Ghelo's Surface Area Post and Volume

Triangular Prism : Base x Height divided by 2 x Height

3 x 5/2 =

15/2=

7.5m²

7.5 x 8.5 = 63.75m³

Rectangular Prism: Length x Width x Height

20 x 8 = 160cm²

160 x 16 = 2560cm³

Triangular Prism : Base x Height divided by 2 x Height

4x8/2=

32/2=

16cm²

16 x 6.5 = 104cm³

To find 3/8 you can do two ways

1.3/8 = 0.375 0.375 x 104 = 39cm³

2. 104/ 8 = 13 cm 13 x 3= 39cm³

Cylinder: Area of Base x Height

r= d/2

r= 12/2

r=6cm

v= π x r x h

v= 3.14 x 6² x 15

v= 3.14 x 36 x 15

v= 1695.6cm³

Here is a link to help you with surface are and volume !!! Hope this helps !!

Here is a video to help you understand more about surface area and volume !

Kassey's surface Area and Volume post

Rectangular Prism


  l x w

 T =
   2( 5x10)
      2(50)
     100m²
                                         

 S =
2( 5x6)
   2( 30)
   60m²
                                       

F =
 2(6x10)
   2( 60)
   120m²
                                       
TSA =  100m² + 60m² + 120m² 
        =  280m²
                                       
                                       
Triangular Prism
l x w


5 x 10 = 50cm²






5 x 9 = 45cm²






5 x 8 = 40cm²












                     b x h

  ²


= 8 x 9
  2

= 72
    2
  = 36cm²

TSA =  45cm² + 40cm² + 50cm²
        = 207cm<sup>2






Cylinder</sup>

             
 
  r =  _d_
           2


  r = __8__
            2
  r =  4mm²

         
                 










                       





   



Volume:                              Triangular prism

 b x h   .  h
    2
3 x 5   . 6.5
   2
   15   .  6.5
    2
   7.5   .   8.5
= 63.75m³

Rectangular prism

  l . w . h
20 . 8 . 16

=  2560cm³









Triangular prism with fraction


  3 = 0.375
 8


b x h  . h
   2  
4 x 8  . 6.5
   2
  32    . 6.5
   2
  16   .  6.5
=  104 cm3
104 x 0.375 
= 39cm³
 


Cylinder

Danicka's Textbook Answers #s 5,8,17

14)Estimate each value,to one decimal place.Check your answer with a calculator.

Estimate: a) 3.6 b)9.3 c)11.6

calculate: a) 3.7 b)9.2 c)11.6

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

17)Carmel wants to mount an 18cm x 18 cm square picture on a square board that is four times the area of the picture.

a) What is the area of the picture? 18x18=324 cm2
b) What is the area of the board? 324x4=1,296cm 2

c)What are the dimension of the board? √296 =136

Here's a link :http://www.homeschoolmath.net/teaching/square-root-algorithm.php

1.Pythagorean relationship means that the two legs(a^2+b^2) equals c^2 or the hypotenuse

3)I messed up on this one.
here's a link:http://www.mathsisfun.com/square-root.html

Joshua Rego's Pythagoras Scribe

1. The relationship between a2+b2=c2 is that a+b=c (leg+leg=hypotnuse.)


2. The way I figured out the hypotenuse was by using the 2 legs (12cm and 5cm) to find the hypotenuse.
a2+b2=c2
12squared+5squared=c2
(12x12)(5x5)=c2
 144+25=c
c=169
Square root of c =Square root of 169
c2=13

3. The side lengths are 6,8 and 11cm. the way to find out if this triangle is a right triangle is to add up the two legs and see if they equal the hypotenuse.
6+8=14
This is not a right triangle.

Aaron's textbook questions

a) The area of the picture is 324cm squared, because 18cm x 18 = 324'

b) The area of the board is 1296 cm squared, 324x4 = 1296

c) The dimensions of the board is 36 cm by 36 cm, because the square root of 1296 is 36.

The order of the numbers is √27, 5.8, 6.3,√46 , 7. 27 is first because √27= 5.1 which is smaller than 5.8. 5.8 is second because 6.3 is higher than 5.8. 6.3 is third because √46= 6.7 which is higher than 6.3. √46 is fourth because its higher than 6.3, √46= 6.7. 7 is last because all the other numbers are lower than it and no other number is higher than it.

a) the maximum area of the hot tub is 27m squared because 25% of 36 is 9 and 9x3 = 27 which is 75%.

b) the fitness center should order 5.1m by 5.1m because √27 = 5.1 , and they cant go over 75% of their space.

Here is a video to help you

www.youtube.com/watch?v=NNHlnh7AURM

Serena's Square Roots Scribepost

# 5, 10, 15 (textbook)

Here is a link on square roots:

1. Explain the pythagorean relationship.

-The relationship between the lengths of the sides of a right triangle

-The sum of the areas of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotensue

2. Find the missing side length

3. Is this a right triangle?

Joshua Rego's Scribe Homework Book pg28,29 #3,5,6,7

3. List the perfect squares immediatley before and after the whole number

a)Whole Number:5

PS before:4
PS after:9

b)WN:18

PS before:16
PS after:25

c) WN:78

PS before:64
PS after:81

d) WN:95

PS before:81
PS after: 100

5.a) The square root of 17 is 4.1. The 4=the number  of 16's square root. The .1= the 1st number after 16

b)The square root of 85 is 9.2. The 9=number of 81's square root. the .2=the estimate of the space between 81 and 100

6.a) WN:27

PS before: 25
PS after: 36
Approx. square root: 5.2

b)WN: 55

PS before: 49
PS after:64
Approx. square root:6.4

c)WN:105

PS before:100
PS after:121
Approx. square root:9.3

d)WN:140

PS before:121
PS after:144
Approx. square root:10.8

7.45cm2. it means the side length should be 45.

Percent jordan spence

1) what i 10%of 100
10
how to get it:
10 100
10 then divide 100 by 10 to get 10
~2) What is the colored amount in percent?
41% of 100
3) what is 20% of 70
10% is 7
10%is 7
________
20%of 70= 14%