Hanna's Volume Scribe Post

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 why not?

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


My Answers

a) It is not possble to make a large cube with only 18 linking cube because there isn't a whole number that can make 18 when cubed. To get 18, each side of the cube should have 2.6207413942088964 cubes.


b) v = s x s x s
v =1y x 1y x 1y
v = 1y³

v = s x s x s
v = 2 x 2 x 2
v = 8³

v = s x s x s
v = 3 x 3 x 3
v = 27³

v = s x s x s
v = 4 x 4 x 4
v = 64³

The largest cube Suki can make with only 30 linking cubes uses 27 cubes.


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?

Cube Tank

v = s x s x s
v = 7cm x 7cm x 7cm
v= 343cm³

Rectangular Prism Tank

v = l x w x h
v = 10cm x 9cm x 4cm
v = 360cm³

Triangular Prism Tank

v = b x h(1) / 2 x h(2)
v = 7cm x 5cm / 2 x 21cm
v = 367.5cm³

The triangular prism tank can contain the most water.

Cylinder Volume and Volume Problems


a) r = d ÷ 2
r = 2m ÷ 2
r = 1m

v = π x r² x h
v = 3.14 x 1² x 0.6

v = 1.884m³

b) h = v ÷ a of b

h = 1.256 ÷ 3.14

h = 0.4m



c) v = pi x r² x h

v = 3.14 x 1² x 0.2

v = 0.628m³





d ÷ 2

r = 120 ÷ 2
r = 60cm


a) v = pi x r² x h

v = 3.14 x 60² x 18

v = 3391.2cm³




b) v = l x w x h

v = 30 x 22 x 24

v = 15840cm³





c) 15840cm³ x 1 = 15840cm³

15840cm³ x 2 = 31680cm³

15840cm³ x 3 = 47520cm³





She would have to fill it 3 times

Ryan's Volume Scribe Post

The questions I answered were numbers 4, 6, 8 in the homework book (pg. 80-81).

4. Calculate the volume of each rectangular prism.

a) l = 15 cm, w = 12 cm, h = 3 cm

v = l x w x h

v = 15 x 12 x 3

v = 180 x 3

v = 540cm3

Jumbo
r = d/2
r = 20 / 2
r = 10cm

v = (πr²) x h
v = (3.14 x 10²) x 40
v = (3.14 x 100) x 40
v = 314 x 40
v = 12, 560cm<sup>3

Popcorn Lover's
r = d/2
r = 30/2
r = 15cm

v = (πr^2) x h
v = (3.14 x 15^2) x 20
v = (3.14 x 225) x 20
v = 706.5 x 20
v = 14, 130cm^3

Popcorn Lover's has more space.</sup>

Full Circle

r = d/2

r = 1/2

r = 0.5m

v = (πr^2) x h

v = (3.14 x 0.5^2) x 10

v = (3.14 x 0.25) x 10

v = 0.785 x 10

v = 7.9m^3

"Hole" Circle

r = d/2

r = 0.8/2

r = 0.4m

v = (πr^2) x h

v = (3.14 x 0.4^2) x 10

v = (3.14 x 0.16) x 10

v = 0.5024 x 10

v = 5.1m^3

7.9 - 5.1 = 2.8m^3

Concrete volume is 2.8m^3.

Melanie's Volume Scribe Post

For my post, I will be answering the questions 4, 5, and 6 on the textbook work we did in class today. ( pages 258 - 261 )









*Sorry if some of the pictures are hard to see, just click it and it will appear bigger.

*Here is a link that will hopefully help those of you who don't understand how to find the volume of a rectangle / square.

If you guys don't agree with my answers, have different answers or have any suggestions, just leave a comment! :)


Cylinder Volume and Volume Problems


v= π x r x r
v= 3.14 x 12cm x 12 cm
v= 452.16 cm2 x 15
v= 6782.4 cm3

6782.4 cm3 / 4= 1695.6 cm3

The volume of cheese taken from the block was 1695.6 cm3.
One assumption I made was that they cut 1/4 from the cheese.



r= d/2
r= 0.8m/2
r= 0.4 m

v= π x r x r
v= 3.14 x 4cm x 4cm
v= 0.5024 cm2 x 10cm
v= 5.024 m3

r= d/2
r= 1m/2
r= 0.5m

v= π x r x r
v= 3.14 x 0.5m x 0.5m
v= 0.785 m2 x 10m
v= 7.85 m3

7.85 m3 - 5.024 m3 = 2.826 m3

The volume of concrete required to make the culvert is 2.826 m3.

Here is my volume video:

Olivia's Volume Scribe Post

Page 258 - 261

These are my answers:














These are my answers and how I got them:




















This is my answer:






Here is a link to find the the volume of a prism.

Here is a video for finding the volume of a prism:









*I think I got 12. completely wrong, I wasn't sure how to find the answer. I'd be very happy if someone could help me out and leave a comment explaining how to answer it.



Cylinder Volume and Volume Problems

7.3 Page 265 - 267

This is my solution:

7.4 Page 273 - 275

This is my solution:

Kristel's Volume Scribe Post

3. Determine the volume of each right prism or cylinder.

a) v= area of base x height
15 cm2 x 4 cm
60 cm3

b) v= area of base x height
18 cm2 x 12 cm
216 cm3

c) v= area of base x height
96 cm2 x 20 cm
1920 cm3


9. How many ways can you build a rectangular prism from 16 centimeter cubes? Use diagrams or centimeter cubes to show your designs.

You can build 4 designs:

1 - L = 16 cm, W = 1 cm, H = 1 cm

2 - L = 4 cm, W = 2 cm, H = 2 cm

3 - L = 8 cm, W = 1 cm, H = 2 cm

4 - L = 4 cm, W = 1 cm, H = 4 cm


11. José is having vegetable soup. The area of the base of the soup can is 10.4 cm2, and the height is 10 cm. When José opens the can, he sees that the soup comes up to a height of only 9 cm. What volume of soup is in the can?

v = Area of base x height
10. 4 cm2 x 9 cm
93.60 cm3


15. The International Space Station is shaped like a cylinder that has a cross-sectional area of 615 m2 and a length of 44.5 m. The living space for the astronauts is 425 m3. What percent of the volume of the space station is used for living?

I had trouble figuring out things question. Please leave a comment and help explain to me how to figure it out!


Cylinder volume and volume problems


12) 7.3- Page 266


















Jumbo

d/2 = r

20/2 = r
10 cm = r

v = π x r x r x h
v = (3.14 x 10 x 10) x 40
v = 12560 cm^

Popcorn Lovers
d/2 = r
30/2 = r
15 cm = r

v = π x r x r x h
v = (3.14 x 15 x 15) x 20
v = 14130 cm^

Martha should buy Popcorn Lovers because the volume is larger than the Jumbo

5) 7.4- Page 273
















d/2 = r
1/2 = r
0.5 m = r

v = π x r x r x h
v = (3.14 x 0.5 x 0.5) x 10
v = 7.850 m^



d/2 = r
0.8/2 = r
0.4 m = r

v = π x r x r x h
v = (3.14 x 0.4 x 0.4) x 10
v = 5.024 m^

7.850 - 5.024 = 2.286 m^



You will need 2.286m^ of concrete

Jocelle's Scribe Post

Show you know: a) What is the volume of the right rectangular prism?

Answer: LxWxH

8.5 cm x 4cm = 34 cm²

34 cm² x 5 cm = 170 cm³

b) What is the volume of a cube with edge length 3 meters?

Answer: Length x Width x Height

3 cm x 3 cm = 9 cm²

9 cm² x 3 cm = 27 cm ³

What is the volume of the right triangular prism?

Answer: base x height ÷ 2 x height

5 x 9 ÷ 2 = 22.5 mm²

22.5 mm² x 8 mm = 180 mm³

My Cylinder Volume and Volume Problem

r = d/2
r = 20/2
r = 10 cm²

v = π x r x r x h
( 3.14 x 10 x 10 ) x 40
314 x 40
1,2560 cm³

r = d/2
r = 30/2
r = 15 cm²

v = π x r x r x h
( 3.14 x 15 x 15 ) x 40
14, 130 cm³

Roemer's ScribePost

Homework was pages 78-79 on the homework book:
I do odds..

1.
a) Volume of a right cylinder or right prism is found by multiplying the area of the base and the height.

b) If you change the orientation, it does not affect the volume.
3. a) 9cm x 84cm² = 758cm3 b) 3m x 54cm² = 162cm3

5. What is the volume of a right prism that has a base with an area of 15cm² and a height of 7 cm?
15cm²
x 7cm
------------
105cm3

7.
a) volume = 63 cm3 area of base = 9 cm²




b) volume = 26m3 area of base = 4 m²





9. I kinda don't get this question.. need some help!

Karen's Volume Scribepost

SKY 248. What is the volume of the right cylinder?

My answer:

SYK 249. Which box has the greater volume? Explain your reasoning.

My answer:

Pages 250-253 #'s 1, 4 and 7
1. Evan calculated the volume of a right cylinder. Charlotte calculated the volume of a right rectangular prism. Did either of them make an error in their solutions? Explain how you know.

My answer:

4. What is the volume of each right prism?

a) area of base = 12cm², height = 8cm3

b) area of base = 18cm², height = 4cm3

c) height = 9cm3, area of base = 14cm²

My answer:

7. What is the height of each of the following right rectangular prisms?

a) volume = 32cm3, area of base = 8cm²
b) volume = 35cm3, area of base = 5cm²

c) area of base = 8cm², volume = 36cm3

My answer:

Here is a video showing how to find the volume of a cylinder.
Here is a video showing how to find the volume of a rectangular prism.

*Sorry it's so messy, I can't fix it and I

'm too lazy to do it all over again.


Cylinder Volume and Volume Problems

Jumbo Popcorn:
r = d/2
r = 20/2
r = 10cm^2
areaofthebase x height
v= π*r*r*h
v= (3.14 x 10 x 10) x 40

v= 12 560cm^3

Popcorn Lover's:
r = d/2
r = 30/2
r = 15cm^2
areaofthebase x height
v = π*r*r*h

v = (3.14 x 15 x 15) x 20
v = 14 130cm^3
Martha should get the "Popcorn Lover's" if she wants more popcorn because the container is bigger by 1 570.

r=d/2

r=1/2

r=0.5m^2

areaofthebase x height

v=π*r*r*h

v=(3.14*0.5*0.5)*10

v=7.85m^3

r=d/2

r=0.8/2

r=0.4m^2

areaofthebase x height

v=π*r*r*h

v=(3.14*0.4*0.4)*10

v=5.024m^3

7.85m^3*5.024m^3 = 2.862m^3

The volume required to make a concrete culvert is 2.862^3.

Glenn's Scribe Post Volume

Homework;

Pages 78-79 in the Home Work Book

2.

4.a)400 cm3

b)339 cm3

c)960 cm3

6.a) Both of the rectangular prism has the volume of 200 cm3

b) Both of the rectangular prism has the volume of 10.5 m3

Sorry for not having a lot pictures on my blog because it was really hard to make 3D objects on paint.

Chapter 7 Section 7.3 Pages 246 to 253

d/2=r 20/2=10

(2πrr)+(2rπh)
(2x3.14x10x10)+(2x10x3.14x40)
628+2512
3140 cm^


Chapter 7 Section 7.4 Pages 268 to 275

v= BxH1xH2/2
v= 5.6x5x20/2

v= 280 cm^
then ..
v= 280x64

v= 17,920 cm^

Tyler's Volume Post

Volume

Linear measurement is measuring a line with a ruler.

There are different units of measurement and some examples are centimeters, milimeters, and meters.

Area measurement is measuring an area with square units.

Volume measurement is measuring an area in cubic units.

If your measuring volume and it is a liquid, remember that 1cm3=1ml

The definition of volume- The amount of space an object occupies.

The formula for finding volume is area of base x height

The base is any face that shows the named face of the prism.

The height is the perpendicular distance between the two bases of a prism or cylinder.

Rectangular Prism

Area of base x height

l x w =a

5 x 6
30cm2=a

30cm2 x 10cm = a

V= 300cm3

Triangular Prism

Area of base x height

b x h x h

-----------

2

6 x 10

-------- =30cm2

2

30cm2 x 5cm= 150cm3

Cylinder

r= d\2 area of base x height

r=10\2 pi•r2= a

r=5cm 3.14•25=a

78.5cm2=a

78.5cm2•10cm=785cm3

Here is a link that will help you!

A rectangular prism has a length of 12cm, a width of 10cm, and a height of 15cm. What is the volume?

1800cm3

1550cm3

1800cm2

1900cm

or View Results

Create your own poll at Flisti.com