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
ANTONII [103]
3 years ago
5

How is the volume of a prism calculated?

Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0

Multiply the area of the base by the height

lidiya [134]3 years ago
5 0

Answer:

C) multiply the area of the base by the height

Step-by-step explanation:

Prism is a three dimensional figures.

The volume of a prism calculated by multiplying the area of the base and  the height.

Volume of a prism = Base area * height.

For example:

Volume of a rectangular prism = base area * height = (lw)*h = lwh cubic units

Volume of a cube = Base area * height = (a*a)*a = a^2*a = a^3 cubic units

Volume of a cylinder = Base area * height = (πr^2)*h = πr^2 h

The answer is C) multiply the area of the base by the height

You might be interested in
You are in charge of the Annual Powder Puff football game. You designed a t-shirt to sell during the event. A company charges $7
vekshin1
We're looking for C(h), where h is the hundreds of shirts.  The fact that they cost "$500 for each additional 100 t-shirt" tells us the slope is 500.  Knowing that 1 hundred costs 750, we could use point-slope at this point: (C - 750)/(h - 1) = 500C - 750 = 500h - 500C(h) = 500h + 250 We can check that C(1) = 750 and C(2) = 1250, as we expect.  I'll leave it to you to evaluate C(5).
7 0
3 years ago
Maggie graphed the image of a 90° counterclockwise rotation about vertex A of △ABC. Coordinates B and C of △ABC are (2, 6) and (
Vitek1552 [10]

Answer:

  A(2, 2)

Step-by-step explanation:

I find it useful to graph the given points. The center of rotation is at the place where the perpendicular bisectors of BB' and CC' meet. That point is ...

  A =  (2, 2).

__

The graph shows you the slope of BB' is 1, so its perpendicular bisector will have a slope of -1. The midpoint of BB' is (2-2, 6+2)/2 = (0, 4). This is the y-intercept of the line, so the perpendicular bisector of BB' has equation ...

  y = -x +4

The slope of CC' is -1/3, so its perpendicular will have a slope of -1/(-1/3) = 3. The midpoint of CC' is (4+1, 3+4)/2 = (5/2, 7/2). In point-slope form the equation of the perpendicular bisector of CC' is ...

  y -7/2 = 3(x -5/2)

  2y -7 = 3(2x -5) . . . . multiply by 2

  2(-x+4) -7 = 3(2x -5) . . . substitute for y

  -2x +1 = 6x -15 . . . . .eliminate parentheses

  16 = 8x . . . . . . . . . . add 2x+15

  x = 2 . . . . . . divide by 8

  y = -2+4 = 2 . . . . from the equation for y

The intersection of the perpendicular bisectors of BB' and CC' is the center of rotation:

  A = (2, 2)

8 0
4 years ago
Blocking in experimental design is useful because it:
MrMuchimi
The correct awnser is B. APEX

7 0
3 years ago
Read 2 more answers
Help please. Will Mark Brainliest!!
ladessa [460]
Answer

7/10

This should work
5 0
3 years ago
Read 2 more answers
Vertex of x^2 + 6x + 17
jekas [21]

We have: f(x)=x^2+6x+17

Method 1.

Use: (*)\ \ \ \ \ (a+b)^2=a^2+2ab+b^2

and the vertex form f(x)=a(x-h)^2+k

(h, k) - the coordinates of a vertex

x^2+6x+17=x^2+2\cdot x\cdot3+17=\underbrace{x^2+2\cdot x\cdot3+3^2}_{(*)}-3^2+17\\\\=(x+3)^2+8\to h=-3;\ k=8

Answer: (-3, 8)

Method 2.

For f(x)=ax^2+bx+c the coordinates of a vertex (h, k) are equal

h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}

We have: f(x)=x^2+6x+17\to a=1;\ b=6;\ c=17

Substitute:

h=\dfrac{-6}{2\cdot1}=\dfrac{-6}{2}=-3\\\\k=f(-3)=(-3)^2+6(-3)+17=9-18+17=8

Answer: (-3, 8)

5 0
4 years ago
Other questions:
  • Matt plans to put concrete on a rectangle portion of his driveway. The portion is 8 feet long and 4 inches high. The price of co
    15·1 answer
  • A used motorcycle can be purchased
    5·1 answer
  • What is the product of -6.8 to the second power
    8·1 answer
  • Which relation is not a function?
    12·1 answer
  • What is the area of the acute triangle given below?<br> 1<br> 61<br> 12
    8·2 answers
  • A television is regularly priced at $900. This week, it goes on sale for 15% off. What's the new sale price? Step 1: set-up and
    7·1 answer
  • What is the area of the figure, use 3.14 for π
    9·2 answers
  • your village community group is putting a new fence around the park .you offer to help and measure the distance around the park
    11·1 answer
  • 45 POINTS
    9·2 answers
  • Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number l
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!