Showing posts with label Volume. Show all posts
Showing posts with label Volume. Show all posts

Wednesday, March 16, 2011

Volume Post

This is a Cylinder problem.


Pi.r.r.h
πx5x5=79cm^3
79x23=
V
1,817=
V


This is my
triangular prism problem.




a) Yes, he has enough, he only needs 16 triangles
b) 5.6x6.8/2x1.18= 22.46^2

Tuesday, March 1, 2011

Surface Area and Volume

Here is a question from 7.3 in the text book :










r=d/2 v=πr² x h
r=8/2 v=(3.14x4x4) x 10m
r=4m v=50.24m² x 10m
v= 502.4m³
Now, since it is only half of a cylinder, I have to divide by 2
502.4m³/ 2= 251.2m³

The area of the semi-circular trough is 251.2cm³

Here is a question from 7.4 in the textbook :


____
³ )8000 = 20 d/2=r v= πr² x h
20/2=r v= (3.14x10x10) x 20
10cm=r v= 314cm²x 20cm
v= 6280cm³
The volume of the vase is 6280cm³

Kyle's volume post

Cylinder Volume


v= pi x r x r x h
v= 3.14 x 23 x5
v= 72.22 x 5
v = 361.1 cm^3



























d/2=5
Pi x r x r x h
3.14x5x5x20
1570.cm^3

Thursday, February 17, 2011

John Chua's textbook work : volume pages 259-260 #7,12,14


Formula used:
Area of the base x height
b x h1 x h2= volume

A)
7 x 7 / 2 = 24.5cm squared
24.5cm squared x 12 = 294cm cubed

B)
8.1 x 2.2 / 2 = 8.91m squared
8.91 x 15 = 133.65m cubed

C)
320 x 210 = 33,600mm squared
33,600 x 400 = 13 440 000mm cubed





A) height of prism (cm) = 10
how?
7 x 2 / 2= 7cm squared
70 / 7 = 10cm

B) height of triangle (cm) = 12
how?
1080 / 10= 180cm
180 x 2 = 216cm
216 /18 = 12cm

C)base(cm)=20
700 / 5 =140
140 x 2 =280
280 / 14 = 20





volume= 4800cm cubed]
how?
b x h1 x h2= volume
8x 15 / 2= 60cm squared
60cm squared x 80 = 4800cm cubed

Cylinder and Volume Problems



A)3x4x4=48cm^2
48cm^2 x 10cm= 480cm^3

b)3.14 x 4.1 x 4.1=53cm^2
53cm^2 x 11 = 583cm^3



R=d/2
R=10/2
R=5
R=8/2
R=4

outside radius 5cm
inside radius 4cm
height 40cm

pi x r x r = area of base

3.14 x 5 x 5 = 78.5cm^2
78.5cm^2 x 40 cm=3,140 <---- Outside Volume 3.14 x 4 x 4 = 50.24^2 50.24cm^2 x 40cm = 2009.6cm^3 <-------- Inside Volume 3140cm^3-2009.6cm^3= 1,130.4cm^3

Math Textbook pages 250-253 #3,7,9,11,15


3.
a) V=Area of Base x h
V= 15cm2 x 4cm
V= 60cm3
b) V=Area of Base x h
V= 18cm2 x 12cm
V= 216cm3
c) V=Area of Base x h
V= 96cm2 x 20cm
V= 1920cm3


7. a) V/Area of Base = h
32cm3/8cm2 = h
4cm = h

b) V/Area of Base = h
35cm3/5cm2 = h
7cm = h

c) V/Area of Base = h
36cm3/9cm2 = h
4cm = h
9.
11. V= area of base x h
V= 10.4cm2 x 9
V= 93.6cm3

15. I'm not sure if I got this question right.
Area of base x h = V
615m2 x 44.5 m = 27367.5m3
425m3 / 27367.5m3 = 0.015529368%
0.015529368 x 100 = 1.5529368%
= 1.6%

Brandon's Text Book Volume Scribe

From the textbook, I had to do pages 260-261 numbers 11,16,17.
Here's what I did.

1)
Copy and complete the following table.
the 700 is supposed to be 1200, sorry for the mistake.


a) So this is what I did. I needed to find the height for the first one so I divided 70 by 7 and I got 10
then I divided 10 by 2 and got 5.

b)For the second one I did the same thing 1080/12 = 90, 90/10 = 9 12x9x10 = 1080

c) 1200/5 = 240, 240/ 15 = 16


16)Cindy’s aquarium stands 75 cm tall and
has a base that measures 1.2 m × 80 cm.
At one point during the initial filling, the
aquarium has a 12-cm depth of water in
it. Cindy needs to fill it to 15 cm from the
top before she adds the fish. Draw a
diagram and label the dimensions of the
aquarium. Determine how much more
water Cindy must add before she puts in
the fish.

v= l.w.h
v=75cm.80cm.12cm
v=72,000 cm3



17) contractor is excavating a rectangular
hole 10 m × 12 m × 3 m to pour the
foundation for a house. A dump truck
with a capacity of 9 m3 is used to haul
away the excavated soil. How many trips
does the truck need to make?

v= l.w.h
v=10mx12mx3m
v=360
360/9= 40

The truck made 40 trips

Colleen's Volume Scribe

Textbook. Page: 258-259 #4,5,6.

4) Determine the volume of each triangular prism.

































5) What is the volume of each rectangular prism?























6)Determine the volume of each cube.





























Cylinder Volume and Volume Problems











area of base x height

r= d/2r
r= 45/2=22.5
r=22.5cm

a= pi.r^2
a= 3.14 x 22.5 x 22.5
a= 1589.625cm^2

v= 1589.625cm^2 x 90cm
v= 143066.25







One crate will be enough. the volume of the crate is 63m^3 and the volume of the boxes is 50m^3

Math Textbook Pg 250-253 #2,5,8,10

Jennily's Volume Post # 2,5,8,10

No it doesn't matter.
For example look at these two rectangular prism.

V= area of base x height
V= 50cm x 15cm
V= 750cm

V= area of base x height
V= 75cm x 10cm
V=750cm
You see they are both the same.

LxWxH
4cm x 3cm = 12cm
12cm² x 5cm = 60cm³

LxWxH
5cm x 3cm = 15cm
15cm² x 4 = 60cm³

LxWxH
20cm x 6cm = 120cm
120cm² x 8cm = 960cm

LxWxH
8cm x 6cm = 48cm
48cm² x 20 = 960cm³

So, mainly 1cm cube would look like this:
So if you were to make a base of fifteen cm cube it would look something like this:










The top of this layer should be 15cm² so we would use that as our base.














Since the prism is made up of 5 layers of the 15 cm cubes then i will be using that as my height.
V= area of base x height
V= 15cm² x 5cm
V=75cm³

Even if the wording is different it's basically just asking for the volume.

V= area of base x height
V= 1250cm² x 100cm
V= 125 000cm³

Cylinder Volume and Volume Problems
7.3














A)
V= π x r x r x h
V= (3.14 x 5 x 5) x 23
78.5cm ^2 x 23
V= 1805.5cm^3

B)
V= π x r x r x h
V= (3.14 x 14 x 14) x 12
615.44cm^2 x 12
V= 7385.28cm^3

C)
V= π x r x r x h
V= (3.14 x 0.5 x 0.5) x 1.5
0.785m^2 x 1.5
V= 1.1775m^3

7.4











A) Yes, He has enough small prism. If he uses 4 for the base and 4 for the height he will have enough.
B)
b x h / 2 x h
5.6 x 6.8 / 2 = 19.04m ^2
19.04m^2 x 1.18 = 22.4672m^ 3

Wednesday, February 16, 2011

Angelique's Homework Book Volume Scribe

From the homework book, I did questions 4, 6, and 8 on pages 80-81



For number 6, I solved the problems two different ways.





Here is a link that you might want to look at for some help on volume.
Here is a video that helps you learn more about volume.





What is the formula to finding the volume of a rectangular prism?
Create your own poll at Flisti.com


Cylinder Volume and Volume Problems







Summer's Volume Scribe

Mr. Chin bought a box of small building blocks for his four children.
He will give an equal number to each of them. What volume of blocks
will each child get?
V = L x W x H
V = 40 x 20 x 24 = 19200 cm
V = 19200 / 4 = 4800 cm
V = 4800 cm

Each child will get 4800 cm of the brick of building blocks.

How many ways of finding the volume are there?
Cylinder volume and volume problems














Answer:
first we have to find the radius

d / 2 = r
0.26 / 2 = 0.13
r= 0.13

now we can find the volume

V= (pi x r x r) x h =
V= (3.14 x 0.13 x 0.13) x 2.4 =
V= 0.053066 x 2.4
V= 0.1273584




















Answer:
a) V= (pi x r x r) x h =
V= (3.14 x 25 x 25) x 95=
V= 1.962.5 x 95=
V= 186.437.5

b) 5 x 24 = 120
186.437.5 x 120 =
223.725

c) the garbage can should be filled 1* 1/2 cans should be filled every day