The length, breadth and height of a cuboid bear the ratio 5:3:2 . If it's total surface area is 279 cm²,find it's volume.​

Answers

Answer 1

Answer:

810 cm^3

Step-by-step explanation:

Since,the l(length) b(breadth) & h(height) of the cuboid bear the ratio 5 : 3 : 2 ,we could assume it as:

l = 5zb = 3zh = 2z

We know that,

Cuboid ( total surface area)= 2lb+2lh+2hb cubic units

So substitute the dimensions we assumed:

We could write it as;

[tex] \rm \: Total \; Surface\; area \: of \: the \; cuboid = 2(5z \times 3z + 3z \times 2z + 2z \times 5z[/tex]

[tex] \implies \rm \: 279 = 31 {z}^{2} [/tex]

Find z

[tex] \rm \implies {z}^{2} = \cfrac{279}{31} [/tex]

[tex] \rm \implies {z}^{2} = 9[/tex]

[tex] \implies \rm \: z = \sqrt{9} [/tex]

[tex] \rm \implies \: z = \sqrt{3 \times 3} = 3[/tex]

Hence, according to the formula,

Cuboid V = lbh

We got the dimensions of the cuboid, i.e.

Then, solve.

Cuboid V = lbh15 cm * 9 cm * 6 cm810 cm^3

Hence,the volume of the cuboid will be 810 cm^3


Related Questions

use the vertical line test to determine whether the graph is the graph of a function

Answers

Answer:

No the graph is not a function

Step-by-step explanation:

If you draw vertical lines onto the graph, multiple points will hit it.

Answer:

This graph is not a function

Step-by-step explanation:

The input x is used more than once

it is not a parabola

Mystery Measures
Determine as many angle measures as you can by
creating different designs.
Record your results and strategies on the worksheet.

Answers

Answer:

four squares or 3 hexagons

HELP!!! ASAP!!
Given: ABCD is an inscribed polygon.

Prove: ∠D and​∠B ​are supplementary angles.

Answers

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

ABCD is an inscribed polygon ⇒ Given

m∠ABC = 2(m∠D)                      ⇒ Inscribed Angle Theorem

m∠CDA = 2(m∠B)                      ⇒ Inscribed Angle Theorem

m∠ABC + m∠CDA = 360°         ⇒ The sum of arcs that make a circle is 360°

2(m∠D) + 2(m∠B) = 360°           ⇒ Substitution property

m∠D + m∠B = 180°                    ⇒ Division Property of Equality

Hence, ∠D and ∠B are supplementary angles

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Evaluate e0.2 to four decimal places

Answers

Answer:

grab

Step-by-step explanation:

hahahahaha

Please i need your help

Answers

Answer:

See below ~

Step-by-step explanation:

a) There are 3 feet in one yard.

b) There are 12 inches in one foot.

c) Two abbreviations for inches is in. and ".

d) Two abbreviations for feet is ft. and '.

What was discovered because of the changing phases of the moon? Please Help!!! Will Give Lots Of Points!

the moon's quarters

the moon's light source

the moon's eclipse

the moon's quarters

Answers

Answer:

Firstly, the moon keeps changing its shape with 4 distinct moon phases that depend on the position of the moon and also on the position of the Earth. The moon orbits around the planet Earth, and the Earth orbits around the Sun.

Step-by-step explanation:

Answer:

what is the process

Step-by-step explanation:

Examine the diagram.

Transversal n intersects lines l and m to form 8 angles. The angles formed with line l, clockwise from top left are 63 degrees, (15 x minus 3) degrees, blank, blank. The angles formed with line m, clockwise from top left are (8 x + 7) degrees, blank, 1, blank.

What is the m∠1?
the answer is 71

Answers

The measure of angle 1 is 71° ⇒ c

Step-by-step explanation:

Look to the attached figure:

∵ Line l intersect line n

∴ Angle 63° and angle (15x - 3) are linear pair

- The sum of the linear pair angles is 180°

63° + (15x - 3)° = 180°

- Add like terms

∴ 60 + 15x = 180

- Subtract 60 from both sides

∴ 15x = 120

- Divide both sides by 15

x = 8

∵ Line m intersect line n

∴ Angle (8x + 7) and angle 1 are vertical opposite angles

- The vertical opposite angles are equal in measure

∴ m∠1 = 8x + 7

∵ x = 8

- Substitute the value of x to find m∠1

∴ m∠1 = 8(8) + 7

∴ m∠1 = 64 + 7

∴ m∠1 = 71

The measure of angle 1 is 71°

Learn more:

You can learn more about the parallel lines in

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The radius of a circle is 18 miles. What is the circle's circumference?
Use 3.14 for ​.

Answers

given:

radius= 18 miles

to find:

the circumference of the circle.

solution:

[tex]c = 2\pi \: r[/tex]

[tex]c = 2 \times 3.14 \times 18[/tex]

[tex]c = 113.04[/tex]

[tex]c = 113\: miles[/tex]

hence, the circumference of the circle is 113 miles.

please help me factor this

Answers

2(x+12)(x-1) is the answer.

Answer:

(x+24)(x-2)=0

Step-by-step explanation:

2*-24=-48

factorise -48 to get 24 and -2 (which will add up to 22)

What is the solution set of equation x2 + 3x - 4 = 6?

Answers

X=2 or also x=-5 either works. Have a good day

People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.


7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4


box plot

dot plot

histogram

stem-and-leaf plot

Answers

The histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.

What is a histogram?

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have data:

7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4

We know on the left side skewed histogram has more data on the right and on the left side, there are less data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is less data on the right side and more data on the left side. It is also called a positive histogram.

Thus, the histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.

Learn more about the histogram here:

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Carlos buys 3 gallons of juice for a party. What is the greatest number of cups of
juice he can serve?
24 cups
16 cups
96 cups
48 cups

Answers

Answer:

48

Step-by-step explanation:

1 gallon=16 cups. So, 3x16=48 cups.

Hhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Abd

Step-by-step explanation:

upright

up

as the height increase the weight also does

Please answer . Just read and give the exact answer to each question ( please be numbered )

Answers

4.  B. 2 yards

5. C. 440 Millimeters

6.  2000 milliliters

Enter a recursive rule for the geometric sequence -10, 20, -40, 30 ...

Answers

Answer:

[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]

Explanation:

geometric sequence: [tex]\sf a_n = a_{n-1} \ x \ r[/tex]   where "r" is common ratio

[tex]\sf a_1 =a[/tex]

Find "r" = second term ÷ first term = 20  ÷ -10 = -2

Recursive rule:

[tex]\boxed{\sf t_n = r(t_{n-1})}[/tex]

[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]

Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 addition division multiplication subtraction PLES HELP I WILL GIVE BRAINLYEST

Answers

Answer:It's 18

Step-by-step explanation:Multiply 7 and 6 to get 42

Subtract 10 from 13 to get 3

Divide 42 by 3 to get 14

Add 14 and 4 to get 18

Answer:

18

Step-by-step explanation:

First do the ones inside the bracket (13-10)=3

Second divide 6 by the answer you get from the first part 6÷3=2

Third multiply the answer from second with 7×2=14

Then add the answer you get from the third one to 4+14=18

Mathematically

7×6÷(13-10)+4

= 7×6÷3+4

= 7×2+4

= 14+4

= 18 Answer

i got a question what is 2x92

Answers

Answer:

184

Step-by-step explanation:

Answer:

184 184 184 184 184 184

Step-by-step explanation:

184

Rafael's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 96 grams, how may grams of cocoa does it contain? Round your answer to the nearest tenth.

Answers

You can use the weight of the chocolate bar given and find its 37% to get the weight of cocoa used in it.

The weight of cocoa in the given chocolate bar is 35.52 grams.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

Since weight of cocoa = 37% percent of chocolate bar's weight which is 96 gram,

Thus,

[tex]weight[/tex] [tex]of[/tex] [tex]cocoa=\frac{37}{100}[/tex] × [tex]96=35.52[/tex]

Thus,

The weight of cocoa in the given chocolate bar is 35.52 grams.

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Find the exact value of ..
Х
15
6

Answers

Is the answer ur looking for 25

Use 24x -2 +2 >34 to figure out how much jimmy spent on his Fanta​

Answers

Answer:

x > 1.42 or x > 17/12

Step-by-step explanation:

24x - 2 +2 >34

The -2 and +2 cancel out

24x > 34

Now, we need to get x alone

24x/24 > 34/24

x > 34/24

34/24 can be simplifed too 17/12 by dividing by 2

x > 17/12

So Jimmy spent more than $1.42 on his Fanta​

Let me know if you have any questions !

In a packet of 40 Skittles, 12 are red. What percentage of the Skittles are red?​

Answers

Answer:

12/40×100= 30%

Step-by-step explanation:

12/40×100 = 12/2×5 =6×5= 30%

No link please……. Enter the value of b when the expression 30.4x + b is equivalent to 3.4 (6x-3.1)

Answers

Answer:

61

Step-by-step explanation

sped

Answer: b=−10x−10.54

Step-by-step explanation:

Let's solve for b.
30.4x+b=3.4(6x−3.1)

Step 1: Add -30.4x to both sides.

b+30.4x+−30.4x=20.4x−10.54+−30.4x

Answer: b=−10x−10.54

8(7n-2) -6(7n+1)

Explain please

Answers

Answer:

8(7n - 2) - 6(7n + 1) = 14n - 22

Step-by-step explanation:

8(7n - 2) - 6(7n + 1)

use the distributive property: a(b + c) = ab + ac

= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1

= 56n - 16 - 42n - 6

combine like terms

= (56n - 42n) + (-16 - 6)

= 14n - 22

Answer:

=> 14n - 22

Step-by-step explanation:

8(7n-2) -6(7n+1)

=> 56n - 16 - 42n -6

=> 14n - 22

Goldie's apple juice boxes hold 6.9 ounces. If there are 8 boxes in a package, how many ounces of apple juice are in a package?

Answers

Answer:

See below

Explanation:

You multiply 8 and 6.9
To get 55.2 ounces

Find the approximate radius of a circle with a
circumference of 41.78 centimeters.

Answers

Answer:

radius=6.65cm

Step-by-step explanation:

circumference=41.78cm

2×22\7×r=41.78cm

r=41.78×7\44

r=6.65cm

Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches

Answers

Answer:

The Correct answer is D. 312 Cubic inches.

Hope this helps you!!

Please Mark me Brainleast!!

Answer:

The Correct answer is D. 312 Cubic inches.

Hope this helps you!!

Please Mark me Brainleast!!

Work out the difference between 25 and of 81 2/9

Answers

That is the differnce between the 2 numbers and it is in a negative because the second number was bigger than the first number so if you don't need the negative don't put it in your answer

-56.22 is the difference between 25 and  [tex]81\frac{2}{9}[/tex]

What is Fraction?

A fraction represents a part of a whole.

A proper fraction has a numerator that is less than its denominator .

An improper fraction has a numerator greater than its denominator.

An improper fraction is always greater than one whole.

We need to find the difference between 25 and of [tex]81\frac{2}{9}[/tex]

Difference is nothing but subtraction. We need to subtract  [tex]81\frac{2}{9}[/tex] from 25

25 - [tex]81\frac{2}{9}[/tex]

25-731/9

25×9-731/9

225-731/9

-506/9

=-56.22

Hence -56.22 is the difference between 25 and  [tex]81\frac{2}{9}[/tex]

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E. Solve the Inequality

Answers

        - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

              Solve the Inequality.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

              x<-4

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                      First, add 6x on both sides:

-2x+3+6x<-13

Add the x's:

4x+3<-13

Now, subtract 3 on both sides:

4x<-13-3

4x<-16

Divide by 4 on both sides:

x<-4

So the values of x that are less than -4 will make the given inequality true.

Good luck.

            - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Question 16 of 40
A sample of 64 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 2. What is the 95%
confidence interval for the mean of the population?
OA. (24.75, 25.25)
OB. (24,26)
OC. (24.5, 25.5)
OD. (24.2, 25.8)
4
SUBMIT

Answers

C . ( 24.5 , 25.5 ) should be your correct answer

Bridget is tracking the amount of time she works out at the gym each day. The lengths of her
last 5 workouts were:
41 minutes 43 minutes 42 minutes 46 minutes 46 minutes
What was the range of the lengths of Bridget's workouts?

Answers

Answer:

The range is 5 minutes.

Step-by-step explanation:

To find the range of a data set, simply subtract the lowest value from the highest value.

46 - 41 = 5

Hope this helps

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