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
lana66690 [7]
2 years ago
6

The volume of a rectangular prism is (x3 – 3x2 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular pri

sm is the product of its base area and height, what is the height of the prism? x minus 3 StartFraction 7 x minus 9 Over x squared minus 2 EndFraction x minus 3 StartFraction 7 x minus 9 Over x cubed minus 3 x squared 5 x minus 3 EndFraction x minus 3 StartFraction 7 x 3 Over x squared minus 2 EndFraction x minus 3 StartFraction 7 x 3 Over x cubed minus 3 x squared 5 x minus 3 EndFraction.
Mathematics
1 answer:
34kurt2 years ago
5 0

To solve the problem we will put the values given to us in the formula of volume of a prism.

<h2>Prism</h2>

A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.

The height of the prism is \dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}.

<h2>Explanation</h2>

Given to us

  • volume of a rectangular prism = (x3 – 3x2 5x – 3),
  • area of its base = (x2 – 2)
  • the volume of a rectangular prism is the product of its base area and height,

As given  to us,

\rm{ Volume\ of\ prism = Area\ of\ base \times Height

\rm{ Height=\dfrac{Volume\ of\ prism}{Area\ of\ base}

Substituting the values we get,

\rm{ Height=\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}

Hence, the height of the prism is \dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}.

Learn more about Volume of Prism:

brainly.com/question/1578538

You might be interested in
What solid 3D object is produced by rotating the triangle about line m?
elena55 [62]

Answer: A cone with height 3 and radius 1

Step-by-step explanation:

Hi, searching I found the image for the question, attached down below.

By rotating the triangle about line m, a cone with height 3 and radius 1 is produced.

Solid 3d objects are produced by rotating a 2d figure around a straight line that lies in the same place.

in our case, if we rotate the triangle around the line, the vertices in touch with the line m remains stationary, while the  remaining vertex follows the path of a circle, creating a cone.

6 0
3 years ago
Read 2 more answers
Fill in the blanks to explain how Harry can check whether his solution is correct
Tresset [83]

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply \frac{1}{3} by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

5 0
1 year ago
Turn 0.68 into a fraction in simplest form
sattari [20]
Since .68 is 68/100, you can simplify to 17/25. 
7 0
2 years ago
Read 2 more answers
What’s the answer to this question
Makovka662 [10]
25......................
5 0
2 years ago
Read 2 more answers
Find a26 of the sequence-2,-8,-14,-20
ddd [48]

The numbers decrease by 6.

-1, -8, -14, -20, -26, -32, -38, -44, -50, -56, -62, -68, -74, -80, -86, -92, -98, -104, -110, -116, -122, -128, -134, -140, -146

4 0
3 years ago
Other questions:
  • Is ABC= A DEF? If so, name the congruence postulate that applies. ​
    8·1 answer
  • How many dimes is there in 290 pennies
    11·2 answers
  • A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured around it. If the concrete cost $4.25
    12·1 answer
  • If three out of four side lengths are all the same would that be a parallelogram?
    10·1 answer
  • Alex is ordering salads and drinks for his friends. Salads cost $8 each, drinks cost $4 each, and there is a $6 delivery charge
    13·1 answer
  • How many different measurements are found in this diagram ¿
    14·2 answers
  • Point B has coordinates (3,1). the x-coordinate of point A is -1. The distance between point A and point B is 5 units. What are
    12·1 answer
  • Find the length of x in the truss shown below???
    10·1 answer
  • Given: &lt;1 congruent to &lt;2<br>prove: AB is congruent to CB​
    12·1 answer
  • Where is mean by g(x)​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!