13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
centimeters, what is the surface area of the cuboid?

Answers

Answer 1

Answer:

216 cm²

Step-by-step explanation:

Applying,

V = lwh..................... Equation 1

Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.

From the question,

Since the base of the cubiod is squared,

Therefore,

w = l = 4 cm, V = 400 cm³

Substitute these values into equation 1

400 = 4×4×h

h = 400/(4×4)

h = 25 cm

A = lw+lh+wh.................. Equation 1

Where A = surface area of the cuboid.

Given: l = 4 cm. w = 4 cm, h = 25 cm

Substitute these values into equation 1

A = (4×4)+(4×25)+(4×25)

A = 16+100+100

A = 216 cm²


Related Questions

John wrote the equation tim.0 to represent there in decrees er a substance had been tested for minutes Describes be temperature of the substance and the been heated A The temperature initially de trees Cels B. The temperature increased by dores every 0. Based on John's equation, how many minutes does the substances to be heated to reach a temperature of 100 decrees Celtus?​

Answers

Answer:

ur english is so bad i can barely discern what ur trying to say and the correct answer is 5

Step-by-step explanation:

Which answer represents the series in sigma notation? −7+(−2)+3+8+13 ∑j=15(5j−12) ∑j=15(−8j+1) ∑j=15−5(15)j−1 ∑j=155j−1

Answers

Answer:

∑j=15(5j−12)

Step-by-step explanation:

For j = 1 up to j = 5

j = 1

(5j - 12) = (5(1) - 12) = 5 - 12 = - 7

j = 2

(5j - 12) = (5(2) - 12) = 10 - 12 = - 2

j = 3

(5j - 12) = (5(3) - 12) = 15 - 12 = 3

j = 4

(5j - 12) = (5(4) - 12) = 20 - 12 = 8

j = 5

(5j - 12) = (5(5) - 12) = 25 - 12 = 13

(-7 + (-2) + 3 + 8 + 13)

Answer:

(5j-12)

Step-by-step explanation:

Other person was right, took the test using the answer they gave.

beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days​

Answers

Answer:

beau completed 2/5 of his science project on Friday

beau completed 1/3 of his science project on Friday

Now

he completed during these two days=1/3+2/5=11/15 part of his project

Margie, Eric, and Connor helped their band stuff envelopes for a fundraiser. Margie has stuffed 96 out of 144 envelopes. Eric has stuffed 62% of his envelopes. Connor has stuffed ¾ of his envelopes. If each student started with the same amount, who has the most envelopes left to stuff?

A. Margie
B. Eric
C. Connor

Answers

Its conner he stuffed the most helped 3/4 percent of the thing
The answer is a. Connor

A scatterplot includes data showing the relationship between the number of items on a standardized test and the
length of time, in minutes, it took for different students to complete it. Which graph displays the line of best fit for the
data?

Answers

Answer:

its D

Step-by-step explanation:

using substitution
x+3y=3
3y-2x=12

Answers

Step-by-step explanation:

Given :-

x + 3y = 3 3y - 2x = 12

And we need to solve the equation using Substituting method . So on taking the first equation ,

[tex]\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y [/tex]

Put this value in (ii) :-

[tex]\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6 [/tex]

Put this Value in (I) :-

[tex]\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21 [/tex]

Hence the Value of x is 21 and y is (-6) .

Answer:

x = -3

y = 2

Step-by-step explanation:

Ok this is a long one but bear with me lol, i promise i will make it easy to understand, performing one step at a time.

So we are given 2 equations right? We can take any of these one equation and isolate any one variable, either x or y, I will take the first equation and isolate x from it cuz it's the easiest way;

=> x + 3y = 3

=> x = -3y + 3 (Let's pretend this is not an equation for x but a "value")

Now that we have the x isolated from first equation, we can substitute x "value" in for the x in second equation. To solve for y;

=> 3y - 2 (-3y + 3) = 12

=> 3y + 6y - 6 = 12

=> 9y - 6 = 12

=> 9y = 12 + 6

=> 9y = 18

=> y = 18/9

=> y = 2

At this point we are almost done with the question! So since we got a real value for one of our variable (which in this case is y-value), we can substitute that in any of the given equation, We can also use the equation where in we isolated "x", so I'll use that cuz it's gonna require less steps, to find the real x-value:

=> The equation we found out up there is: x = -3y + 3

=> Now just simply substitute the y-value we figured in the equation above:

=> x = -3y + 3

=> x = -3(2) + 3

=> x = -6 + 3

=> x = -3

Ayee we did it lol so the final answer would be:

x = -3

y = 2

I really hope this made sense, and that it helps!

Pls help

What is the magnitude of the vector u = <4, 7>?

Answers

[tex]\sqrt{4^{2}+7^{2}}=\sqrt{16+49}=\boxed{\sqrt{65}}[/tex]

Find the missing dimension of the triangle.
Area = 14 ft2
height= 6 ft
base=???

Answers

Answer:

b=4.67ft

Step-by-step explanation:                                                                                    The steps are in the picture below.

4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8​

Answers

Answer:

b > -15

Step-by-step explanation:

4b - 12 - 55 < 9b + 8

Combine terms.

4b - 67 < 9b + 8

Subtract 9b from both sides.

-5b - 67 < 8

Add 67 to both sides.

-5b < 75

Divide both sides by -5. When dividing by a negative, flip the sign.

b > -15.

Find the value of x in the triangle shown below.
ac
5

Answers

the value of x is equal to 3

_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1

Answers

Answer:

immma send you the link friend me on here Step-by-step explanation:

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Ruby sets up a website where players can
buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
28 visitors purchased no costume.
126 visitors purchased exactly one costume.
7 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a fraction in simplest form.

Answers

Answer:39%

Step-by-step explanation:

Solve (3^p times 81 = 9) for p

Answers

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

Two angles x and y are complementary - which means their
angles add up to 90 degrees. Angle y is 20 degrees less
than angle x. Find the measure of each angle.

Answers

Answer:

X=55° Y=35°

Step-by-step explanation:

X+Y=90°

Y= x-20

(X-20)+X=90°

2X-20=90°

2X=110°

X=55°

55°+Y=90°

Y=35°

12° is the correct answer

What are the ordered pairs of the
solutions for this system of equations?
f(x)=x^2 – 2x + 3; f(x) = -2x + 19

(4, [?]); ([ ], [])

Answers

Answer:

(4, 11) is one ordered pair  and (-4, 27) is the other ordered pair

Step-by-step explanation:

(1)  f(x) = x^2 - 2x + 3             (2)    f(x) = -2x + 19

-2x + 19 = x^2 - 2x + 3

x^2 - 16 = 0

(x - 4)(x + 4) = 0

x = 4   or    x = -4                                  -2(4) + 19 = 11

                                                             -2(-4) + 19 = 27

So, when x = 4, y = 11                   and when x = -4, y = 27

(4, 11) is one ordered pair              and (-4, 27) is the other ordered pair

A soccer dome shaped like a hemisphere has a volume of 450,000 cubic meters. What is the area of its floor? Use 3.14 for π in your calculations and round your answer to the nearest square meters

Answers

Answer:

3282 m^2

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

r = (450,000 x (3/2) x(1/3.14)) ^1/3

r = 45.72

Area of a semicircle = 1/2 x n x r^2

1/2 x 45.72^2 x 3.14 = 3282 m^2

Use the exterior angle theorem to find the value of x in the triangle below.



A
x = 7

B
x = 5

C
x = 12

D
x = 15

Answers

Answer:

Option A

Step-by-step explanation:

By using the definition of an exterior angle of a triangle,

"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"

m∠STP = m∠SWT + m∠STW

Substitute the measures of the angles from the picture attached,

15x = (7x + 1) + (7x + 6)

15x = (7x + 7x) + (1 + 6)

15x = 14x + 7

15x - 14x = 7

x = 7

Therefore, Option A will be the correct option.

evauate the problem 5y=30

Answers

Answer:

y = 6

Step-by-step explanation:

5y = 30

5y ÷ 5 = 30 ÷ 5

y = 6

Y=6
5x6=30

Hope this helped

Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?

Answers

Slope intercept form:
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4

Solution: y = 4x - 4

asap please !
Suppose that an insurance company has broken down yearly automobile claims for drivers from age 16 through 21 as shown in the following table. How much should the company charge as its average premium in order to break even on costs for claims?

Answers

Answer:

?

Step-by-step explanation:

PLEASE HELP ME, ILL GIVE BRAINLIEST AND 50 POINTS

Answers

Answer:

h=8

Step-by-step explanation:

a²+b²=c²

a=A

b=12

c=13

therefore substitute

A²+(12)²=(13)²

A²=13²-12²

A²=25

A=5

h=3+A

h=3+5

h=8

Answer:

8 ft

Step-by-step explanation:

since it is a right angled triangle and you have 2 side lengths, we use the pythagoras theorem here.

a² + b² = c²

the c² is always your hypotenuse (longest side of the triangle, also opposite to the right angles)

*the b and a doesnt matter which order you put it in*

so; (sub in the numbers to the formula)

a² + 12² = 13²

(rearrange - like terms together)

a² = 13² - 12²

(calculate it)

a² = 25

(simplify it - get rid of the ² on the a)

a = √25

(solve)

a = 5

so, we know that a = 5 and we know that we have an additional 3

5 + 3 = 8

Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23,25,25,15

Answers

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

(5x)/6 + 11/4 = 17/3

Answers

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

According to this diagram, what is cos 16°? 25 90° 24 OA OB. 곪 24 7 OC. OD.​

Answers

Answer:

None of the listed answers are correct.

cos16º = 24/25

Step-by-step explanation:

cos∅ = adj/hyp

adj = 24

hyp = 25

cos 16º = 24/25


The perimeter of the triangular park shown on the right is 12x - 1. What is the missing length?

Answers

Answer:

6x-4

Step-by-step explanation:

c-the missing length

(2x+5)+(4x-2)+c = 12x-1

2x+5+4x-2+c=12x-1

6x+3+c=12x-1

6x+4+c=12x =>4+c=12x-6x =>4+c=6x => c=6x-4

What is the missing length? 6x-4

Piper is buying a bottle of bubbles for $5.99. If there are 3 gallons of bubbles in the bottle, what is the unit rate?

Answers

Answer:

5.99/3

Step-by-step explanation:

Teachers usually except this stuff because it is technically correct

What is the value of b on the number line below? A number line from 0 to 1 showing fourths. There is a dot labeled b that is halfway between one half and three fourths.

Answers

Answer:

B is 5/8

Step-by-step explanation:

Note: 4/8 = 1/2 and 6/8 = 3/4

PLZ HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

(0-8)

Step-by-step explanation:

the z represents a unknown number.=, and because it equals y it starts at 0. so (0-8)

Which statement is true about this data set?


{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}




80 is an outlier because it is greater than the upper fence.

This data set has no outliers.

65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.

65 is an outlier because it is less than the lower fence.



PLS HELP I WILL GIVE Brainliest

Answers

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

 

 

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

What factors greatly affect the climate if you live near the Manila Bay? ​

Answers

Overexploitation of resources, illegal and destructive fishing, habitat destruction, pollution, siltation and sedimentation, uncontrolled development and the conflicting use of limited available resources cause pressures on the bay. Several laws are being implemented HOPE this helps !
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