,

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.

We have to determine that,

a change to Natasha's survey process would make the data more reliable.

What is random selection?

Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection each sample has the same probability as other samples to be selected to serve as a representation of an entire population.

Randomly select the sample in the lobby of the building

So workers who do not enter the cafeteria can be included.

Therefore the correct option is A.

Thus, Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

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PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

197 in²

Step-by-step explanation:

TOP 5x5=25

BOTTOM 9x5=45

BACK 5x5=25

SLOPED FRONT 6.4x5=32

TRAPEZOID SIDE (9+5)/2x5=35 (each), so 70

25+45+25+32+70=197

A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree

Answers

Answer:33.95 m

Step-by-step explanation:

Given

The height of the man is 2 m

Distance between man and tree is 30 m

the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]

from the figure,

[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]

Using Pythagoras we can write

[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]

Thus the distance between the men eyes to the top of the tree is 33.95 m

In a particular library, 18% of the books are children's books, 53% of the books are adult fiction, and the rest are adult nonfiction. You select 3 books at random; what is the probability That none of them are children's books?

Answers

Answer:

3321 / 12500

Step-by-step explanation:

P (not child, not child, not child) = 82/100 × 81/100 × 80/100

20. The top layer of a circular wedding cake has a
diameter is 15 inches. The bottom layer of the circular
wedding cake has radius is 30 inches. How many times
greater is the circumference of the bottom layer than
the top layer?

Answers

Answer:

4 times

Explanation:

tc = 15×π = 47.12.. in

bc = 2×30×π = 188.49.. in

bc = 188.5/47.12 = 4 times

need help with this ‼️

Answers

Heyy
GO to math-way it’s a algebra calculator it works type this problem in

Find the area of the shape shown below.

Answers

Answer:

6

Step-by-step explanation:

Area of sq:

A = bh

A = (2)(2)

A = 4

Area of triangle:

A = 1/2bh

A = 1/2(2)(2)

A = 2

Combined:

4 + 2 = 6

Answer is 6 because

I’ll give points and brainalist for correct answer

Answers

Answer:

A. 2

Step-by-step explanation:

Circumference of a circle = 2πr

if π = 3.14

and C = 6.28

6.28 = 2(3.14)r

r= 1

d= 2r

d= 2 * 1

d= 2

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