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
Natasha_Volkova [10]
3 years ago
8

A box with rectangular sides has width twice the length of the base. The volume is 24 cubic inches and the total surface area of

all six sides is 52 square inches. Write down a (cubic) equation whose solution is the length of the box.
Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

Answer: the cubic equation is

L^3 - 52L +144 =0

Lenght= 4inches

Width = 2inches

Height = 3 inches

Step-by-step explanation:

Let the lenght= L

Let the width = W

Let the height = H

Volume of the box = 24 cubic inch

Total surface area of the box = 52 sq. Inches

W = L/2

W, = 0.5L

Volume = L * B * H

Insert W = 0.5L

L * 0.5L * H = 24

0.5L^2 * H = 24

H = 24/0.5L^2

= 48/L^2

Surface area equation

2(L*W) + 2(L+H) + 2(W+H)= 52

Divide through by 2

(L*W) + (L+H) + (W*H) = 26

Insert W= 0.5L

(L*0.5L) + (L*H) + (0.5L*H) = 26

0.5L^2 + LH + 0.5LH = 26

0.5L^2 + 1.5LH = 26

Insert H = 48/L^2

0.5L^2 + 1.5*48/L = 26

0.5L^2 + 72/L = 26

Multiply through by L to get rid of the denominator

0.5L^3 + 72 - 26L = 0

0.5L^3 - 26L + 72 = 0

Multiply through by 2, we have

L^3 - 52L +144 =0

Try L= 4

4*3 -52(4)+ 144 =0

0= 0

(L - 4) is a factor of cubic equation

Therefore Length (L) = 4 inch

Recall that W= L/2

W= 4/2

W= 2 inches

H= 48/L*2

= 48/4*2

= 48/16

= 3 inches

You might be interested in
A bottle contains 4 cups of juice. One serving of the juice À cup. How many servings are in the bottle?​
Brilliant_brown [7]
4 servings if one serving per cup
7 0
3 years ago
Read 2 more answers
PLS HELP ITS MATH AND I DONT UNDERSTAND <br> No links pls and ty &lt;3
tankabanditka [31]
<h3>Answer:</h3>

C=52.08π

<h3>Solution:</h3>
  • Circumference of a circle:
  • C=2πr
  • where
  • π=3.14...
  • r= radius
  • In this case, r is equivalent to 26.04 ft.
  • C=2π×26.04
  • Multiply:
  • C=52.08π (in terms of pi)

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
Read 2 more answers
Christian sets aside $60 per month for daily coffee. McDonalds sells coffee for $1, and The Bean Sprout sells a cup of coffee fo
VladimirAG [237]

Since Christian sets aside $60 per month for daily coffee, and McDonalds sells coffee for $ 1, and The Bean Sprout sells a cup of coffee for $3, to create an equation that represents the combinations of coffee options that allow Christian to stay in his budget and provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget, the following linear equation must be proposed:

 

M + BS = 60

2 combinations using the entire budget =

  • 15 McDonalds + 15 The Bean Sprout = 15 + 45 = 60
  • 30 McDonalds + 10 The Bean Sprout = 30 + 30 = 60

1 combination under budget =

  • 15 McDonalds + 10 The Bean Sprout = 15 + 30 = 45

1 combination over budget =

  • 30 McDonalds + 30 The Bean Sprout = 30 + 90 = 120

Learn more in brainly.com/question/14305871

4 0
2 years ago
Edgar Elementary
kirza4 [7]

Answer:3333

Step-by-step explanation:

4 0
2 years ago
F(x) = 2x2 – 4x – 3
Elanso [62]
Mica should have added 2 to 3 instead of 1
7 0
3 years ago
Read 2 more answers
Other questions:
  • Help................
    11·2 answers
  • at least $580 to buy a new Bose sound system. He has $210 in savings and plans to save $30 a week until he has enough money to b
    10·1 answer
  • a $3 500.00 principal earns 3 interest compounded semiannually after 20 yeara what is the balance in the account
    14·1 answer
  • Randy wants to use the Distributive Property to rewrite 56-21. Which expression could he use?
    15·2 answers
  • If f(x) = 2^x and g(x) = 10x + 1, for which of the following values of x will g(x) be greater than f(x)? Select all correct answ
    15·1 answer
  • Solve for x.<br> -1/5 (x - 4) = -2<br><br> Enter your answer in the box.<br><br> x = ________
    11·2 answers
  • Need help please and thank you
    15·1 answer
  • D 25
    8·1 answer
  • Michelle bought five packs of crayons for $16.25 What is the cost of a pack of crayons, in dollars, if all the packs cost the sa
    9·1 answer
  • 8. Solve for x.<br> 28°<br> X
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!