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
Solve: 8.2 = 3.4 + d d = _____
Alinara [238K]

Answer:

4.8

Step-by-step explanation:

You just subtract to solve for d so,

8.2 = 3.4 + d

-3.4   -3.4

4.8 = d

8 0
3 years ago
F(x) = 3x + 2 What is f(5)?
Ulleksa [173]

Answer:

if the equation if f(x) = 3x + 2, then f(5) would be equal to 3*5 + 2 = 17.

Step-by-step explanation:

8 0
3 years ago
How can numbers be expressed, ordered and compared?
USPshnik [31]
Numbers can be expressed, ordered and compared by a lot of mathematical principles, properties, models and paradigms. There are different properties of numbers to associate, group and distribute numbers. For example commutative property of addition, 1 + 2 = 3 can be 3 = 1 + 2. Moreover, numbers can be expressed by mathematical form, thus 100 wherein 1 is in the place order of hundreds. And so on… other examples can be mathematical symbols or inequality to compare numbers. For example, 1 > 2. One is less than 2.



6 0
3 years ago
Choose two angles that are each separately alternate exterior angles with 412.
Alborosie

Answer:

∠2 and ∠5

Step-by-step explanation:

we know that

<u>Alternate Exterior Angles</u> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal

In this problem

∠12 and ∠2 are alternate exterior angles

∠12 and ∠5 are alternate exterior angles

therefore

∠2 and ∠5 are each separately alternate exterior angles with ∠12

6 0
3 years ago
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
BaLLatris [955]

We will use this formula = 1/2 × base × height

And thus

1/2 × 8 ×8

4 0
3 years ago
Other questions:
  • Angela is taping 7 boxes for storage. She uses 1 1/2 feet of tape to close each box how much tape will Angela need to tape the b
    8·1 answer
  • Between the time iko woke up and lunch time the temerature rose by 11°.Then by the time he went to bed ,the temperature dropped
    14·1 answer
  • The number 64 is a perfect ___<br><br> A. Square<br><br> B. Cube<br><br> C. Both
    15·2 answers
  • Which expression is undefined
    8·1 answer
  • Mrs.drew want to build a square sandbox with an area of 361 square feet what is the total length of wood mrs. Drew needs to make
    11·1 answer
  • 30 points for whoever gets it right! !!
    14·1 answer
  • The radius of a circle is 20 inches. Enter the area of the circle in square inches round your answer to the nearest tenth and us
    11·1 answer
  • Will mark brainliest answer for fastest answer given
    13·2 answers
  • Francis works and earns $3437 dollars but on a pay stub pays 42% to tax.
    11·1 answer
  • Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!