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
just olya [345]
3 years ago
13

The height of the rectangular prism measures 64 cm. If the height is increased by 1.5​ cm, by how much will the surface area of

the box​ increase?

Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

Increase in surface area =  126 cm²

Step-by-step explanation:

Surface area of the rectangular prism has the dimensions as

Length = 42 cm

Width = 35 cm

Height = 64 cm

Total surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length of the box

b = Width of rectangular box

h = height

Total surface area = 2(42×35 + 35×64 + 64×42)

= 2(1470 + 2240 + 2688)

= 12796 cm²

If height is increased by by 1.5 cm, new height of the box = 64 + 1.5 = 65.5 cm

Surface area of the box = 2(42×35 + 35×65.5 + 65.5×42)

= 2(1470 + 2240 + 2751)

= 12922 cm²

Increase in surface area = 12922 - 12796

                                          = 126 cm²

You might be interested in
What is the value of x?<br><br> A. 4<br><br> B. 4√3<br><br> C. 8<br><br> D. 8√3
Paladinen [302]

The answer is B. I used the trigonometric sine formula

\sin(60)  =  \frac{x}{8 }

\sin(60)  \times 8 = x

x = 6.93

And

4 \sqrt{3}  = 6.93

8 0
3 years ago
Solve the inequality and write down the solution in interval notation x(x-3)(x+1)&lt;0
Ratling [72]
Since it's so nicely grouped, we can work with it! For the equation to equal 0, x=0, 3, or -1 (since x-3 and x+1 equal 0 when plugged in with 3 and -1 respectively). All we have to do is plug in numbers before, between, and after these numbers and apply it to the rest of them. Since -1 is the smallest number of the group, we can plug in a number below that (for this example, -5) and plug it in to get -8*-5*-4= something negative since it contains an odd number of negative numbers. Therefore, anything less than 1 is negative. For between -1 and 0, we get x=-0.5 equals -0.5*-3.5*0.5=something positive (since it has an even amount of negative numbers), proving that everything between -1 and 0 here is positive.  For something between 0 and 3, we can plug 1 in to get 1*-2*2= something negative. Do you see a pattern here? It's negative, then positive, etc.. Therefore, if the number is greater than 3 it is positive.  Reviewing a bit, we can see that (-inf, -1) is negative as well as (0,3), making the interval notation (-inf, -1) U (0, 3) since when you plug -1, 0, and 3 in it is 0, not less than 0!
8 0
3 years ago
I Dont Understand How To Do This
ella [17]

Answer:

D??

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the number 3x1 + 2x
Nastasia [14]

Answer:

troupe ta reponse too meme je ne confused pas mais churches tu va trouver ou tu voie les autres responses correct

6 0
2 years ago
Write a standard form equation...
Alchen [17]
I know the answer isnt A
4 0
3 years ago
Other questions:
  • you deposit $3350 into a savings account that earns 5% interest compounded annually. Find the balance of the account after 2 yea
    14·1 answer
  • Consider the equation 1/3x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original eq
    15·1 answer
  • what fraction of the states in the southwest region shares a border with mexico is this fraction into simplest form
    11·1 answer
  • Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:
    12·1 answer
  • What is the solution of the equation?. 3^5√(x+2)^3+3=27
    10·1 answer
  • Which of the following shows two points on the line f(x)=x-7
    7·1 answer
  • What is y-2=-3 (x-7) in standard form
    14·1 answer
  • Is the enlargement shown below a dilation…. Please I need help ASAP
    11·1 answer
  • Write a recursive rule for the sequence. The sequence may be arithmetic, geometric or neither: 66,33,16.5,8.25,...​
    9·1 answer
  • Melanie buys 2 goldfish per month. How many goldfish will she have after a year?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!