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
siniylev [52]
3 years ago
8

A machine produces open boxes using square sheets of metal. The machine cuts​ equal-sized squares measuring 2 inches on a side f

rom the corners and then shapes the metal into an open box by turning up the sides. If each box must have a volume of 162 cubic​ inches, find the length and width of the open box.
Mathematics
2 answers:
docker41 [41]3 years ago
8 0

Answer:

width  9''    length 9''

Step-by-step explanation:

2 " is cut off from both sides

so the base of the box will be a square  

area * height = volume of box  

side = x

height =2  

2x^2=162  

x^2=81

x=9 inches  the side of the box

Volume =162

V=area*height      V= 81*2= 162

Alex73 [517]3 years ago
7 0

Answer:

Length is 9 in and width is 9 in.

Step-by-step explanation:

Suppose the side length of squared shaped sheet of metal is x inches,

∵  After cutting 4 equal squares having side length 2 inches from each corner,

The dimension of the resultant box (x-4) inches ×(x-4)  inches × 2 inches,

i.e. length = width = x - 4 inches,

Height = 2 inches,

Tus, the volume of the box,

V=(x-4)(x-4)(2)  ( in cubic inches )

According to the question,

(x-4)(x-4)(2) = 162

(x-4)^2 = 81

x-4=\pm 9

x=13 \text{ or }x = -5

∵ Side can not be negative,

Hence, the length and width of the box = 13 - 4 = 9 inches,

You might be interested in
Given p (a) = 0.45, p (b) = 0.30, p (a ∩<br> b.= 0.05. find p (a|b).
Mice21 [21]
Use the conditional probability formula, P(a|b) = P(a and b)/P(b)
7 0
3 years ago
Solve the inequality.<br> 4x + 3 &lt; 7 or 3x – 8 &gt; 7<br> -<br> x &lt; [?] or x &gt; [
ss7ja [257]

Answer:

4x + 3 < 7 \\ 4x + 3 - 3 < 7 - 3 \\ 4x < 4 \ \\ 4x \div 4 < 4 \div 4 \\ x < 1

3x - 8 > 7 \\ 3x - 8 + 8 > 7 + 8 \\ 3x > 15 \\ 3x \div 3 > 15 \div 3 \\ x > 5

6 0
3 years ago
Which of the following is equivalent to the radical expression below? 5^8*13
Bezzdna [24]

Answer:

(d) 5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}

Step-by-step explanation:

Given

5^{8.13}

Required

Select an equivalent expression

5^{8.13}

Simplify the power

5^{8.13} = 5^{8 + 0.1 + 0.03}

Apply law of indices:

5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}

Express decimal as fractions

5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}

5 0
3 years ago
An isosceles triangle with base 12mm and perimeter 28mm
olga55 [171]

Answer:

Side lengths of 12,8,8

Step-by-step explanation:

In an isosceles triangle the base is different from the other 2 sides which are the same so

28=12+2x (x being the side of the repeat sides)

14=6+x (divide both sides by 2)

8=x (subtract 6 from both sides) so

Side lengths of 12,8,8

5 0
3 years ago
10 - 5 2/3 = ? not in decimal form only fraction .
Dmitrij [34]

it would equal the same mixed number. 5 2/3

3 0
3 years ago
Read 2 more answers
Other questions:
  • Right angled triangle calc: find c, a=38, b=22.99999
    14·1 answer
  • cindy says she found a shortcut for doing multipication problems .when she multiplies 3 times 24 ,she says, 3 times 4 is 12 ones
    6·2 answers
  • What is 19.2 x 10^8 minutes in hours
    14·1 answer
  • (x,y)➡(x-8,y+4)<br><br><br>what is the image of <br><br>A(2,6)<br>B(-1,5)
    9·1 answer
  • Without the aid of the Wronskian, determine whether the given set of functions is linearly independent or linearly dependent on
    9·1 answer
  • HELP FAST Which solution shown bellow contains an error
    7·1 answer
  • Please help I forgot how to do it :P
    10·1 answer
  • levi works 8 hours each workday . He works every day for 10 days. If he made 620 during those 10 days ,how much does levi make p
    8·1 answer
  • If<br> tan (0) = -√3<br> then one possible value of<br> 0<br> in degrees is:
    11·1 answer
  • so i dont like brainly becuase they invinted this new ad thing once its runs out u cant use it for the whole day i thinks its no
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!