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
11

Find the volume of the given prism. Round to the nearest tenth if necessary.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

= 2,047.5 yd³

19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

You might be interested in
Lilly cut a piece of string that was 17 feet long.luna cut a piece of string that was 5 yards long.Lilly wanted to cut her strin
olasank [31]

Answer:

Lilly only needed to cut off 15 feet.

Step-by-step explanation:

1 yard = 3 feet. Luna cut 5 yards, so she cut 15 feet off. Lilly, on the other hand, cut off 17 feet.

3 0
2 years ago
Read 2 more answers
What is the volume of a cylinder with base radius 222 and height 666? either enter an exact answer in terms of \piπpi or use 3.1
Leno4ka [110]

In this question, it is given that the base radius is 2 , height is 6 and the value of pi is 3.14 .

And we have to find the volume of the cylinder, and for that, we have to use the following formula

V = \pi r^2 h

Substituting the values of pi,r and h, we will get

V = 3.14(2)^2 * 6 = 75.36 \ cubic \ units

3 0
3 years ago
Read 2 more answers
Help me with this one
Cloud [144]
The answer would be, y - 32 + 4y
3 0
3 years ago
Read 2 more answers
A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circl
Tamiku [17]

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3 )²

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

4 0
3 years ago
Aileen drives 208 miles in 4 hours. What is her speed in miles per hour? (label with "miles per hour")
77julia77 [94]

<u>Answer:</u>

52 miles per hour (mph)

<u>Step-by-step explanation:</u>

208 miles ÷ 4 hours = 52 miles per hour (mph)

<em>Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!</em>

-Bee

7 0
3 years ago
Other questions:
  • What is the simplified form of the expression?
    9·1 answer
  • A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
    7·1 answer
  • Solve for X . You must show all of your work to receive credit.
    14·1 answer
  • Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much
    7·1 answer
  • A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem. What are the measure
    12·1 answer
  • Malika charges $7.20 per hour for babysitting.she babysits 4 hours each week.she spends $10 per week and puts the rest of her ea
    8·2 answers
  • Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value
    5·1 answer
  • Please!!!!!!!!! Show your work correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • Which table of ordered pairs represents a proportional relationship?
    13·2 answers
  • What is the solution 3(2x-6)+4=8x-2(x+1)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!