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

Demvry's Textbook Homework

Pages 258-261
Questions 18 and 19

Question:
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?

Answer:
a)I say this is not possible because I think there is no whole number that could be cubed to be able to equal 18.
b)She would probably need to use 27 cubes to make the largest cube possible (3x3x3).


Question:
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.

Answer:
The volume of the one shaped as a cube is 343cm2.
The volume of the one shaped as a rectangular prism is 360cm2.
The volume of the one shaped as a triangular prism is 367.5cm3.

According to the volumes, the triangular prism would've the most water for Harvey the guppy to swim in.

Here are some videos!
Volume of a cube!


Volume of a rectangular prism!


Volume of a triangular prism!


Here is a link to help you understand it better!
http://www.math.com/tables/geometry/volumes.htm

Inform me if I made a mistake or tell me what I could improve on. Thanks.
Ps - If the letters are over or undersized, ignore it and I'll try to find a way to fix it. If I can't, I'm sorry.

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