The length of a cuboid is thrice the breadth and twice the length.if the volume of a box is 750 cm3 then find the measure of the box.​

Answers

Answer 1

Step-by-step explanation:

Let b is breadth and l is length of the cuboid such that,

Length, l = 3b and l = 2h

or

h = l/2

We know that, the volume of a cuboid box is given by :

V = lbh

Put all the values,

[tex]V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm[/tex]

Breadth, b = 16.5/3 = 5.5 cm

Height, h = 16.5/2 = 8.25 cm

Hence, this is the required solution.


Related Questions

what is the local maximum over the interval [-3, 1.5] for the graphed function?

A) 0
B) 56
C) -11.4
D) 2​

Answers

Answer:

56

Step-by-step explanation:

It's tempting to use the local maximum at the point (2, 0), but x = 2 is outside the interval given in the question!

Answer:

B) 56

Step-by-step explanation:

Can someone help me do this like the equation?!.

Answers

Answer:

36$

Step-by-step explanation:

A spinner is divided into 10 equal parts and numbered 1-10. Four of the parts are colored blue, four parts are colored red, and two parts are colored green.

What is the probability of spinning a 6? Write your answer as a decimal.

Answers

theres a slight chance of spinning a 6 0.06

Help me with this below

Answers

Answer:

PlayStation = 175

Step-by-step explanation:

X box = x

PlayStation = x+15

X box + PlayStation = 335

x + x+15 = 335

Combine like terms

2x+15 = 335

Subtract 15

2x+15 -15 = 335-15

2x = 320

Divide by 2

2x/2=320/2

x =160

x box =160

PlayStation = x+15 = 160+15= 175

Answer:

Playstation costs 175 pounds

Step-by-step explanation:

335 = 15 + x + x

335 = 15 + 2x

335 - 15 = (15 - 15) + 2x

320 = 2x

320/2 = 2x/2

x = 160

CHECK WORK:

(15 + 160) + 160 = 335

(175) + 160 = 335

335 = 335

ASAP
-WILL MARK BRIANIST

Answers

Answer:

part A: 83-8=75

part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!

Step-by-step explanation:

Write the missing terms (in the given order of missing):
3x-___+ ____+5y = 5x - y


A. 2x and 4y
B. 4y and 5x
C. 6y and 2x
D. 2x and 6y​

Answers

C. 6y and 2x

_____________________________

3x - 6y + 2x + 5y =

3x + 2x + 5y - 6y =

( 3 + 2 )x + ( 5 - 6 )y =

5x - y

Ryan has 10 quarters.
Kelly has exactly seven times as much money as Ryan.
They will combine their money to buy a game.
The game costs $27. How much more money do they need to
save?

Answers

Answer:

its b

Step-by-step explanation:

The line passes through the points (0, 2) and (-2, 2) is parallel to the line:

Answers

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

(-2-0)/(2-2)

The top of a storage container is a hemisphere with a diameter of 28 feet. What is the volume of the storage container? Round your answer to the nearest tenth

Answers

Answer:

5749.3 cubic feet

Step-by-step explanation:

The volume of the  storage container would be defined by the volume of the shape; a hemisphere

The volume V of  a hemisphere is given as

V = 2/3 π r^3

where r is the radius of the hemisphere

Given that the diameter is 28 feet, the radius = 14 feet

hence the volume

= 2/3 * π * 14^3

= 5749.333333

To the nearest tenth

= 5749.3 cubic feet

Solve the equation below. Show all your steps

5x−8=17

Answers

5x=17+8
5x=25
X=25/5
X=5

Answer:

x=5

Step-by-step explanation:

Add 8 on both sides first. Then divide both sides by 5 to isolate the variable.

5x-8=17

add 8 to both sides

5x=25

divide by 5 on both sides

x=5

I am in need for help please

Answers

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

What is the answer if you Factor 4x^2-256

Answers

Answer:

4(x + 8)(x - 8)

Step-by-step explanation:

We can start by finding the GCF of both terms. We can notice that both terms are divisible by 4, so we can factor it out:

4(x^2 - 64)

Now, we can notice that x^2 - 64 resembles the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, a^2 = x^2 and b^2 = 64.

So,

a = x

b = 8

We can substitute:

(a + b)(a - b)

(x + 8)(x - 8)

We can add the 4 from the beginning in to get:

4(x + 8)(x - 8)

Answer:

x = -8 and 8

Step-by-step explanation:

1st we can factor out a 4 so we get

0 = 4(x^2 - 64)

now can either factor it out some more or just solve for x.

if we factor it out more we get

0 = 4(x + 8)(x - 8)

we got x + 8 and x - 8 because 64 is a perfect root and it was negative. now we solve for x.

x = 8, x = -8

what is the answer to my problem

Answers

Please provide more context for our brains to understand your problem (: thank you!

PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST! TY BESTIES! Factor using GCF 20x^2+10x please show work

Answers

Answer:

10x(2x+1)

Step-by-step explanation:

20x^2+10x

2*10*x*x + 10 *x

Factor out the common terms

10x(2x+1)

Identify the slope of the line
y=-4- 1/6x

Answers

y=mx+b
y=-1/6x-4
slope= -1/6

Find the missing number to make these fractions equal.
2/8 = ?/4

Answers

Answer:

?= 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the missing number be x

2/8=x/4(do cross multiplication)

8*x=4*2

8x=8

x=8/8

x=1

The topic is about secant tangle anges

Answers

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?

Answers

Answer:

54461.33 cubic feet

Step-by-step explanation:

Given data

Height of cylinder= 40 feet

Radius= 20feet

Height of cone= 10 feet

Radius of cone= 20feet

Volume of Cylinder= πr^2h

Volume of Cylinder= 3.142*20^2*40

Volume of Cylinder= 3.142*400*40

Volume of Cylinder= 50272 cubic feet

Volume of Cone= 1/3πr^2h

Volume of Cylinder= 1/3*3.142*20^2*10

Volume of Cylinder= 1/3*3.142*400*10

Volume of Cylinder= 1/3*12568

Volume of Cylinder=4189.33 cubic feet

Hence, the volume of the silo = volume of cylinder+ volume of cone

Volume of silo= 50272+4189.33

Volume of silo=54461.33 cubic feet

Which could be the missing data item for the given set of data if the median of the complete data set is 15?

11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14

A: 16
B: 18
C: 20
D: 11

Answers

Answer:

A: 16

Step-by-step explanation:

its in between

Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?

Answers

Area of circular crust is pi*r^2 where r is the radius. Radius is one half diameter so area of crust is pi*(diameter/2)^2 = pi*(8/2)^2 = pi*4^2 = pi*16

The area of the crust that will cover the top of the pie is 50.24 square inches.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]

⇒ [tex]r=\frac{8}{2}[/tex]

⇒ [tex]r=4[/tex]

The area of the crust that will cover the top of the pie is

[tex]A=\pi r^{2}[/tex]

we know that the value of π is 3.14.

On substitute the above values,

⇒ [tex]A=(3.14)(4)^{2}[/tex]

⇒ [tex]A=(3.14)(16)[/tex]

⇒ [tex]A=50.24[/tex]

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

Learn more about circles here

https://brainly.com/question/16125353

#SPJ2

I need some help plz

Answers

Answer:

B : both containers are 50

Step-by-step explanation:

Since water in container 2 is in higher temp, it will transfer some of its heat to container 1 until both the containers reach same temperature. This is the concept of equilibrium that mother nature abides by.

please help with this one

Answers

Answer:

1st and 2nd to last

Step-by-step explanation:

Answer:

x< -3 is correct answer...........

What is the domain of the function

Answers

Answer:

third answer is correct

Step-by-step explanation:

Given the function: f (x) = (3 x + 4) minus (2 minus x) Evaluate for f (5). a. 22 b. 15 c. 16 d. 30 Please select the best answer from the choices provided A B C D

Answers

Answer:

A.22 is the answer

Step-by-step explanation:

When it says "f(5)", it is basically saying that what is the y-value if the x-value is 5. To find the y-value, we need to substitute 5 in for the variables. I have provided you with the steps.

The sum of the measures of angle P and angle Q in 180°. The measure of angle P is (4x + 12)°. The measure of angle Q is (2x - 24)°. What is the value of x?

Answers

Answer:

32

Step-by-step explanation:

Given

m<P = 4x+12

m<Q = 2x-24

If the sum of P and Q is 180, then;

4x+ 12 + 2x - 24 = 180

4x+2x+12-24 = 180

6x - 12 = 180

6x = 180+12

6x = 192

x = 192/6

x = 32

Hence the value of x is 32

rite 4 and 5 as a percentage​

Answers

Answer:

4/5 as a percentage is 80%

if you want to write 4 and 5 as a percentage . . .

You can't do that

CODES Use the following information to solve. A bank gives each new customer a 4-digit code number which allows the new customer to create
their own password. The code number is assigned randomly from the digits 1, 3, 5, and 7, and no digit is repeated.
• What is the probability that the code number will start with 371?
a 1/3
b 1/4
с 1/12
d 1/24

Answers

Answer:  D) 1/24

=============================================================

Explanation:

There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.

If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715

We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)

Given k > 3 and
( +
2x+2) dx = 10k
show that k3 – 10k2 + ak + b = 0
where a and bare constants to be found.

Answers

Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]\displaystyle \int_3^k\left(2x+\frac{6}{x^2}\right)\, dx = 10k, k>3[/tex]

And we want to show that:

[tex]k^3-10k^2+ak+b=0[/tex]

Integrate the definite integral:

[tex]\displaystyle x^2-\frac{6}{x}\Big|_{3}^{k}=10k[/tex]

Evaluate:

[tex]\displaystyle \left(k^2-\frac{6}{k}\right)-((9)-(2))\right)=10k[/tex]

Simplify:

[tex]\displaystyle k^2-\frac{6}{k}-7=10k[/tex]

Multiply both sides by k:

[tex]k^3-6-7k=10k^2[/tex]

Rewrite:

[tex]k^3-10k^2-7k-6=0[/tex]

Hence, a = -7 and b = -6.

would it be B or C? help me please :(

Answers

The answer is c, all of them will be equal to 3x except it

Answer:

2x^2

Step-by-step explanation:

2x+x

3x

x(2+1)

2x+x

3x

2x^2(no equivalent to other option)

3x

find the product.
enter your answer in simplest form.

6x2/3 = _=_

Answers

Answer: 4

Step-by-step explanation:

6 • 2/3 =
12/3 =
4
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