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

Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?

A) A tile is drawn and replaced, and then a second tile is drawn.
B) A tile is drawn and removed, and then a second tile is drawn.
C) A red or blue or green tile is drawn.
D) Two tiles are drawn at the same time.

Answers

Answer:

45

Step-by-step explanation:

-2x -x + 8 please answer​

Answers

-3x+8
Add (-2x) + (-x) and gives you (-3x)

Answer:

=−3x+8

Step-by step explanation:


Penny is training for a race. First she ran 1/10 of a mile
4 times. Next she ran 1/5 of a mile 3 times. Then she ran 3/10 of a mile two times. How far did Penny run
during her training?
Show your work.

Answers

I think it’s 8/5 miles

The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calculate the length of the missing side. Show your work.

Answers

Answer:

Ratio: 3:2

LN = 18

Step-by-step explanation:

"similar" means that all the angles are the same and the sides were all increased by the same proportion.

Thus, we know that MN/YZ = LM/XY = NL/ZX

First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.

MN/YZ = 15/10 = 3/2

(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)

To find the missing side, we simply multiply XZ by 3/2.

12 * 3/2 = 18, so LN = 18.

What is the slope of the line that passes through (5,-1) and (8,2)

Answers

Answer:

m=1 (slope)

Step-by-step explanation:

m= change in y / change in x

m= (y2 - y1) / (x2 - x1)

m= (2-(-1))/ (8-(5))

simplify

m= 3/3 = 1

Which of the following word problems can be solved using the equation 4(x + 8) = 40?
O
A square has a side length of Xinches. Each side of the square will be increased by 8 inches to create a larger square. If the larger square has a perimeter of
40 inches, what is the side length, in inches, of the original square?
Four friends share a box of cookies. After each friend receives x cookies, there are still 8 cookies left in the box. If there were initially 40 cookies in the box, how
many cookies did each friend receive?
A student has four bags of marbles. Each bag originally has x marbles. After taking out 8 marbles from each bag, there is a total of 40 marbles in the bags.
How many marbles were originally in each bag?
Oscar has 8 stacks of trading cards. Each stack originally has x trading cards. He adds 4 cards to each stack giving him a total of 40 trading cards. How many
trading cards did Oscar originally have?

Answers

Answer:

4(x+8)=40

4x+ 32= 40

4x=40-32

4x=8

x=8/4

x=2/1

Solve the system of equations using substitution. y = -7x 2x – y = -9

Answers

Answer:

x = -1

y = 7

Step-by-step explanation:

We have a system of equations and are asked to solve using substitution.

y = -7x

2x - y = -9

Since we have an equation for y by itself, we can plug the first equation into the second.

2x - (-7x) = -9

Distribute :

(-(-7x))

2x + 7x = -9

Add like terms :

9x = -9

Divide 9 by both sides to get x :

x = -1

Now that we know x, we can plug it into the first equation to find y :

y = -7(-1)

y = 7

Wor
Stug
Nor
Par
7) The table shows the prices for games in Bella's soccer league.
Her parents and grandmother attended a soccer game. How
much did they spend if they all went together in one car?
(Example 3)
a. Write an expression that represents the cost of one
carful of nonstudent soccer fans. Use x as the number
of people who rode in the car and attended the game.
is an expression that represents the cost
of one carful of nonstudent soccer fans.
b. Since there are three attendees, evaluate the expression
12x + 5 for x = 3.
12) +5=__ +5 =
The family spent __ to attend the game.

Answers

The earliest known life-forms are putative fossilized microorganisms, found in hydrothermal vent precipitates, that may have lived as early as 4.28 Gya (billion years ago), relatively soon after the oceans formed 4.41 Gya, and not long after the formation of the Earth

You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy?

Answers

I would say about 5-6

How long will it take for $3000 to grow to $11,700 at an interest rate of 6.3% if the
interest is compounded continuously? Round the number of years to the nearest
hundredth.
A) 0.83
B) 2160.28
C) 21.60
D) 2.16

Answers

Answer:

Step-by-step explanation:

Using A=P(1+r/n)^nt

Where,

P = principal amount (the initial amount you borrow or deposit), in this case $3000

r = annual rate of interest (as a decimal), in this case 0.06

t = number of years the amount is deposited or borrowed for, in this case we don't know it

A = amount of money accumulated after n years, including interest, in this case $21000

n = number of times the interest is compounded per year, in this case 12

     This gives us 21,000=3,000(1+0.06/12)^12t

    After simplification, 7=(1.005)^12t

By taking the logarithm of both sides,

                            Log7=Log1.005^12t

                               12t = Log 7/Log 1.005

                               12t =390.1545

          This gives us 32.5months

what GCF of 22 and 30

Answers

It would be 52 because 30+22= 52

Answer:

2

Step-by-step explanation:

HELP PLSSSSSSS PLSSS I BEGH PLSSSSSSS

Answers

Step-by-step explanation:

Unit rate means divide so divide the oz by the cost. Which one is the better cost

A doctor told a patient to drink 1.6 liters of water every day. About how many liters should the patient drink in 14 days?

Answers

Answer:

22.4

Step-by-step explanation:

hope it helps

Answer:

The correct answer is 22

Step-by-step explanation:

22.4 to the nearest whole number would be 22.

What is the area of the triangle?
10
8
12.8

Answers

To find an area of a triangle you do 1/2 x base x height.

helo i have until tomorrow to finish it​

Answers

Answer:

C

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

All you gotta do is make it so the diagram displays x being 13

solve for x
2x+9≤27

(10 points worth)

Answers

Answer:

x = 9

Step-by-step explanation:

First, subtract 9 from both sides, and you are left with 2x < 18. Then, divide 18 by 2 to get 9. I hope this helps :)

The value of x is 9.

To find x

2x+9≤27

Subtract 9 from both sides we get,

2x ≤18

Divide 2 from both sides,

x≤9.

Hence, the value of x is 9.

Learn more about find x here https://brainly.com/question/11979991

#SPJ2

The
home team had 4 three-pointers,
10 two-pointers, and 6 free throws. The
visiting team scored 5 three-pointers,
8 two-pointers, and 5 free throws. Which
team scored more points?

Answers

Answer:

home team

.............................................................................................

If home team had 4 three-pointers, 10 two-pointers, and 6 free throws. The visiting team scored 5 three-pointers, 8 two-pointers, and 5 free throws. Then Home team scored more points.

What is Addition?

Addition is a process of combining two or more numbers.

For Home team,

4 three-pointers,

10 two-pointers, and

6 free throws

4+10+6

Four plus ten plus six

20

For visiting team

5 three-pointers,

8 two-pointers, and

5 free throws

5+8+5

Five plus eight plus five

18

As we observe 20 is greater than 18, so home team scored more than Visiting team.

Hence Home team scored more points.

To learn more on Addition click:

https://brainly.com/question/29053821

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Item 8 What is 31.5632 rounded to the nearest tenth?

Answers

31.6 is the correct answer

Answer:

31.6

Step-by-step explanation:

Find the ratio of the following
Smita works in office for 6 hours and Kajal works for 8 hours in her office. Find the
ratio of their working hours.​

Answers

Answer:

6:8  = 3:4  

Step-by-step explanation:

Smita = 6

Kajal = 8

Ratio = 6:8

Simplified ratio = 3:4

I hope Im right!!

Answer:

the answer is 3:4 you put 6:8 and you check if you can simplify in this case you can so u simplify them by 2 and the final answer is 3:4

9 divided by what equals 18?

Answers

Answer:

0.5

planation:

9/18  = 0.5

If you write the problem out x will represent the missing number

9 ÷ x = 18

You can write it as 9 ÷ 18

which is 0.5

The problem is asking what is 9 divided by to get 18

162 . . . . . . . . . . . . . . . . . .

There are 9 people in an office with 5 different phone lines. If all the lines begin to ring at once, how many groups of 5 people can answer these lines?

Answers

Answer:

1

Step-by-step explanation:

if it was 10 it would be 2, but it isnt. and it cant be a number with a decimal cause i would be surprised if a math problem has it where you cut people in half or portions

Help me with my math **50 pts** I mark brainliest**

Answers

Step-by-step explanation:

<1+<2=180

<2+<3=10

<1+<2=<2+<3=180

<2

<2


Which number rounds to 260 when rounded to the nearest 10?

Answers

Answer:5, 6, 7, 8, or 9.

Step-by-step explanation:

general sequence of 8,3-2,-7

Answers

Answer:

x - 5

Reason

8 - 5 = 3

3 - 5 = -2

-2 - 5 = -7

2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
x + y = 0
3x – 2y = 10
(3,2)
b. (2,-2)
(-2, 2)
d. (-2,-2)
a.
C.
timotor the nrice of a inh, in dollars, using the expression 60+

Answers

Answer:

x=2, y=-2

(2, -2)

Step-by-step explanation:

x + y = 0

3x - 2y = 10

3x - 2(0 - x) = 10                  ( 2(0 - x) = -2x )

3x - (-2x) = 10                      ( y = -x )

3x + 2x = 10

5x = 10

x = 2

Hope i helped, feel free to ask questions :D

Have a good day!

2(2.25x+8) tell me pls :(

Answers

Answer:

9x+32

----------

  2

Step-by-step explanation:

The answer pls I need help

Answers

Answer:

to figure out x, divide 5x by 5

to figure out 5x, times x by 5,

to figure out 5x-1 take away 1 from the answer in the middle column

2 5x=10 5x-1=9
10 50 49
12 60. 59
5. 24.
7. 35
20. 100

it’s in collums, i hope it’s right

Can u do these for me plz fast

Answers

Answer:

nothing is there?

Step-by-step explanation:

Answer:

please there is no question

Step-by-step explanation:

where are the questions

How old am I if, eighty reduced by 2 times my age is fifty-six

Answers

You are 12 years old

What are the multiples of 5 starting from 100?

Answers

Answer:

100;105;110;115;120;125;130;135;140;145;150;155;160....

Step-by-step explanation:

Answer:

100, 105, 110, 115, 120, 125, 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200

Step-by-step explanation:

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