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
Viefleur [7K]
3 years ago
13

Tyler created a fence post by gluing a rectangular prism to the base of a square pyramid. One jar of paint covers an area of 3 s

quare feet. If Tyler does not paint the bottoms of the fence posts, how many jars of paint will he need to paint 6 posts? Explain.
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

404 jars of the paint will be required.

Step-by-step explanation:

From the figure attached,

Lateral area of the fence post = Lateral surface area of the rectangular prism + Lateral surface area of the square pyramid

Lateral surface area of the rectangular prism = Perimeter of the base × height

= (4 × 6) × 48

= 24 × 48

= 1152 square inches

Lateral area of the square pyramid = 4[Area of one lateral side (triangle)]

                                                          = 4[\frac{1}{2}(\text{Base})(\text{Height})]

                                                          = 4[\frac{1}{2}(6)(5)]

                                                          = 60 square inch

Total lateral area of the fence pots = 1152 + 60

                                                          = 1212 square inch

∵ 3 square inch of the fence post is painted by number of jars of paint = 1

∴ 1 square inch of the fence post will be painted by = \frac{1}{3} jars

∴ 1212 square inch fence post will be painted by = \frac{1212}{3}=404 jars

Therefore, 404 jars will be required to paint the fence post.

You might be interested in
Write a two-column <br> Give: <br><br> proof: x=45
AleksAgata [21]
Two lines that cross each other have each pair of angles the same.

2x+6=96 --> x=45
8 0
3 years ago
Can someone help me please I’ve been trying the last hour to figure this out
Irina-Kira [14]

Answer:

It is the third one down.

Step-by-step explanation:

The two smaller angles would be the same measurement because the angle bisector cuts the big angle down the middle.    So, if the big angle was 90°, the two smaller angels would be 45°.  

8 0
1 year ago
Read 2 more answers
Why is it important to take personal responsibility for becoming<br> financially literate?
lawyer [7]

Answer:

Financial literacy is important because it equips us with the knowledge and skills we need to manage money effectively. Without it

Step-by-step explanation:

5 0
2 years ago
$54,000 at 7% for 3 years
solniwko [45]
The answer to this problem is 11340
Multiply 54,000 by 7% (7/100) by 3 
remember i=prt ( interest= principal, rate, time
5 0
3 years ago
Read 2 more answers
A cone with diameter 20 cm and a height of 20 cm. Find the volume of the cone rounded to the nearest tenth.
zhuklara [117]

Answer:

2094.4 cm³

Step-by-step explanation:

The volume of a cone =πr²h/3

Where

r = radius = Diameter/2

Diameter = 20cm, radius = 20cm/2 = 10cm

Height = 20cm

Volume of a cone = π × 10² × 20/3

Volume of a cone = 2094.3951 cm³

Approximately to the nearest tenth = 2094.4 cm³

Therefore , the volume of a cone = 2094.4 cm³

8 0
3 years ago
Other questions:
  • What is the unit rate for 175 calories in 12 ounces
    7·1 answer
  • What is the mass of a truck if it produces a force of 14,000N while accelerating at a rate Of 5 m/s?
    10·1 answer
  • Julia bought name tags for a party. Each name tag is 334 in. wide and 213 in. high.
    7·2 answers
  • Please help me!
    5·2 answers
  • Compare the areas. What is the ratio of the areas? SHOW YOUR WORK
    6·1 answer
  • A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to
    12·1 answer
  • Becky’s mother works in an office, and her father works in a hospital. They both walk to work from home every day. Each unit on
    8·2 answers
  • Determine the solution to the system of equations below x - 3y = 1.
    6·1 answer
  • Which relationship describes angles 1 and 2?
    15·1 answer
  • Which of the following statements is false?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!