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
kow [346]
3 years ago
6

Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular

prism and will be 8019 cubic inches. The compartment will be 24 inches longer than it is wide and the height will be 18 inches greater than the width. Find the dimensions of the computer compartment.
Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

You might be interested in
Find the solution set (x+1)(x+1)=0
lara31 [8.8K]
X= -1 beacuse negative one plus one is 0 and that will equal zero for both sides
5 0
2 years ago
Read 2 more answers
A cereal comes in three different package size what is the ratio of the cost of an 8 ounce box to a 16 ounce box of cereal
34kurt

Answer:

5-3 or 3-5

Step-by-step explanation:

8 0
3 years ago
1.<br> 15% of what number is 45?
Rom4ik [11]

Answer:

15% of 300 is 45

6 0
2 years ago
Read 2 more answers
Write the slope-intercept form of 3x-2y=-16
Arada [10]
First bring 3x to the other side, which will give you -2y= -16-3y. Then divide everything by -2, which will give you y=8+3/2x
8 0
3 years ago
Read 2 more answers
What is the surface area of the figure 8" 8" 12"
fgiga [73]
First, find the surface area of the bigger sides (there are 4 of them so what you get for one you will multiply by 4)

12 x 8 = 96

96 x 4 = 384

Then find the surface area of the smaller sides ( there are two small sides so multiply your answer by two)

8 x 8 = 64

64 x 2 =128

Then add both together 

128 +384 =  512

Hope this helps :)

3 0
2 years ago
Other questions:
  • Jeremy goes to the store where he buys 18 bananas. After two days, he notices that there are only 10 bananas that are left. Whic
    15·1 answer
  • 3. Use compass and straightedge to bisect T. Describe your process carefully and clearly.
    7·1 answer
  • Can someoneon help me please I dont understand<br>this.
    6·1 answer
  • Find the value of the permutation. <br> 8P1 ?
    15·2 answers
  • A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning an even number is 49 . What is the probabil
    13·1 answer
  • Marcus can read 126 pages in one hour. How many pages can he read in 15 minutes?
    13·2 answers
  • Can someone help
    13·1 answer
  • Please help on this IXL assignment it is DUE TODAY PLEASE!!!!
    15·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPP
    15·1 answer
  • Find an angle measure of angle A and B <br> A (5y-3) <br> C (3y+27)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!