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
Sholpan [36]
3 years ago
8

A rectangular prism has sides that are in the ratio of 3:5:9. If the volume of the prism is 8640 cm3, then the surface area of t

he prism, in square millimetres, is_______?
Mathematics
1 answer:
densk [106]3 years ago
3 0

The surface area of the rectangular prism is 278400 square millimeters, if a rectangular prism has sides that are in the ratio of 3:5:9 and the volume of the prism is 8640 cubic centimeters.

Step-by-step explanation:

The given is,

                Volume of Rectangular prism - 8640 Cubic centimeters

                Ratio of rectangular prism sides are 3:5:9

Step:1

               Formula for volume of rectangular prism,

                                           Volume, V = whl...................................(1)

               Where, w - width of the prism

                            h - Height of the prism

                             l - Length of the prism

               Let, x - side of the rectangular prism

               From given values,

                       Volume, V = 8640 cubic centimeters

                          Width, w = \frac{3}{17}x

                         Height, h = \frac{5}{17} x

                          Length, l = \frac{9}{17}x

              Equation (1) becomes,

                                8640=(\frac{3}{17}x)(\frac{5}{17} x)(\frac{9}{17}x)

                                        = 0.027478 x^{3}

                                    x^{3}= \frac{8640}{0.027478}

                                      x = \sqrt[3]{314432}

                                         = 68

Step:2

              Width, w = \frac{3}{17}x  = (\frac{3}{17}) (68)  = 12 cm

             Height, h = (\frac{5}{17} )(68) = 20 cm

              Length, l = (\frac{9}{17})(68)=36cm

Step:3

            Formula for surface area of rectangular prim,

                                            A= 2(wl+lh+hlw)

            From the values of w, l and h,

                                               = 2 [(12)(20)+(36)(20)+(36)(12)]      

                                               = 2 (240+720+432)

                                               = 2(1392)

                                               = 2784 Square centimeters

                                               = 2784 × 100 square millimeters

                         ( 1 square centimeters = 100 square millimeters )

                                            A = 278400 square millimeters

Result:    

             The surface area of the rectangular prism is 278400 square millimeters, if a rectangular prism has sides that are in the ratio of 3:5:9 and the volume of the prism is 8640 cubic centimeters.

You might be interested in
Can someone help me this this sheet please and thank you.!
AveGali [126]

Answer:

1- faster 2- rises,sink 3-equater 4-convection idk the rest

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which could be used to evaluate the expression -6(4 2/3)
olasank [31]

Answer:

-28

Step-by-step explanation:

4 2/3=14/3

-6(14/3)=-2*14=-28

6 0
3 years ago
{20, 30, 40, 50, 60, 70, 80} The mean of this set of numbers is A) 20 B) 50 C) 55 D) 60
shusha [124]

Answer:

50

Step-by-step explanation:

Adding up 20, 30, 40, 50, 60, 70, 80, we get 350.  There are 7 numbers in this set, so divide this 350 by 7.  We obtain the mean, 350/7 = 50 (Answer B)

4 0
3 years ago
Read 2 more answers
Please answer thank you
Nina [5.8K]
If x is equaled to 10 then you will place 10 into 3 and it would look like this 3(10) + 5y= 20 now your next step is to multiply 3•10=30 so 30+5y=20 now all you have to do is 20- (-30)= -10 and then divide by 5 and it’s equal to -10/5= -2
5 0
3 years ago
Two runners start the race at the same time. The first runner's speed is
ki77a [65]

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

<h3>Speed</h3>

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the first runner and b for the second runner. Hence:

a = (4/5)b

After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:

a = d₁ / 0.5

d₁ = 0.5a

Also:

b = d₂/0.5

d₂ = 0.5b

d₁ + d₂ = 2, hence:

0.5a + 0.5b = 2

0.5(4/5)b + 0.5b = 2

b = 2.22 mph

a = (4/5) * 2.22 = 1.78 mph

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

Find  out more on Speed at: brainly.com/question/13943409

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the solution to the system?<br> 5x-y+z=4<br> x+2y-z=5<br> 2x+3y-3z=5
    8·1 answer
  • What is 6x multiplied by x
    12·2 answers
  • Answers 1-8 ? Please and thankyou.
    9·1 answer
  • A layered birthday cake has two rectangular prism layers. The base layer measures 12 inches by 10 inches.The second layer is thr
    11·1 answer
  • Please answer this question! 20 points and brainliest!
    7·1 answer
  • 75% of what number us 105?
    9·2 answers
  • What is 75% of 180?​
    12·2 answers
  • I wished I’d bought the game last week for $199.00. I missed the sale, and now it’s an additional 25%. What will it cost me now
    7·1 answer
  • In the game kazoo teams lose one point each time they skip a turn they earn a point each time there team guesses correctly.
    8·2 answers
  • Is this right??? Yes or no
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!