The length of a cuboid is one more than its breadth and the perimeter of its base is 18 cm. If its
lateral surface area is 54 sq. cm, find the volume of the cuboid.

Answers

Answer 1

Answer:

60 cm^3

Step-by-step explanation:

The computation of the volume of the cuboid is given below:

let us assume the length be l

and b the breadth

So

l = b + 1

And, the perimeter is

2(l + b) = 18

2l + 2b = 18

2b + 2 + 2b = 18

b = 4

And l = 5

Now

2(l + b) × h = 54

2(5 + 4 ) × h = 54

h = 3

Now the volume of the cuboid is

= l × b × h

= 5 × 4 × 3

= 60 cm^3


Related Questions

Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?

Answers

Answer:

Step-by-step explanation:

1.25p=6600

p=6600/1.25

p=5280

If x = -2, which inequality is true?

2x + 6 < -1

2x - 3 > 6

-5 + 3x > 1

3 - x < 10

Answers

Step-by-step explanation:

The answer of this question is -5 + 3x > 1

If my answer is wrong so I am really sorry for it

3. Find the value of 18 – 3 x 5 - 2. Guys please I need help!!

Answers

Answer:

1

Step-by-step explanation:

Remember PEMDAS:

P: we have no parenthesis, so skip this step.

E: no exponents either.

MD (multiplication and division): we have 3x5. when we calculate this, it is equal to 15. Therefore our equation is now simplified to 18-15-2.

AS (addition and subtraction): Subtract in order of first to last. The answer is 1.

What is the equivalent expression for 4(w-5)?

Answers

Answer:4w-20

Step-by-step explanation:distribute

how do you draw a linear graph equation for y=7​

Answers

Answer:

wait pag iisipan ko that konting saglit

Answer:

line going left and right on the 7 in the y axis.

Which of the following equations correctly represents the law of sines?

Answers

The correct answer is A
The answer is option A.

Diane has 7 meters of fabric to make a dress. One meter is approximately 1.1 yards. How many yards of fabric does Diane have?

Answers

Answer:

7.7 yards & 14.04 gallons

Step-by-step explanation:

so theres 1.1 yards per meter which can be written out as

1.1 yds/1 meter

multiply that by 7 meters would get you 7.7 yards

same with the punch:

0.26 gallons/ 1 liter times 54 liters = 14.04 gallons

A bag of marbles contains 6 blue, 18 green, 4 red, 2 yellow, and 10 black marbles what is the probability of drawing a green marble?

Answers

9/20 or 45% is the correct answer!6 + 18 + 4 + 2 + 10 = 4018/40simplifies to9/20OR45%Please let me know if I am wrong.

!! HELP, I NEED HELP QUICKLY OR THE ANSWER!!!
Math quiz: expressions and equations
Jeremiah has three more than twice as many pencils as Spencer. If s represents how many pencils Spencer has, which is an algebraic expression that represents the number of crayons that Jeremiah has?

A. 3s + 2
B. 2s + 3
C. 5s
D. 6s

Answers

the answer should be a

Jdjdjdjdjjdjdjjsjdjsjsjsk

Answers

Answer:

the 2nd answer

Step-by-step explanation:

i dont know how to explain it but the 2nd onr

Please help me its due today

Answers

Answer:

The second one and the third one.

Step-by-step explanation:

The answer is 5*2+5*4

what are the factors of 21
a. 2 and 7 b. 3 and 8 c. 3 and 6 d. 3 and 7

what are the factors of 54
a. 2 and 7 b. 6 and 9 c. 3 android 6 d. 3 and 7 ​

Answers

Answer:

21: 3and 7 factors

54: 6and 9 factors

Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
-2x+9≤5x-12

Answers

Answer:

x>3

Step-by-step explanation

-2x+9≤5x-12

Step 1: Subtract 5x from both sides.

−2x+9−5x≤5x−12−5x

−7x+9≤−12

Step 2: Subtract 9 from both sides.

−7x+9−9≤−12−9

−7x≤−21

Step 3: Divide both sides by -7.

−7x−7≤−21−7

Answer:

x≥3

The solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

According to the question

Solution set of inequality -2x+9≤5x-12.

-2x+9 ≤ 5x-12

-2x-5x ≤ -9-12

-7x ≤ -21

x ≥ 3  (sign changes as -ve sign eliminates )

Highlighted part in graph shows points

Hence, the solution set to this inequality -2x+9≤5x-12 is x ≥ 3 .

To know more about inequality  here:

https://brainly.com/question/20383699

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a boat travels 438 km in 8 hours with a constant speed, how far can it travel in 5 hours

Answers

Answer:

its the first one

Step-by-step explanation:

Answer as much as possible thanks :)

Answers

Step-by-step explanation:

Ans no.1

-2(y-4)

= -2y+4

=4-2y

Ans no.2

a=4 and b=6

6a+3b²

=6*4+3*6²

=24+108

=132

Ans no.3

65%of 180

= 65/100*180

=1170

Ans no.4

The absolute number is 7 because it is 7unit away from zero.

Ans no.5

The area of triangle= 1/2*base*height

=1/2*6*7

=21.

answer:

number 5.     21 in²

What is the face value of 2 in the number 286?

Answers

Answer:

200 or 2 I guess

Step-by-step explanation:

Ion really get wym by “ what is the face”

200 i also don’t get what you mean

How do I graph

y=-1/2x-1

Answers

Answer:

Step-by-step explanation:

Find the x and y intercept, and determine the slope.

X-intercept:

[tex]0=-\frac{1}{2}x-1\\1=-\frac{1}{2}x\\x=-2[/tex]

It crosses the x-axis at x = -2

Y-intercept:

[tex]y=-\frac{1}{2}(0)-1\\y=-1[/tex]

It crosses the y-axis at y = -1

Slope:

y = mx + b

m = slope = -1/2

The graph of the linear equation y = -(1/2)x - 1 is plotted.

Given data:

To graph the equation y = -1/2x - 1, use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

So, the slope is -1/2, and the y-intercept is -1.

To plot the graph, follow these steps:

Plot the y-intercept:

Start by plotting the point (0, -1), which represents the y-intercept.

Use the slope to find another point: Since the slope is -1/2, use the rise and run method. From the y-intercept point (0, -1), move down 1 unit (negative 1) and then move to the right 2 units. This gives another point on the line, which is (2, -2).

Hence, the resulting graph should be a straight line sloping downwards from left to right and is plotted below.

To learn more about equation of line, refer:

https://brainly.com/question/14200719

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£2,300 is invested for 4 years at 5% per year simple interest work out the total interest​

Answers

Answer:

£460

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 2300 × 0.05 × 4 = 460

I = £ 460.00

The simple interest accumulated

on a principal of £ 2,300.00

at a rate of 5% per year

for 4 years is £ 460.00.

4 (3 a + 5) + b when a = 3, b = - 12

Answers

Answer:

Step-by-step explanation:45+20+-12

65+-12

=53

Ok so let’s go stop by stop as we can see, a=3 and b=-12 right?
We won’t make it confusing so, we take the 4 and multiply 3 and 5, then it will be 12a+20+b, that’s 1st step!
So then the a and b will change to the following numbers on the equation, and everytime when a number has a letter beside it you always multiply like this: 12x3= 36, now it’s becomes 36+20+b, but we are not done yet, we still have the letter b, and it’s = to -12: 36+20+-12 : then the last step is just add them, 36+20=56, then take 56-12= 44, and for you’re information, if you’re confused a positive is the same thing as a normal number for example 10+ is the same exact thing as 10. I hope I helped you! Enjoy!

9. Rob usa el cálculo mental para resolver 90 – 30.
Dice que 9 decenas menos 3 decenas son
6 decenas, o 60. ¿Esto es verdadero o falso?
Encierra tu respuesta en un círculo.

Verdadero

o

Falso

Answers

Versadero. Espanōl eeee

I need this please help me

Answers

A.) 5/3
B.) 6
C.) undefined
D.) zero slope

20 pounds of beans are distributed equally into 16 bags to give out at the food bank how many pounds of beans are in each bag​

Answers

The answer is 1.25 because 20%16 is 1.25 and each bag is equal therefore it is 1.25

Can y’all help me on question 30?!

Answers

Answer:

If they moved 10 yards that would be 30 feet.  

B would be your answer

Step-by-step explanation:

There are 3 feet in 1 yard.  Multiply the length value by 3.

3 x 10 = 30

( credits to codyprice )

The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if
it had a bill of $71.80?
479
312
O
454
645

Answers

The answer to the question is 312

Questions are in the picture need ASAP 14 points :)

Answers

Answer:

x = k + 7

x = k + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we are solving for x here are the answers;

x=k+7

x=k+3

If we are solving for k here are the answers;

k=x-7

k=x+3

What does NS or IMS mean in terms of substitution for algebra?​

Answers

Institute of Mathematical Sciences
Oh okie so I can see that you were in church

Pls answer this ASAP thank you!

Answers

The answer is C easy

Of the 40 students in a class , 2/5 are girls. Of the girls , 1/4 wear glasses. How many girls do not wear glasses

Answers

Answer:

12 girls

Step-by-step explanation:

2/5 x 40 = 16

1/4 x 16 = 4

16 - 4 = 12

Does anyone wanna help me?

Answers

Lorenzo found the total surface area

Answer:

The correct answer is Lorenzo

Find a description this equation represents. Of the numbers 1, 2, 3, 4, and 5, which are solutions to the equation? 3x-7=5

Answers

Answer:

x=4

Step-by-step explanation:

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