1. A rectangular pyramid is intersected by a plane to create the frustum shown. If the height of the original pyramid is 14 m, what is the volume of the frustum?
10 m
4 m
8 m
6 m
12m

1. A Rectangular Pyramid Is Intersected By A Plane To Create The Frustum Shown. If The Height Of The

Answers

Answer 1
The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3

The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4

If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)

If you are brave you could point this out to your teacher
Answer 2

The volume of the frustum that is shown in the diagram is: C. 256 m³.

What is the Volume of Frustum?

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.

Find the volume of the original (bigger) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)

Volume of rectangular pyramid = 336 m³

Find the volume of the smaller (the top that was removed) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)

Volume of rectangular pyramid = 80 m³

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.

Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.

Learn more about volume of frustum on:

https://brainly.com/question/1641223


Related Questions

what is the greatest common factor of the number and denominator of the rational expression below?

Answers

Answer:

x + 2

Step-by-step explanation:

[tex]\frac{5x+10}{x^2 -x-6}[/tex] = [tex]\frac{5(x+2)}{(x-3)(x+2)}[/tex]

GCF ( 5x + 10, x² - x - 6) = x + 2

Step-by-step explanation:

5(x+2)/(x+2)(x-3)= 5/(x-3)

GCF: x+2

What is the surface area of the rectangular pyramid below 11, 11, 11

Answers

The surface area of a rectangle is 33

Triangle ABC with vertices A(-4, 2), B(4,7), and
C(5, 1) in the x-axis.
A’
B’
C’
D’

Answers

9514 1404 393

Answer:

  A'(-4, -2), B'(4, -7), C'(5, -1)

Step-by-step explanation:

Reflection in the x-axis changes the sign of each y-coordinate.

  (x, y) ⇒ (x, -y)

  A(-4, 2) ⇒ A'(-4, -2)

  B(4, 7) ⇒ B'(4, -7)

  C(5, 1) ⇒ C'(5, -1)


Write the equation of the line in slope-intercept form with a slope of 5/6 and passes through the point (0, -6).

Answers

Answer:

y=(5/6)x-6

Step-by-step explanation:

The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEB BY STEP EXPLANATION!!
You can compare two boxplots by comparing values in their ______________________.
A. means
B. orders
C. five-number summaries
D. sets

Answers

Answer:

C. five-number summaries

Step-by-step explanation:

The point of a boxplot is to represent the distribution of data in a set. It does this by giving a five-number summary. This allows people to easily understand data sets, no matter their size. To compare two boxplots you should compare the values of the five-number summary because this is the complete set of information given in a boxplot.

A shipping container is in the shape of a right rectangular prism with a length of 2.5 feet, a width of 13 feet, and a height of 11 feet. The container is completely filled with contents that weigh, on average, 0.55 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

Volume = 2.5 x 13 x 11

Volume = 357.5

357.5 x 0.55 = 196.625, which can be rounded up to 197.

So, the correct answer is 197 pounds.

Let me know if this helps!

Please anyoneeeeeeee.....i am almost done just please help me

Answers

Answer:

B. XV and XY

Step-by-step explanation:

you can eliminate the top two options because those aren't rays. XV and XY are the only ones that end in X

Please help, urgent... Which transformation can not be used to prove that triangle ABC is congruent to triangle DEF?

Answers

Answer:

Dilation

Step-by-step explanation:

Dilation can only be used to prove that certain figures are similar

write in exponent from 7x7x7x7x7​

Answers

Answer: 7⁵

Step-by-step explanation:

7×7×7×7×7

Here 7 is mutiplied by 7 , 5 times

Therefore it will be 7 to the power 5 = 7⁵

please click thanks and mark brainliest if you like :)

Phân tích
x³-6x²+11x-6

Answers

Answer:

(x-1)(x-2)(x-3)

Step-by-step explanation:

hy vọng nó giúp

After 24 pencil had sharpened, the pencil sharpener receptacle is full. If receptacle is emptied in average of twice a day, how many times does someone in the class of 20 sharpens a pencil in five day ?

Answers

Answer:

12 Pencils Sharpened

Step-by-step explanation:

Since the sharpener receptacle is emptied out 2 times every day.

Do 24*2 to get 48 pencils sharpened each day.

Now do 48/20 to get how many pencils a single person sharpens each day. Resulting in 2.4 pencils each day for 1 person.

Multiple 2.4 by 5 (Amount of days) to get 12 pencils in 5 days.

What is the quotient of (2x3 – 29x + 13) ÷ (x + 4)?

Answers

Answer:

(19-29x) over (x-4)

Step-by-step explanation:

What is 3.7 as a mixed number

Answers

Answer:

3 7/10

Step-by-step explanation:

37/10 = 3 7/10

Which rule describes the translation?
O (x, y) = (x - 8, y-3)
* (x, y) = (x-3, y + 8)
0 (x, y) - (x + 8. y-3)
(x, y) - (x + 3, y + 8)
O (

Answers

The last one is correct

Apply the dristrbutie property to factor out the greatest common factor of 22c+33d

Answers

Answer:

11 (2c + 3d)

Step-by-step explanation:

Find the GCF (Greatest Common Factor)

Answer: 11

And then use 11 to factor out 22c + 33d

Answer:

11(2c+3d)

Step-by-step explanation:

22c + 33d

Rewriting

2*11*c + 3*11*d

Factor out 11

11(2c+3d)

Find the interest rate if $8200 has
a final value of $11406 in 4 years.
Give your answer to 1 d.p.

Answers

r=I × 100÷pxt

8200×100÷ 11406×4

820000÷. 45624

17.97

make me brainliest .

how do you solve this?

Answers

Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.

All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.

One-third of a number is 8 less than the number itself

Answers

Answer:

let the number be x

[tex] \frac{1}{3} x = x - 8 \\ x = 3(x - 8) \\ x = 3x - 24 \\ 3x - x = 24 \\ 2x = 24 \\ x = 12[/tex]

Answer:

x=12

Step-by-step explanation:

1/3 of 12 is 4 which is 8 less then 12 :))))))

Hope this helps <3

May somebody help do this please??

Answers

Answer:

a. 1 yard:3 feet

b. 3 feet:1 yard

c. Sean ran exactly a mile

Step-by-step explanation:

For a and b there are 3 feet in a yard

For c a mile is exactly 5280 feet

Answer:

A: 3 : 1

B: 1 : 3

C: less

Step-by-step explanation:

A: There are 3 feet in a yard, so feet: yard would be 3:1

For example, 21 feet equals 7 yards, 21:7 is equal to 3:1

B: For every yard, there are 3 feet, so th ratio would be 1:3

For example, 4 yards equals 12 feet, 4:12 is equal to 1:3

C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile

I need help ASAP!!Please be sure that you know the answer

Answers

Answer:area is 60, height is 4, and perimeter is 34

Step-by-step explanation:

 Estimate the correlation coefficient that would best describe the data below.

Answers

Answer:

First option

... -0.9 ...

Make y the subject 3xy+6=v

Answers

Answer:

y = [tex]\frac{v-6}{3x}[/tex]

Step-by-step explanation:

[tex]3xy+6=v\\3xy=v-6\\y=\frac{v-6}{3x}[/tex]

The average of A and B is 6. The average of X, Y, and Z is 16. What is the average of A, B, X, Y, and Z?

Answers

Answer:

12

Step-by-step explanation:

Average of A and B is 6

(A+B) /2 = 6

Multiply each side by 2

A+B = 12

average of X, Y, and Z is 16

(X+Y+Z)/3 = 16

Multiply each side by 3

(X+Y+Z) = 48

To find the average of all of them

(A+B+X+Y+Z)/5

replace A+B with 12 and X+Y+Z with 48

(12+48)/5

60/5 = 12

if p(x) = x²+4x-3,then evaluate p(2)-p(-1)+p(1÷2)

Answers

Answer:

2

Step-by-step explanation:

uhh i just need to know if i did this right or not

Answers

Yea you did. If you want further explanation let me know.

Answer:

I'm not sure if you still need help but you have it right

Anyone who can help me with this?

Answers

Answer:

C

Step-by-step explanation:

We know that the first integer will be "l" so the second will be l + 1, third will be l + 2, fourth will be l + 3, and the fifth will be l + 4. The question says "the greatest is g" so that means that the fifth integer is the greatest meaning that is the value of g. Now that we know the value of g, we can substitute it into the equation they gave us and simplify.

l+(l+4)/2

2l+4/2

l + 2

Best of Luck!

Answer:

C

Step-by-step explanation:

say your 5 consecutive numbers are 6-10

if 6 is l and 10 is g then

6+10 over 2 equals 8

this proves that l+2 is correct since 6+2=8

please help need now will give brainlest if work is shown

r÷(-8)=5

Answers

Answer:

r= -35

Step-by-step explanation:

First, move the -8 over to the other side by multiplying by -8

r=5×(-8)

r= -35

Is 8.888... a rational number?

Answers

Answer: Yes it's a rational number

=================================================

Explanation:

Since the decimal repeats itself infinitely (the 8s go on forever), this is one sign that we have a rational number.

Rational numbers always have some kind of infinitely repeating pattern when we convert them to decimal form.

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

Extra info (optional section)

If you want to determine what this number is equal to, then let's say that

x = 8.8888...

Multiplying both sides by 10 gets us

10x = 88.888....

Now we'll subtract the two equations

The 10x-x becomes 9x while the 88.8888...-8.8888... turns into 80

We're left with 9x = 80 which solves to x = 80/9

Therefore, 80/9 = 8.8888.... showing that we have a rational number

Any rational number is basically a fraction of two whole numbers.

6 + 9 - 5 x 10 ÷ 5 + 1/2 of (90 - 25 + 5) =

Answers

Answer:

40

Step-by-step explanation:

B I D M A S

(90 - 25 + 5) = 70

1/2 x 70 = 35

10 ÷ 5 = 2

5 x 2 =10

6 + 9  = 15

15 - 10 = 2

.... cba

Graph y=2x+4………………………………

Answers

Answer:

Step-by-step explanation:

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