A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find the length, width and height of the cuboid and the area of the third face.

Answers

Answer 1

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.


Related Questions

Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED

Answers

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

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

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a
building. If the angle formed between the ladder and the ground is 65 degrees, how far is
the bottom of the ladder from the base of the building? (Round to two decimal places)

Answers

Step-by-step explanation:

the answer is in the above image

What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer in simplest form.

Answers

Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

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

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

Describe the general properties of rotations.

Answers

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

What is the answer. Do anything begging for help

Answers

Answer:what’s the question?

Step-by-step explanation:

Where’s the picture

Can someone help me out these problems !!!

Answers

Answer:

Zoom in more and I can help

Step-by-step explanation:

Use an algebraic approach to solve the problem.

Abby has 37 coins, consisting only of dimes and quarters, worth $5.65. How many dimes and how many quarters does she have?

Answers

Answer:

13 quarters and 24 dimes

Step-by-step explanation:

13*.25=3.25

24*.1=2.4

3.25+2.4=5.65

For the acute angles in a right triangle,
sin(5x)° = cos(3x + 10)°. What is the number of degrees in the measure of the smaller angle?

Answers

Answer:

answer for this solution is 10 degrees

Step-by-step explanation:

sin x + cos x = 90

5x + 3x +10 = 90

x = 10

Find the area of the shaded figure. The area is square units (AREA OF COMPOSITE FIGURES)​

Answers

Answer:

28 square units

Step-by-step explanation:

count the middle and edgr squares then u can just put the parts of the square together

ali's age is half of his fathers age but 15 years ago his age was just 1/3 of his fathers age find his present age

Answers

Answer:

30 for the son 60 for the dad

Step-by-step explanation:

Take away 15 from the son and dad you get 45 and 15 which is 1/3 before t that was 15 years ago which makes it 30 for the son and 60 for the dad


10) The second angle in a triangle is 3° less than twice the first angle. The third angle measure 8° more than
twice the first angle Find each angle.

Answers

Answer:

35, 67 and 78

Step-by-step explanation:

the angles are:

n, 2n-3 and 2n+8

there are 180 degrees in a triangle, so adding those terms together will give us 180

5n + 5 = 180

180 - 5 = 175

5n = 175

175 / 5 = 35

n = 35

now we have n we can put it in to the formula we have for the angles at the start:

n = 35

2n - 3 = 67

2n + 8 = 78

so the angles are

35, 67 and 78

What is the sum of (2n – 5m) and (n + m)?

Answers

Answer:

3n - 4m

Step-by-step explanation:

(2n-5m)+(n+m)

so we get this equation and from here, we expand the equation by removing the brackets, you should get:

2n-5m+n+m and just solve from here.

to make it easier, put the like terms together:

2n+n+m-5m

= 3n-4m

Answer:

3n - 4m

Step-by-step explanation:

(2n – 5m) and (n + m) in this case have the same value if the parentheses are removed.  We end up with:

2n – 5m

 n +   m

--------------        Grouping like terms vertically, as shown here, may make this

                         addition a bit easier.

2n – 5m

 n +   m

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

 3n - 4m (final answer)

                                           

Lines DE and AB intersect at point C.
What is the value of x?

Answers

Answer:

25 because I need to use mayh

A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?

Answers

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

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

Method II

1 - .25 = .75

500 * .75 = 375

the floor of a warehouse is 60m long 40m wide. find the cost of polishing the floor plzzz helpp​

Answers

Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

If the sum of three consecutive integers is 36 what is the smallest integer?

Answers

Answer:

The smallest integer is 11.

Step-by-step explanation:

Let the first integer be x.

Then the second will be (x + 1) and the third will be (x + 2).

The sum is 36. Hence:

[tex]x+(x+1)+(x+2)=36[/tex]

Solve for x:

[tex]3x+3=36[/tex]

So:

[tex]3x=33[/tex]

Hence:

[tex]x=11[/tex]

Our sequence is 11, 12, 13.

So, the smallest integer is 11.

Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3

Answers

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

The eighth term in the series 2, 6, 18, 54, ___ is
4122
4374
5643
7434

Answers

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

Sarah's family traveled 5 8 of the distance to her grandmother's house on Saturday. They traveled 1 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

Answers

Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let x be the total distance to grandmother's house .

As per given,

Distance traveled on Saturday = [tex]\dfrac58x[/tex]

Remaining distance = [tex]x-\dfrac58 x[/tex]

[tex]=\dfrac38x[/tex]

Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance

= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]

= [tex]\dfrac18 x[/tex]

The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Which statement is true? asap thx reeeeeeeeeeeeeeeeeeeeee

A. 24 – 15 × 4 – 3 × 2 = 30

B. 24 – 15 × (4 – 3) × 2 = 30

C. (24 – 15) × 4 – 3 × 2 = 30

D. (24 – 15) × 4 – 3 × 2 = 66

Answers

Answer:

the correct answer should be C: (24-15) x 4-3 x 2=30

C. (24 - 15) x 4 - 3 x 2 = 30

Hope this helps! :)

The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?

Answers

Just plugin the numbers you have. For instance, r = radius. We know that the radius is 1/2 of the diameter. Our diameter is 12 so 12 / 2 = 6. With that said, add 6 to where the r is located in the formula and solve the formula.

Solve for V


To solve for V we have to do the following.



The formula above reads V(Volume of air) equals 4 divided by 3 times pi times 6 to the power of 3

Answer:

904.78

Step-by-step explanation:

Two of the three views of a solid are shown. A. What is the greatest number of unit cubes in the solid? Greatest number of unit cubes: cubes b. What is the least number of unit cubes in the solid? Least number of unit cubes: cubes Question 2

Answers

Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question

answer :

a) 8 unit cubes

b) 1 unit cube

Step-by-step explanation:

The number of views a solid figure can have are : Top view , Front view and side view  and The greatest number of unit cubes in a solid depends on the side length of the unit cube

a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8  while

b) The least number of unit cube = 1  

ASAP work pls answer

Answers

c because i did it and got it right

The agricultural practice of irrigation leaves behind which pollutant in the
soil?
O A. Salt
B. Acidic compounds
C. Nitrogen compounds
D. Pesticides

The answer is Salt !!

Answers

The answer is nitrogen compounds for this question


A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80

Answers

Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.

To Find :-The percentage discount on the shoes

Solution. :-

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Please helpppp for tan need help quick

Answers

Answer:

8/15

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x

A. The x^2

B. =

C. The - 4x

D. The 9

Answers

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

whats the value of x? -5(x + 7) = -14 + 2x

Answers

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram

Answers

Answer

80 m^2

Step-by-step explanation:

basically 10 x 8 plus the value

find the surface area of the prism

Answers

Answer:

SA=96

Step-by-step explanation:

formula for triangular prism=bh+l(s1+s2+s3)

3*4/2*2=12

4*7=28

3*7=21

5*7=35

12+28=40+21=61+35=96

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