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
Dmitrij [34]
3 years ago
14

1.)Find the height of a rectangular prism if the surface area is 148 cm2, the width is 4 cm and the length is 5 cm.

Mathematics
1 answer:
Contact [7]3 years ago
5 0
1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)

Therefore:
148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)=
148 cm²=40 cm²+10 cm h+8 cm h
18 cm h=148 cm²-40 cm²
18 cm h=108 cm²
h=108 cm² / 18 cm=6 cm.

answer: height=6 cm 

2)
Volume of a rectangular prism= length x width x height 
therefore:
34 cm³=(1.7 cm)(0.5 cm) h
0.85 cm² h=34 cm³
h=34 cm³/0.85 cm²
h=40 cm.

answer: height=40 cm

3)
volume of a cylinder: πr²h
therefore.
118.79 ft³=πr²(5 ft)
r=√(118.79 ft³/5π ft)≈2.75 ft

answer: radius=2.75 ft

4)
 
Surface area of the pyramid with square base=4(A side)+A base
A side=(1/2)(8ft)(12 ft)=48 ft²
A base=(8 ft)(8 ft)=64 ft²

surface area=4(48 ft²)+64 ft²=256 ft²

Answer: the surface area of this pyramid would be 256 ft².

5)
surface of a cone=πrs+πr²
therefore:
radius=diameter/2=6.2 ft/2=3.1 ft
63.3 ft²=π(3.1 ft) s+π(3.1 ft)²
3.1π ft s=33.109 ft²
s=33.109 ft² /3.1π ft
s≈3.4 ft

Answer: the slant height would be 3.4 ft.

6)
volume of a square pyramid=(area of base x heigth)/3
therefore:
area of base=(6 ft)(6 ft)=36 ft²
126.97 ft³=36 ft² h /3
h=126.97 ft³/12 ft²=10.58 ft

answer: the height would be 10.58 ft.

7)
volume of a cone =(base x height)/3
base of a cone=πr²
therefore: 
199.23 cm³=πr²(9 cm)/3
r=√(199.23 cm³ / 3π cm)≈4.6 cm

answer: the radius would be 4.6 cm.

You might be interested in
Objectives
astra-53 [7]

Answer:

try (1, 3) idk tho

Step-by-step explanation:

5 0
3 years ago
If Eight avocados cost $4. How much do 20 avocados cost?
Juliette [100K]

Answer:

$10

Step-by-step explanation:

divide $4 by 8. you get $.50. multiply that by 20 and you get $10

5 0
2 years ago
How many families in Oats Township have two or more cars?<br> 100<br> 4<br> 1<br> 2<br> 400<br> 200
Colt1911 [192]

Answer:

200

Step-by-step explanation:

Good luck <3

5 0
2 years ago
This is the question but thank you
kifflom [539]

Answer:

8200/1000 = 8.2 so each time a class sells 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

8 0
2 years ago
A plastic board that is 15 feet long is leaning against a wall
Dennis_Churaev [7]

Answer:

9 ft

Step-by-step explanation:

<h3>a²+b²=c²</h3><h3>a²+12²=15²</h3><h3>a²+144=225</h3><h3>225-144=81</h3><h3>√81=9</h3>
6 0
3 years ago
Other questions:
  • 15 POINTS !!
    11·2 answers
  • Whats the area of the shaded regions (show work)
    6·1 answer
  • Please help with this question!!!!
    6·2 answers
  • Please Help!!!
    15·1 answer
  • Which situation would a scatter plot best be used
    10·1 answer
  • A line passes through (–1, 5) and (1, 3). Which is the equation of the line?
    12·1 answer
  • What is 4627926 rounded to the nearest 100000
    6·2 answers
  • How can you know if statement is true? <br> 1/2+3/8=4/10=2/5
    15·1 answer
  • Gloria subscribes to the Webtime Internet Service. Webtime charges a $9.99 monthly service fee plus $1.50 per hour for Internet
    11·2 answers
  • In ΔQRS, q = 91 inches, r = 67 inches and ∠S=109°. Find the length of s, to the nearest inch.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!