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
FromTheMoon [43]
2 years ago
9

EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the f

inished object assuming it is empty inside.

Mathematics
1 answer:
Ymorist [56]2 years ago
7 0

Given:

A combined figure of a triangular prism and a cuboid.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.

So, the volume of the cuboid is:

V_1=length\times width\times height

V_1=6\times 8\times 5

V_1=240

The volume of the cuboid is 240 cubic cm.

The area of a triangle is:

Area=\dfrac{1}{2}\times base\times height

Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:

B=\dfrac{1}{2}\times 8\times 4

B=16

The volume of a triangular prism is:

V_2=Bh

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

V_2=16(5)

V_2=80

Now, the volume of the given figure is:

V=V_1+V_2

V=240+80

V=320

Hence, the volume of the finished object is 320 cubic cm.

You might be interested in
The perimeter of a rectangle is 56 inches. The rectangle is 20 inches long. How wide is the rectangle?
Mamont248 [21]

Answer:

The answer is A 8 inches

Step-by-step explanation:

If the perimeter is 56 inches and it is 20 inches long, then you would multiply 20 by two and get 40, then you subtract 40 from 56 and get 16. Finally, you divide 16 by two and get 8. So, A 8 inches will be your answer.

5 0
3 years ago
Anna's mother is concerned about her pulse rate and asks her to rest. After lying down it decreased 20%. What is her heart rate
maks197457 [2]

Answer:

don't know gfy

4 0
3 years ago
Solve for x with an explanation pls
Tatiana [17]

Answer: 9

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle.

a^2+b^2=c^2

(\sqrt{63}) ^2+x^2=12^2\\63+x^2=144\\x^2=81\\x=9

6 0
3 years ago
Read 2 more answers
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4
erma4kov [3.2K]

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

7 0
3 years ago
Read 2 more answers
Samantha is deciding between two different movie streaming sites to subscribe to. Plan A costs $18 per month plus $1 per movie w
WARRIOR [948]

Answer:

Samantha would have to watch 4 Movies so x=4

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is the range of the function
    11·1 answer
  • In the following triangle theta=60.Find the values of the angles of the angles B and B'
    8·1 answer
  • Frank is entering college and is trying to decide between a business major and a liberal arts major. He decides to conduct a ran
    5·2 answers
  • What is 423.408 rounded to the neatest hundredth
    9·2 answers
  • A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and
    9·1 answer
  • The triangular prism shown has ? triangular face(s) and ? lateral face(s).
    8·1 answer
  • * * <br> Urgent I really must get these I would appreciate any help I can get, thank you. (22 pts)
    13·1 answer
  • anthony is solving the equation x^2-12x=16 by completing the square. what number should be added to both sides of the equation t
    12·1 answer
  • What is 2 1/3 divided by 3 1/2?
    6·1 answer
  • Helpppppppppp!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!