The width of a box is two-third of its length and height is
one-third of its length. If the volume of the box is 1296 m3,
ind the area of base of the box.​

Answers

Answer 1

Answer:

216m² is your answer

Step-by-step explanation:

given

width [b]=2/3 ×l

length [l]=l

height [h]=1/3 l

we have

volume of cuboid =l×b×h

1296m³=l×2/3×l×1/3×l

1296m³=2/9×l³

l³=1296×9/2=5832

l³=18³

length [l]=18m

breadth [b]=2/3×18=12m

area of base of box =l×b=18×12=216m²


Related Questions

Please help!! Find the value of x and y

Answers

the value of "x" is 5 and the value of "y" is 12

A classroom has 20 seats arranged in 5 rows of 4 seats each. Each student is randomly assigned a seat.

What is the probability that the first student is placed in the first row?

Answers

The probability that the student is placed in the first row is 1 of 5

1 / 5

I like orange juice.

what is the measure of GAB

Answers

Answer:

180°

Step-by-step explanation:

the measure of GAB is 180°

Answer:

TRUBOMAT GAB measures the turbidity of liquid applying nephelometric method. For this purpose, a combined transmitted & scattered beams measurements are used, in which a transmitter and a receiver face each other and another transmitter is arranged orthogonally (at an angle of 90 °).

please mark as brainliest

3. Find the value of x in the diagram below
X
6 cm
5
4 cm
3 cm
R​

Answers

Answer:

4cm is the correct answer

Select the equation that is in standard form.


a

y=7x+2

b

y-7=x+8

c

2x+8y=3

d

y=x

Answers

Answer: c
Explanation: the standard form for linear equation in two variables is ax+ by= c

how long does it take to empty out the pool

Answers

Answer:

16 Hours

Step-by-step explanation:

25 x 20 x 4 = 2000ft cubed.

2000ft divided by 125ft cubed = 16

help me plz..

the pair of line represented by equation 9x²+12xy+(k+1)y²=0 coincide, find the value of k​

Answers

Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

The value of k will be;

⇒ k = 3

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Solve each equation
a. 1/7x + 3/4 = 9/8
b. 2/3 + 1/5x=5/6
c. 3/2 = 4/3x + 2/3
d. 0.3x + 7.9 = 9.1
e. 11.03 = 8.78 + 0.02x

Answers

Answer:

e i hope that is correct answer

Answer:

a. x=21/8

b.x=5/6

c.x=5/8

d.x=4

e.x=112.5

Step-by-step explanation:

Use the information provided to write the standard form equation of each parabola. (Plzzzz help me)

Answers

Answer:

I think you are in a test..You should do by your own

Are the two triangles similar to one another? *
1 point

Answers

Answer:

yes

Step-by-step explanation:

......................
4 x4 x4 x5 x5

Answers

The Answer is 1600
Hope this helps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]

[tex]\mathsf{4\times4 = \bf 16}[/tex]

[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]

[tex]\mathsf{16\times4 = \bf 64}[/tex]

[tex]\mathsf{\bold{64}\times5\times5 }[/tex]

[tex]\mathsf{64\times5 = \bf 320}[/tex]

[tex]\mathsf{\bold{320}\times5}[/tex]

[tex]\mathsf{= \bf 1,600}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

“What kind of exponent does this graph have “ will give brainliest!

Answers

Answer:

Can i put down no clue lol

But the answer should be EVEN

Step-by-step explanation:

Answer:

even

Step-by-step explanation:   lol i was about to pick no clue

If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?


PLZ HELP

Answers

4+5x3^2-3*tfnsnciscjsn

Answer:

b. 3/2

Step-by-step explanation:

   

Justin has $0.90 worth of nickels and dimes. He has a total of 15 nickels and dimes altogether. Determine the number of nickels, x,x, and the number of dimes, y,y, that Justin has.

Answers

that is a virus link do not click, it might be $35y x 3

ANYONE KNOW THISSS NEED HELP ASAPPP CANT FAIL THIS!!!

Answers

i would say s but i dont know

14cm
12 cm
22cm. Find the area.

Answers

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

can you help me with this, please? ​

Answers

15+8=23, 23 is your answer

Please help me out!!! I am stuck!!! Brainiest will be marked!!!

Answers

the points are: (-3, -20) (6, 79) (2, 35)

Is 1 hour is 9 miles, how many hours is 15 miles?

1 hr = 9 mi

__hr = 15 mi

Answers

1.67 hr or 1 and 2/3 hours
Or 1 hour and 40 min

Each set of three numbers represents the lengths, in units, of the sides of a triangle. Which set can not be used to make a triangle?

A: 7, 6, 14

B: 4,4,4

C: 6, 6, 2

D: 7, 8, 13

Answers

Answer:

A. 7,6,14

Step-by-step explanation:

Rules for side lengths of triangle.

1. Any side should be less then the sum of the other two angles.

2. The same side should be greater than the subtraction of the other side lengths(bigger side - smaller side)

A.

7 < 6+14 .  Correct

7> 14-6 .     Incorrect

This cannot be a solution (impossible)

B.

4<4+4 .  Correct

4>4-4 .  correct

This is a solution (equilateral triangle)

C.

6<6+2 .  Correct

6>6-2 .  Correct

This is a solution (isosceles triangle)

D.

7<8+13 . Correct

7>13-8 . Correct

This is a solution (scalene triangle)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

what shape would be made if you cut a rectangular pyramid diagonally?

Answers

Answer:

You would get a trapezoid shape.

Step-by-step explanation:

HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)

Answers

Answer:

should be A sorry if I'm wrong

In AGHI, the measure of ZI=90°, the measure of ZG=46°, and IG = 87 feet. Find the
length of GH to the nearest tenth of a foot.

Answers

Answer:

125.2

Step-by-step explanation:

What is the value of x? Enter your answer in the box.

Answers

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?

Binaya spent 9/10 of his pocket money. He has Rs 120 left now. Find:. (i) how much money did he spend ? (ii) how much money did he have?​

Answers

Solving a linear equation we will find that they spent a total of Rs 1.080 and they initially had Rs 1,200.

How much money did he spend?

Let's assume that initially they had M money, we know that they spend 9/10 of it, so now they have:

(1/10)*M

And we also know that at the end Binaya had Rs 120, so we can write the linear equation:

(1/10)*M = Rs 120

Solving that for M we will get:

M = 10*Rs 120

M = Rs 1,200

And the amount that they spent is 9/10 of that, so it is:

(9/10)* Rs 1,200 = Rs 1,080

So, they spent a total of  Rs 1,080 and they initially had a total of Rs 1,200

Learn more about linear equations:

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A number is 11 less than 3 times another number. The sum of the numbers
is 25. What are the two numbers?
Can you please send the work too

Answers

Step-by-step explanation:

this is simple use it and enjoy

Step-by-step explanation:

Let x be the first number

Let y be the 2nd number

given,

[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]

as equation 1

and

[tex]x + y = 25[/tex]

as equation 2.

Now we will use elimination method to solve for simultaneous equations.

We will use equation 1 - equation 2 to eliminate x to solve for y.

[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]

Substitute y into equation 2.

[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]

The numbers are 9 and 16.

HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE
Which numbered choice below
represents the equation used to
develop the chart of values seen
at the right?
1) x + y = -5 2) y = -x + 7
3) x - y = 5 4) y = x + 5

Answers

Answer:

the answer would be (4) or y=x+5

Step-by-step explanation:

-4+5 = 1 y=1 check

0+5=5 y=5 check

and so on.

simplify
(4/9) to the power of 2

Answers

The answer is 16/81. in decimal for is 0.19753086....

PLEASE HELP!!!!!!!!!!

Answers

The answer is the first one

A stone is thrown horizantally with a velocity of 50 m/s from the top of a building. Find its velocity after 2 seconds.

Answers

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

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