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


John is 27 years old. His brother James is 15
years old. What is the ratio of John's age to
his brother's? A. 5:9 B.9:4 0.9:5
D.3:5 E. 5:3​

Answers

Answer:

C. 9:5

Step-by-step explanation:

I got a 100 on my test


Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages Is 180 and the standard deviation is 30
pages, what can you conclude?
ΟΑ
About 60% of the books have fewer than 150 pages.
ОВ.
About 16% of the books have fewer than 150 pages.
Ос.
About 95% of the books have more than 150 pages.
OD.
About 16% of the books have more than 150 pages.
Reset
Next

Answers

Answer:

above 95 percentage is the correct answer right away

If−3x − 7 = 23, then 6x =_____?

Answers

Answer:

22

Step-by-step explanation:

We will first find the value of x .

Then we will multiply 6 to the value of x

x^2 - 11x + 24 =0 in a b c form

Answers

Answer:

x^2-11x=-24

Step-by-step explanation:

Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100

A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)

Answers

A. ( x+ 10) (x-10)

The rest are false

Where should i put it and what does the question mean

Answers

Answer:

-10

Step-by-step explanation:

it is asking you to graph the opposite of 10. The opposite of any number is just the same number put negative. So you would click on -10 as the answer.

I believe its negative 10

Which is the slope of the line that passes through the points (3,5) and (8,7)?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m=\boxed{\frac{2}{5}}[/tex]

»»————- ★ ————-««  

Here’s why:  

The formula for the slope of two given lines given is 'rise over run'.

⸻⸻⸻⸻

[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]

⸻⸻⸻⸻

We are given the points (3,5) and (8,7).

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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Which expression is equivalent to (x^1/2y^-1/4z)^-2

Answers

Answer:

[tex]\sqrt{y}[/tex] ÷ xz²

Step-by-step explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x · [tex]\sqrt{y}[/tex] · 1/z²

=  [tex]\sqrt{y}[/tex] / xz²

pls help lol I don’t understand it at all :((

Answers

Answer:

I only know these, I am not sure of the answers too.

Step-by-step explanation:

Types of angles : 20°(acute angle), 90°(right angle)

Key information :

Equation : 20° + x° = 90°

Solution : x = 70°

go to my page and answers my questions for an additional 30 points

Answers

Okay , yes siirrrrrrr

Fine the area of a triangle with :base=7ft and height =5ft

Answers

Answer:

Step-by-step explanation:

7 x 5 = 35

35/2 = 17.5

[tex]17.5ft^{2}[/tex]

The area of the given triangle is 17.5 ft²

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given a triangle with base=7ft and height =5ft

We know that area of a triangle = 1/2 × base × height

Therefore, the area of a triangle = 1/2 (7)(5) = 17.5 ft²

Hence, the area of the given triangle is 17.5 ft²

For more references on area, click;

https://brainly.com/question/27683633

#SPJ2

A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?

Answers

Answer:

508.69

Step-by-step explanation:

...

Select the correct answer.
Describe the end behavior of the given function.
$(-) = 0) – 2
O A. As x decreases, (x) approaches 2.
OB.
As x decreases, Ax) approaches negative infinity.
OC. As xincreases, fx) approaches infinity.
OD. As x increases, Ax) approaches -2.

Answers

Answer:

answer is a

Step-by-step explanation:

Describe the end behavior of the given function.

$(-) = 0) – 2

O A. As x decreases, (x) approaches 2.

OB.

As x decreases, Ax) approaches negative infinity.

OC. As xincreases, fx) approaches infinity.

OD. As x increases, Ax) approaches -2

Answer:

C.

Step-by-step explanation:

(Use desmos graphing calculator to graph it...)

1. The diameter of a cylinder is 48 meters. What is the radius?​

Answers

Step-by-step explanation:

diameter of cylinder is 48m

radius= diameter/2

48/224m

stay safe healthy and happy.

Answer:

24 meters

Step-by-step explanation:

1. Radius is half of a diameter

2. d = 48 meters

3. r = d/2 = 48/2 = 24 meters

A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fencing material is to be used, what are the dimensions of the largest rectangular field that can be fenced? What is the maximum area?

Answers

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

PLEASE I NEED HELP!!

Answers

Answer:

t=75

h=19

x=9

s=6

Your welcome (:

PLEASE PLS HELP THANK YOU

x = ___ cm

Answers

Answer:

x = 7

Step-by-step explanation:

5/(40+5) = 3/(2x+10+3)

1/9 = 3/(2x+13)

2x+13 = 3×9

2x = 27 - 13

x = 14/2

x = 7

Answer:

Step-by-step explanation:

Since they are directly proportional:

5cm -> 3cm

40cm -> y

y = 120/5

 = 24cm

2x+10 = 24

2x = 14

x = 7cm

Feel free to mark it as brainliest :D

Carter wants to cover his bedroom window with a piece of plywood to prepare for an upcoming storm. The window measures 4 1/2 feet tall and 2 1/4 feet wide. Find the area of the window.


fast please

Answers

Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8

                                                   

Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles

Answers

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

[tex]\frac{miles}{hrs}:[/tex]

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:

638x = 4466 so

x = 7 hrs

PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE. ​

Answers

Answer:

y = 3/2  when x = 15

Step-by-step explanation:

y = k / √1+x  

2 = k / √1+8 = k/3  

k = 6  

y' = 6 / √1+15 = 6/4 = 3/2

A class of 35 students has 15 honor students and 10 athletes. Five of the honor
students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student.

(Round to the nearest thousandth.)

Answers

Answer:

5/35 both or 14.285%

Step-by-step explanation:

15/35 honor students

10/35 athletes

5/35 both or 14.285%

I could be wrong.

I need help please!!:)

Answers

Answer:

No bcuz its not on the line

Step-by-step explanation:

No because it’s right on the line

18) What value of x makes R(x) = 10
5 points
18
16
R(x)
12
10
D(x)
8-
8
Please help I don’t have much time

Answers

Two Answers:  x = 2 and x = 10

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

Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

5w-8/3 =4w+2
Please solve with steps

Answers

Answer:

5w-8/3=4w+2

-8/3=-1w+2

-8=-1w+6

-14=-1w

14=w

Hope this helps, have a great day :)

What number makes the equation true?

Answers

-2 1/3 is the answer

A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?

Answers

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]

Help me please please

Answers

Answer:

a)

[tex]EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]

b)

EG² = GH*GFEG² = 4*12EG² = 48EG = √48 = 4√3

Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?

Answers

remainder: -4x-4

whole answer: x^2+4x-3+-4x-4/x^2+1
(only -4x-4 is over x^2+1)

A geometric sequence has the terms with values a5=58 and a10 = 440.4375.
Part A: Determine what the common ratio is.

Answers

Answer:

1.5

Step-by-step explanation:

58(r)^5 = 440.4375

r^5 = 440.4375 / 58

r^5 = 7.59375

r = 1.5

If the interest of a sum at 7.5% p.a in 4 years is Rs. 1050, find the sum​

Answers

~Refer to the attachment for the solution.

[tex] \to \bf { Sum = 3500 } [/tex]

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