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
Volgvan
3 years ago
14

Find the volume of the L shaped composite prism, show clearly how you got your answers

Mathematics
1 answer:
ruslelena [56]3 years ago
3 0

9514 1404 393

Answer:

  510 cm³

Step-by-step explanation:

The overall height of the front face is 9+2 = 11 cm.

The overall width of the front face is 6+4 = 10 cm.

Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.

Then the area of the front face is ...

  (11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²

The volume of the prism can be found using the formula ...

  V = Bh

where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...

  V = (102 cm²)(5 cm) = 510 cm³

The volume of the prism is 510 cm³.

You might be interested in
Sketch one cycle of the cosine function y=-cos 3 theta
Bumek [7]
The graph of the equation given by y=-cos³θ will be as follows:

7 0
3 years ago
Read 2 more answers
I don’t know how to solve this
LuckyWell [14K]

Answer:

(3x-5)x(3x+5)

Step-by-step explanation:

Calcula el producto

7 0
3 years ago
Read 2 more answers
What is the mode of the data set?<br> a. 90<br> b. no mode<br> c. 85.5<br> d. 49
grandymaker [24]

Answer:

90

Step-by-step explanation:

5 0
3 years ago
Find the surface area of a cylinder
IceJOKER [234]
A = 2•3.14•3•8 + 2•3.14•3^2 = 207.34512
6 0
3 years ago
Read 2 more answers
How to <br> Write <br> 3/9<br> in simplest form.
White raven [17]
To write it in simplest form, you must find a common factor.

In \frac{3}{9}, 3 is a factor of both 3 and 9

3÷3=1 and 9÷3=3

So \frac{3}{9} =  \frac{1}{3}

\frac{1}{3} is your answer in simplest form.
3 0
3 years ago
Other questions:
  • Please help! I’ll really appreciate it!
    10·1 answer
  • you and your friend share a package of candies. You eat twice as many candies as your friend. If there were 36 candies in the ba
    5·1 answer
  • The sum of two numbers is 3. Their difference is -5. What are the two numbers?
    10·1 answer
  • What is -4y-4+(-3)? please help
    8·2 answers
  • I will give brainliest just please help
    10·2 answers
  • What type of angles are
    6·1 answer
  • Find the missing angle​
    7·1 answer
  • Explain the different types of motion of a sewing machine​
    8·1 answer
  • Find Ms. Buggie's mistake in the following problem. Then, give what the correct answer should be.
    8·1 answer
  • Determine graphically if each function is even,odd,or neither.if even or odd state the symmetry
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!