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
Natali [406]
3 years ago
9

Match the base and height to the volume of the prism. B = 6 square units h = 12 units

Mathematics
2 answers:
zavuch27 [327]3 years ago
8 0

Answer:

V = 112 cubic units

Step-by-step explanation:

Volume is simply B * H, so 14 * 8 = 112.

brainliest please

Finger [1]3 years ago
7 0

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

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

You might be interested in
An isosceles triangle has an angle that measures 130°. Which other angles could be in that isosceles triangle? Choose all that a
muminat
25 degrees for the other two angles
6 0
3 years ago
What is r in this equation? <br>πr^2=42π
kupik [55]
R in this equation refers to the radius

{\pi r}^{2}  = 42\pi \\  {r}^{2}  =  \frac{42\pi}{\pi}  \\ r =  \sqrt{42 } \\ r = 6.480740698
4 0
3 years ago
What is the gcf of 15 and 10
Zielflug [23.3K]
The gcf of 15 and 10 is 5
7 0
3 years ago
Read 2 more answers
What would you round 2.706
butalik [34]
It is going to be 4563
6 0
3 years ago
Read 2 more answers
Which statement compares the two numbers correctly?
Alex_Xolod [135]
Six hundred seventy-two thousandths <0.8
7 0
2 years ago
Read 2 more answers
Other questions:
  • Hope goes through the steps of sorting a list. The resulting list is shown below. A 2 column table with 6 rows. Column 1 has ent
    6·1 answer
  • Find the midpoint M of the line segment joining the points P = (-6, 2) and Q = (2,-4)
    7·1 answer
  • Sammy plans on a discounted loan with an advertised interest rate of 9%. Sammy will pay $153 in interest on the $1700 loan. How
    7·1 answer
  • what is the answer to 2 1/2 times 4/7? I was wondering because I am horrible at maths and I would like some help. Thanks :)
    14·2 answers
  • each morning a gardener uses 24 3/4 gallons of water from a barrel. each afternoon, she adds 15 1/4 gallons of water to the barr
    12·1 answer
  • I will greatly appreciate if you can solve this question!
    15·1 answer
  • Which expression is equivalent to (xy)z?<br><br>A (x+y)+z<br>B 2z(xy)<br>C x(yz)<br>D x(y+z)​
    10·2 answers
  • 17/5 converted into a mixed number
    12·2 answers
  • Please help I can’t figure it out
    15·1 answer
  • Which expression is equivalent to 6^-4 ÷ 6^-2?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!