Michael's Surface Area Post

Rectangular Prism



T
The L is 5 and the W is 10.
10 x 5 = 50

F
The L is 6 and the W is 10.
10 x 6 = 60

S
The L is 6 and the W is 5.
5 x 6 = 30

TSA= 2 ( T + F + S )
= 2 ( 50 + 60 + 30 )
= 2 ( 140 )
= 280 m2

Triangular Prism



b x h divided by 2
8 x 9 divided by 2
72 divided by 2
= 36

l x w
5 x 27 = 135 cm2
36 cm2
+ 36 cm2
= 207 cm2

Cylinder



2 (pie r2) + (pie x d x h)
= 2 (3.14 . 4 . 4) + (3.14 x 8 x 12)
= 100.48 + 301.44
= 401.92 mm2

1.


AOB.h
divided by 2 x h

3x5
divided by 2

15
divided by 2 x h

7.5 x 8.5 = 63.75cm3

2.

AOB.h
l x w x h
20 x 8x 16 = 2,560 cm3

3.


AOB.h
bxh
divided by 2 x h

4x8
divided by 2

32
divided by 2 x h

16 x 6.5 = 104 cm3

4.


AOB.h
pie r2 .h
3.14 .6 .6 15 = 1,695.6 cm3

Michael's Pythagorean Relatiohnship

1. Answer in a short paragraph and with diagrams



Answer:
c2 is equals to a2 + b2.



a2 + b2 = c2
52 + 122 = c2
25 cm2 + 144 cm2 = c2
169 cm2
13 cm2




a2 + b2 = c2
62 + 82 = 112
36 + 64 = 121
100 = 121
NOT A RIGHT TRIANGLE

Michael's Scribe Post

1. Estimate the square root of each number, to one decimal place. Check with a calculator.

A. 72

B. 103

C. 55

2. Identify all possible whole numbers with a square root larger than 2 and smaller than 3.

2 x 2 = 4

3 x 3 = 9

Whole numbers are numbers that is between the perfect squares.

The whole numbers are 5, 6, 7, and 8.

3. What is an example of a whole number that has a square root between 9 and 10.

4. Identify a whole number with a square root between 11 and 12.

Michael's Scribe Post

1. List the perfect squares immediately before and after the whole number.

2. Identify all of the whole numbers with a square root larger than 5 and smaller than 6.

26= 5.099

27= 5.196

28= 5.291

29= 5.385

30= 5.477

31 = 5.567

32 = 5.656

33 = 5.744

34 = 5.830

35 = 5.916

3. Write the perfect square immediately before and after the whole number, and then estimate the square root of the whole number to one decimal place. Check your estimates with a calculator.

4. Chelsea's square garden has an area of 60 m squared.

A. Estimate to one decimal place the side length of the garden.

Find the side length of the garden by dividing 60 by 4, 60 divided by 4 equals 7.7.

B. She has 32 m of fencing to go around the garden. Does she have enough fencing? Explain your thingking.

Yes, It's enough to fence the garden, because the side length is 7.7, chelsea's garden is square, and square is 4 sided, you multiply it by 4 and the answer is 30.8. Chelsea has 32 m of fencing the garden and the area is 30.8, Chelsea has 1.2 remaining for fencing. 30.8 is the area of the fence of the garden.

Michael's Scribe Post

1. A herd of 100 caribou was moved to a new location. The population increased by 10% the first year and then increased by 20% the second year.

A. Find the population after the second year.

FIRST YEAR

First find the 10% of 100.

100 divided by 10= 10

the 10% of 100 is 10

then add 10 to 100.

100+10=110

SECOND YEAR

Find the 20% of 110.

110 divided by 10=11

then multiply it by 2

11 x 2= 22

the 20% of 110 is 22

then add 22 to 110

110+22= 132

The population after two years is 132 caribou.

B. Explain why there was not a 30% increase in population over two years.

The increase is not 30% because the 20% increase in the second year is based on the new population after 10% increase in the first year.

2. Chris purchased the following items:

• 2 binders at $4.99 each
• 1 math set for $3.99
• a backpack for $19.99

Find the total cost including 5% GST and 7% PST.

2 binders 4.99 x 2= 9.98

$9.99

9.99 + 3.99 + 19.99 = 33.97

$34

34 x 1.12 = 38.08

$38.99

The total cost including the 12% of taxes is $38.99

3. A store discounted items by 50% off the original price one week. The following week an additional 10% was taken off the already reduced price. The regular price of a CD player was $85.00. What is the reduced price in the second week.

CD $85.00

1st week 50% off

85 divided by 2 equals $42.50

2nd week 10% of the already reduced price

42.50 divided by 10 equals $4.25

42.50 - 4.25 = $38.25

The reduced price in the second week is $4.25

1. R C E E T N P

Percents means out of 100.

2. C R A T F I O L N A

A Fractional percent is a percent that includes a portion of 1%.

3. M C N O B D E I

Percents that are added together are combined percents.