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
xenn [34]
3 years ago
14

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t

his week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the value 3.14 for П, and round up your answer to the next square meter.

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

You might be interested in
What is the resulting ordered pair if the value of the independent variable is 5?
eduard
F(5) = -2 * 5 + 1 = -9
the pair is (5, -9)
6 0
3 years ago
a rectangular plot of ground is 30 meters longer than it is wide. its area is 15,00 square meters. what equation will help you f
e-lub [12.9K]
Length(width + 30)=15,000 square meters, so the equation is l(w+30)=15,000, either 15,000 or 1,500 i cannot tell which number you were meaning to say because of where your comma is placed.
4 0
3 years ago
A circle with a radius of 7 inches
Maslowich
Diameter is 14 inches
6 0
3 years ago
Read 2 more answers
133 * what gets you to 432 1/4
tatiyna

Answer:

3 1/4

Step-by-step explanation:

You can do a equation:

133x=432 1/4

Which would give you 3.25 but in fraction form it is 3 1/4

Hope this helped!

7 0
2 years ago
11. What is the name of Angle 7 and Angle 8?
Sever21 [200]

Answer:

to answer this you need picture

8 0
3 years ago
Other questions:
  • Find the radius of each sphere. a sphere with a volume of 1,767.1 m^3
    15·1 answer
  • What is the mass of 20 gallons of gasoline?
    7·1 answer
  • Please right answer only immediately
    8·1 answer
  • Find the product of 21 and (6.3 · 10^-4).0.1323 · 10^-1 1.323 · 10^-3 1.323 · 10-^2 1.323 · 10^2
    7·1 answer
  • There are 1,845 seats in auditorium. The auditorium has 15 sections with the same number of seats in each section. How many seat
    10·1 answer
  • 16% of what number is 2?
    12·2 answers
  • Can someone help me ​
    14·2 answers
  • Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowe
    12·1 answer
  • Solve five ninths minus two sixths equals blank.
    13·2 answers
  • Solve the equation: q –10 = -10
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!