1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olenka [21]
3 years ago
5

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

+ 48y2 cubic units. Which could be the base area and height of the prism?
a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units
Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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

D. a base area of 16y² square units and height of y² + y + 3 units

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

Step-by-step explanation:

You might be interested in
HELP PLEASE! WILL MARK U BRAIN-LIST
Semmy [17]

Answer:

D. 10.20 cm

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
An eagle is flying around and its velocity vvvv as a function of time tttt is given in the graph below where rightwards is the p
mojhsa [17]

9514 1404 393

Answer:

  8 units

Step-by-step explanation:

Displacement is the area under the velocity curve. The area of interest is in the shape of a trapezoid, so we can use the formula ...

  A = (1/2)(b1 +b2)h

to find the area.

Here, b1=3, b2=1, h=4, so the area is ...

  A = (1/2)(3 +1)(4) = 8

The displacement is 8 units in the time from t=1 to t=4.

7 0
3 years ago
Plz help me due today help me
vekshin1

Answer:

7.7 %

Step-by-step explanation:

352-325

=27

27/352 x 100/1

7.670

=7.7%

6 0
2 years ago
Read 2 more answers
Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly?
algol [13]

Answer:

76%

Step-by-step explanation:

do the amount of correct answers divided by the total of questions asked.

5 0
2 years ago
What advice would you give to a person having problems in geometry overall.( I understood algebra but gemotery is so much more d
Ket [755]
I am currently taking Geometry right now, so I understand where you are coming from. I think it's just a matter of approaching it differently. My teacher always says she is trying to get us to think, not memorize. If you think a tutor would help you, then go for it! Just make sure you are learning the material not just for the grade, but so that you actually understand it. That's the most important part. Good luck!
8 0
2 years ago
Other questions:
  • In one year, 144 of the people enrolled in a college went on a winning outreach during the college year. It was 4/5 of the peopl
    7·1 answer
  • What is 0.057×10 equal
    9·1 answer
  • Sue Brown is a salesperson at a car dealership. She earned a gross pay of $8000 for the month of June. Her state tax rate is 3.5
    15·1 answer
  • How many cones of radius 1 m and height 1 m have total volume equal to the volume of a sphere with a radius 1m?
    7·1 answer
  • A white-tailed deer can sprint at speeds up to 30miles per hour . American bison can run at speeds up to 3,520feet per minute. W
    6·1 answer
  • Diego ran 55 meters in 10 seconds. How far did Diego run per second.. pls help due today
    8·2 answers
  • Three friends were running at a track as shown here.there postions on the track after 3 sec are shown who is running the slowest
    13·1 answer
  • The polygon with three angles is called?​
    11·2 answers
  • Find f(g(4)) if f(x)=2x+1 and g(x)=x^2
    9·2 answers
  • A company that makes hair-care products had 5,000 people try a new shampoo. Of the 5,000 people, 15 had a mild allergic
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!