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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)

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V= πr^2h

This is the formula for volume of a cylinder. The volume formula builds off the area formula. Where area is more 2-dimensional, volume is 3-dimensional. You can think of a flat sheet of paper for area (2-dimensional) and a solid box for volume (3-dimensional).

Usually your teacher would give the formulas when starting this section of math. From there, either keep a list of needed formulas in your math folder for easy reference, or try to memorize the formulas for the current section of math you are working on. Some teachers allow formula reference sheets and some do not.

Hope this answers your question! :)
4 0
3 years ago
Which expression is not equivalent to
zheka24 [161]

Answer:

B i think I'm kinda sure tho

b

7 0
2 years ago
Given the system of equations, what is the solution? <br><br> x + 2y = 11 <br> x - 2y = -1
zhenek [66]

We need to solve x+2y=11 for x

Let's start by adding -2y to both sides

x+2y -2y = 11-2y

x= -2y+11

Now substitute -2y+11 for x in x-2y =-1

x-2y=-1

-2y+11-2y=-1

-4y+11=-1

Add -11 to both sides

-4y+11-11=-1-11

-4y=-12

Divide both sides by -4

-4y/-4 = -12/-4

y= 3

Substitute 3 for y in x=-2y+11

x= -2y+11

x = (-2)(3)+11

x=-6+11

x=5


The answer is x=5 and y=3

(5,3)


I hope that's help:)



4 0
3 years ago
Name the coordinates of the points on the graph.<br> F<br> G<br> H<br> M<br> P
Margarita [4]

Answer:

Is their a picture so we can see where to put it

7 0
3 years ago
Gene says that -2 is less than -2.25. Is he correct? Explain why or why not.
Fittoniya [83]

Answer:

No

Step-by-step explanation:

-2 is closer to zero than -2.25, which means -2 is greater than -2.25

3 0
3 years ago
Read 2 more answers
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