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
allsm [11]
2 years ago
5

The formula for the volume of this rectangular prism is:

Mathematics
1 answer:
juin [17]2 years ago
8 0

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

−

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

You might be interested in
A bike shop has 11 red bikes, 3 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3 what? Choo
Marina86 [1]

For every orange bikes, there are 3 silver bikes.

7 0
3 years ago
Read 2 more answers
What is the quotient of the following division problem? x 1 startlongdivisionsymbol x squared 3 x 2 endlongdivisionsymbol. minus
Monica [59]

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

<h3>What is the quotient?</h3>

Quotient is the resultant number which is obtained by dividing a number with another. Let a number <em>a</em> is divided by number b. Then the quotient of these two number will be,

q=\dfrac{a}{b}

Here, (a, b) are the real numbers.

The given division expression is,

\dfrac{x^2+3x+2}{x+1}

Let the quotient of this division problem is f(x). Thus,

f(x)=\dfrac{x^2+3x+2}{x+1}

Factor the numerator expression as,

f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

brainly.com/question/673545

5 0
2 years ago
A grocery store has 5 pounds of gronola. one customer buys 2 3rds pounds of gronola and another buys 5 6ths pounds. after these
Kryger [21]

Answer:

3 1/2 Pounds

Step-by-step explanation:

2/3=4/6

4/6+5/6=9/6

30/6-9/6=21/6

8 0
2 years ago
Read 2 more answers
Which line plot matches the set of data 61,58,57,64,59,57,64,58,56,57
Alexandra [31]

Answer:

Do you have  picture of the line plots ?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which pair of angles are an example of alternate exterior angles?
9966 [12]

Answer:

c. is the answer becuase since it is exterior they are talking about the outside of the parellel lines.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A particular train is 14 ft tall. A model of it was built with the 3 in : 2ft. How tall is the model
    9·1 answer
  • On average, a furniture store sells four card tables in a week. Assuming a Poisson distribution for the weekly sales, the probab
    15·1 answer
  • 16x-15-9x=13 how do I solve for x
    10·1 answer
  • Are you guys all in k12? I’m an 8th grader
    12·2 answers
  • What’s the slope ? I don’t understand
    8·1 answer
  • Lisa had a starting balance in her checking account of $956.02. She
    9·1 answer
  • Roduct of 0.42 * 0.2
    11·1 answer
  • What is -3/5 as a decimal​
    9·2 answers
  • Someone please help me out
    5·1 answer
  • 25% of the students of the student in the class ride the bus to school. If 10 students walk, how many total students are in the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!