Breanna's Volume Post

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

Cylinder Problems and Volume Problems

This is a Cylinder problem.

Pi.r.r.h
πx5x5=79cm^3
79x23=V
1,817=V

This is my triangular prism.

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

Textbook Volume Post

Pg.261
questions:18,19

18)Suki has 30 small linking cubes.

a)She wants to use 18 of them to make a large cube,Is this possible?
Why or not?

b)what number of linking cubes would she use to construct the largest cube she can possibly make?

a)There's no whole number that can be cubed to equal 18,so NO.
b)Suki would have to have 27 more cubes to make 3x3x3 cubed.

19)Melissa has three glass vases,She wants to use one as a decorative fish tank for Harvey the guppy.Which will give Harvey the most water to swim in?

The volume of the cube is 343 cm3
The volume of the rectangular prism is is 360 cm3
The volume of the triangular prism is 367.5 cm3

The guppy will have more water to swim in the triangular prism!


Cylinder and Volume Question's





I solve the problem like this
a) V=pi.r.r.h
V=(3.14x3.5x3.5)x23
V=78.5x25
V=1806.5cm^3

b)V=pi.r.r.h
V=(3.14x14x14)x12
V=61.44x12
V=7385.28cm^3

c) V=pi.r.r.h
V=(3.14x0.5x0.5)x1.5
V=12.75x1.5
V=19.125cm^3




R=D/2
D=0.8
o.8/2=R
R=0.4cm^3

V=pi.r.r.h
V=(3.14xo.4xo.4)x10
V=o.5024x10
V=5.024m^3

Chapter 2

(+2) x (+3)=+6
(+2) x (-3)= -6
(-2) x (+3)=(+6)
(-2) x (-3)=+6

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

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?

b x h

l x w x h

area of the base x height

or View Results

Create your own poll at Flisti.com


Cylinder Volume and Volume Problems

Karl's Homework Book Post

Homework Book
Even #'s, Pages 78-79.


4.a)



b)


c)


Answers

4.a)
V=area of base x height
V=100cm² x 4cm
V=400cm³

b)
V=area of base x height
V=113cm² x 3cm
V=339cm³

c)
V=area of base x height
V=80cm² x 12cm
V=960cm³



6) Which rectangular prism has the larger volume? Show your thinking.
a)


b)


Answers:
a)
V=area of base x height
V=40cm² x 5cm
V=200cm³

V=area of base x height
V=20cm² x 10cm
V=200cm³

Both of them have a volume 200cm³

b)
V=area of base x height
V=10.5m² x 1m
V=10.5m³

V=area of base x height
V=3m² x 3.5m
V=10.5m³


8)

Nikki and Taylor have to fill the pool this summer. The area of the pool bottom is 27m². The height that the water needs to be is 0.9m. How much water do they need to put in the pool?

Answers:
V=area of base x height
V=27m² x 0.9m
V=24.3m³

They need to put 24.3m³ of water in the pool.


Cylinder Problems and Volume Problems



a)V=pi.r.r.h
V=(3x2x2)x10
V=120m^3

b)V=pr.r.r.h
V=(3.14x2x2)x10.5
V=131.88m^3

d/2 = r
8 / 2 = r
4cm = r

V = pi.r.r.h
V = (3.14x4x4)x40
V= 2009.6cm^3

Jasmin's Volume Scribe Post

Show you know-
Pg. 248
Question:





My answer:












Pg. 249
Question:







My answer:









My textbook answers- Page. 250-253 (#1-18)
** I did questions 1,4 and 7

Question #1-













My answer for #1-








Question #4-






My answer for #4-












Question #7-






My answer for #7-













Here is a link on how to calculate volume.
Here is a video.


Cylinder Volume and Volume Problems


7.3














My answer-

If Martha wants to buy more popcorn for her money,
she should get the popcorn container named "Popcorn Lover's."

7.4







My answer-










An assumption I made was that 1/4 of the cheese was cut.

Here is my video on how I solved the math problems-