Volume Post

Textbook

Chapter 7.3
4.
a)

v = π.r.r.h
v = (3.14x5x5) x 23
v = 78.5 x 23
v = 1805.5cm3


b)

v = π.r.r.h
v = (3.14x14) x 12
v = 615.44 x 12
v = 7385.28cm3


c)

v = π.r.r.h
v = (3.14x0.5x0.5) x 1.5
v = 0.785 x 1.5
v = 1.1775m3


Chapter 7.4
3.
a)

v = (bxh÷2) x h2
v = (1.4x1.7÷2) x 1.7
v = 1.19 x 1.7
v = 2.023m3

Link
http://www.math.com/tables/geometry/volumes.htm

Video

2 Questions on Volume

a) Yes he does have enough small prisms. (16)
b) v= b x h1/2 x h2
v=1.4 x 1.7/2 x 1.8

v= 1.19 x 1.18
v= 1.4042

v= 1.4042 x 16squares= 22.46m3

4. a) v= pi.r.r.h

v= (3.14.5.5).23

v=78.5 x 23

v= 1805.5cm3

b) v= pi.r.r.h

v= (3.14.14.14).12

v= 7385.28cm3

Homework booklet p. 78-79

Question 7.
it asks you to find the height of these rectangular prisms
A)
volume=63cm3
area of base=9cm
B)
volume=26m3
area of base=4m2

Here are the answers:














Question 8.
It asks how much water is needed to be put in the pool if that area of the bottom is 27m2 and the height of the water needs to be 0.9m?

Answer:














Question 9.
It asks which has less chocolate?
Answer:


Here is a link
Here is a video










Cylinder volume and volume problems

Windy's Cylinder Volume and Volume Problems

Chapter 7.3










a) V= π.r.r.h
V= (3.14.5.5).23
V= 78.5
V= 1805.5 cm3

Chapter 7.4













a) Yes, he has enough small prism.

b) ( 22.47 m3
v= (b x h1/2) x h2
v= (1.4 x 1.7/2) x 1.18
v= 1.19.1.18
v= 1.4042 m3
1.4042 x 16= 22.4672.7 -> 22.47 m3

1.4042 x 4 = 5.6168 -> 5.6 m
1.4042 x 4 = 6.88058 - > 6.8 m

Kaecee's Math Textbook Scribe

The questions I had to do were:
4, 5, and 6

4.) Determine the volume of each right rectangular prism.

a) V = l x w x h
3m x 5m = 15m2
15m2 x 1m = 15m3
V = 15m3

b) V = l x w x h
11m x 12m = 132m2
132m2 x 6m = 792m3
V= 792m3

c) V = l x w x h
4m x 6.2m = 24.8m2
24.8m2 x 2m = 49.6m3
V= 49.6m3

5.) What is the volume of each right rectangular prism?

a) V = l x w x h
2m x 2m = 4m2
4m2 x 10m = 40m3
V = 40m3

b) V = l x w x h
8cm x 7cm = 56cm2
56cm2 x 9cm = 504cm3
V = 504cm3

c) V = l x w x h
11.7mm x 6.3mm = 73.71mm2
73.71mm2 x 2.9mm = 213.759mm3
V = 213.759mm3

6.) Determine the volume of each cube.

a) V = s x s x s
10cm x 10cm = 100cm2
100cm2 x 10cm = 1000cm3
V = 1000cm3

b) V = s x s x s
3cm x 3cm = 9cm2
9cm2 x 3m = 27cm3
V = 27cm3

c) V = s x s x s
2.5cm x 2.5cm = 6.25cm2
6.25cm2 x 2.5cm = 15.625cm3
V = 15.625cm3

* If there are any mistakes please tell me what they are and I'll do my best to fix them.
Textbook work 7.3
The Jumbo:
d/2=r
20/2=r
10=r

V= pi.r.r.h
V=(3.14.10.10)40
V=314.40
v=125.60cm3

Popcorn Lover
d/2=r
30/2=r
15=r
V=pi.r.r.h
V=(3.14.15.15)
V=706.2.40

Cylinder Homework

. represent multiplied(x)

2.π.r.r + 2.π.r.h ( is the formula for solving this equation )

cylinder 1. 2.π.r.r + 2.π.r.h ( FORMULA )
2. 3.14 .3 .3 + 2 3.14 .3 .5 =
56.52 + 94.2 =
150.72cm²

cylinder 2. 2.π.r.r + 2.π.r.h ( FORMULA )

2. 3.14 .4 .4 + 2.3.14 . 4. 15 =
100.48 + 380=
477.28²


http://www.mathsteacher.com.au/year9/ch14_measurement/15_total/cylinder.htmu/year9/ch14_measurement/15_total/cylinder.htm

Volume Post

Chapter 7.4













Inside Circle:

r=d÷2 V=pi.r.r.h
r=8÷2 V=(3.14x4x4)x40
r=4cm V=2009.6cm³


Outside Circle:

r=d÷2 V=pi.r.r.h
r=10÷2 V=(3.14x5x5)x40
r=5cm V=3140cm³
3140cm³-2009.6cm³=1130.4cm³


Chapter 7.3

Jumbo:

r=d÷2 V=pi.r.r.h
r=20÷2 V=(3.14x10x10)x40
r=10cm V=12,560cm³

Popcorn Lover's:

r=d÷2 V=pi.r.r.h
r=30÷2 V=(3.14x15x15)x20
r=15cm V=14,130cm³


Martha should buy the popcorn lover's one because it has more volume than the jumbo one.Popcorn Lover's volume is 14,130cm³ while Jumbo's 12,560cm³

Volume Post

Hi! These were the answers to questions #1 and #3 on our math test today!

If the pictures above still leave you confused with surface area, check out these sites :

1. http://www.basic-mathematics.com/surface-area-of-a-rectangular-prism.html
2. http://www.aaaknow.com/geo79_x9.htm
3. http://www.shodor.org/interactivate/discussions/SurfaceAreaTriangular/

Also, here are some videos :

Feel free to make any changes or comments on my post. Okay bye :)

Cylinder Volume and Volume Problems

Answers:

Answers:

Van's volume post

7.3

The volume of a cylinder is 150 cubic cm. and its base is 48 sq. cm.What is the height to the nearest centimeter?

ANSWER:

Volume=area of circular base x height

150 cubic cm.=48 sq. cm. x H

150 /48 =H

3.125 sq. cm. = H

7.4

Two cylinders has the same volume.The first cylinder has a diameter of 10cm and height of 30 cm.The second cylinder has a diameter of 8 cm. What is the height of the second cylinder,to the nearest tenth of centimetre?

Answer:

* For the first cylinder

V=(pi x diameter)h

=(3.14 x 10cm)30cm

=31.14 cm. x 30cm.

V =942 sq. cm.

*For second cylinder

V=(pi x diameter)h

942 sq. cm. =(3.14 x 8cm)h

(942sq. cm./25.12 cm)=h

37.5cm.=H

The height of the 2nd cylinder is 37.5cm.

Volume Post

Chapter 7.4





Inside Circle:

r=d÷2 V=pi.r.r.h
r=8÷2 V=(3.14x4x4)x40
r=4cm V=2009.6cm³


Outside Circle:

r=d÷2 V=pi.r.r.h
r=10÷2 V=(3.14x5x5)x40
r=5cm V=3140cm³
3140cm³-2009.6cm³=1130.4cm³
Chapter 7.3






Jumbo:

r=d÷2 V=pi.r.r.h
r=20÷2 V=(3.14x10x10)x40
r=10cm V=12,560cm³

Popcorn Lover's:

r=d÷2 V=pi.r.r.h
r=30÷2 V=(3.14x15x15)x20
r=15cm V=14,130cm³


Martha should buy the popcorn lover's one because it has more volume than the jumbo one.Popcorn Lover's volume is 14,130cm³ while Jumbo's 12,560cm³

Volume Post

First Cylinder
V= 3.14 x r x r x h
V = 3.14 x 5 x 5 x 30
V= 2355 cm3

Second Cylinder
H = v/r/r/3.14
H = 30cm

H = v/aob
H = 150cm3/48cm2
H = 3cm

Tianna's Textbook Homework

Link

how to find the volume of a prism

http://www.youtube.com/watch?v=Cx4XDe8TUHM



Cylinder Volume and Volume Problems

a)

V= (3.14 x r x r) x h
V=(3.14 x 5 x 5) x 23
V= 1805.5cm3

b)

V= (3.14 x r x r) x h

V = (3.14 x 14 x 14) x 12

V= 7385.28cm3

c)

V= (3.14 x r x r ) x h

V=(3.14 x 0.5 x 0.5 ) x 1.5

V= 1.1775

Justin Lorenzo's Math Textbook Homework

Pages 259-260 Answers to # 7, 12, 14 (Math Textbook)


7.)

A) V= B x H ÷ 2 x H

V= 12 x 7 ÷ 2 x H

V= 42cm2 x 7cm2

V= 294cm3

B) V= B x H ÷ 2 x H

V= 8.1 x 2.2 ÷ 2 x 15

V= 8.91m2 x 15m2

V= 133.65m3

C) V= B x H ÷ 2 x H

V= 320 x 210 ÷ 2 x 400 / 67 200 ÷ 2 x 4

V= 33 600mm2 x 4mm2

V= 13 440 000 mm3
12.)

Base (cm)
7
18
20

Height Of Triangle (cm)
10
10
5

Height of prism (cm)
70
1080
700

14.)

V= B x H ÷ 2 x H

V= 15 x 8 ÷ 2 x 80

V= 60cm2 x 80cm2

V= 4800 cm3

If there are any other solutions, or mistakes I have typed please feel free to comment!

Which is the correct formula for volume?

V= B x H

V= B ÷ H

V= B x H ÷ 2 x H

V= B x H ÷ 2

or View Results

Create your own poll at Flisti.com



















7.3

(picture1)

v = π r r h
v = (3.14x5cmx5xm) x 23
v = 1805.5cm3

7.4

(picture 2)

r=d/2 bxh1/2 x h2
r=25/2 40x35/2 x 140cm2
r=12.5cm2 = 98000cm3

v=π r r h
v= (3.14x12.5x12.5)x100
v=49062.5cm3

98000cm3 - 49062.5cm3 = 48937.5cm3

HWB pg. 80 & 81 #4, 6, 8

4. Calculate the volume of each rectangular prism.
a) l = 15cm, w = 12cm, h = 3cm

v = l x w x h
15cm x 12cm = 180cm2
180cm2 x 3 = 540cm3

b)

v = l x w x h
8.5m x 7m = 59.5m2
59.5m2 x 2m = 119m3




c)

v = l x w x h
20cm x 8cm = 160cm2
160cm2 x 16cm = 2560cm3










6. Calculate the volume of each right triangular prism. Express the answer to the nearest tenth.

a)

v = b x h1/2 x h2
7.2 x 4.5cm/2 = 16.2cm2
16.2cm2 x 10cm = 162cm3








b)
v = b x h1/2 x h2
5 x 3/2 = 7.5cm2
7.5 x 8.5 = 63.8m3








c) A prism where the case of the triangle is 4m, the height of the triangle is 5m, and the prism height is 12m.

v = b x h1/2 x h2
4 x 5/2 = 10m2
10m2 x 12 = 120m3

8. Wab needs to buy drinks for the summer barbeque. Both containers are the same price. Which one holds more?

apple juice:
v = l x w x h
6cm x 9cm = 54cm2
54cm2 x 4.5cm = 243cm3

orange juice:
v = l x w x h
6cm x 10cm = 60cm2
60cm2 x 3.75 = 225cm3

Apple juice holds more juice (y)

Here is are links to help you out with finding out prism: 1, 2, and 3.

Here's a video:


URL of pictures:
http://www.clker.com/clipart-3934.html
http://www.ifood.tv/blog/apple-juice-health-benefits

Please tell me if I did any mistakes or what I can do better next time. (:



Cylinder Volume and Volume Problems

Chapter 7.3:

v = π r r h
v = (3.14x5cmx5xm) x 23
v = 1805.5cm3










Chapter 7.4:












Volume of cylinder: Volume of triangular prism:

r=d/2 bxh1/2 x h2
r=25/2 40x35/2 x 140cm2
r=12.5cm2 = 98000cm3

v=π r r h
v= (3.14x12.5x12.5)x100
v=49062.5cm3

98000cm3 - 49062.5cm3 = 48937.5cm3

Video:

* I meant to say cubed when I said squared on the part where i was supposed to say cubed :P