Integrated Science discussion

Room #	Room Type	Length - L: [ft]	Width - W: [ft]	Height -H: [ft]	Area [A] = L x W ft2	Volume [V] = L x W x H [ft3]	Surface Area [ft2]	Area/Vol [ft2/ft3= ft-1]	Area/Surface Area [ft2/ft2] = No Unit	Volume/Surface Area [ft3/ft2 = ft]
1	Cubic	2	2	2	4	8	24	0.500	0.167	0.333
2	Cubic	5	5	5	25	125	150	0.200	0.167	0.200
3	Cubic	10	10	10	100	1000	600	0.100	0.167	0.167
4	Rectangular	25	15	35	375	13125	3550	0.029	0.106	3.697
5	Rectangular	30
6	Rectangular	35

ISLO-5: QUNTITATIVE LITERACY - SPRING 2021 - ISCI 1101 [Section 02] Assigned Feb 05, 2021; DUE: Feb 10, 2021

Objective: Understanding Measurement system- Collection and Extraction of Additional Information & Generalization

Section A:

1. Referent:

2. Unit:

2.

3.

Section B:

Extracting Additional Information from Basic Measurements related to Cubic and Rectangular Type of Objects and Make Generalization on the basis of if the Length [ONLY] increases what would happen to listed items.

Show the Steps how you calculated the following since the Columns in Table are narrow and enter ONLY final [3 Decimal rounded] answers in Table.

1. Area

2. Volume

3. Surface Area

4. Other ratios in last 3 columns with appropriate units.

a. Area/Volume

b. Area/ Surface Area

c. Volume / Surface Area

CUBIC RECTANGULAR

1. Area =(L x W) = (10 ft x 10 ft) = 100 ft2 Area = (L x W) = (25ft x 15 ft) = 375 ft2

2. Volume = (L x W x H) = (10ft x 10ft x 10ft) = 1000 ft3 Volume = (L x W x H) = (25ft x 15ft x 35ft) = 13,125 ft3

3. Surface Area = 6 [(L x W)] = 6[(10ft x 10ft)] = 600 ft2 Surface Area = 2[(LxW) + (LxH) + (WxH)] = 2[(25ftx15ft) + (25ftx35ft) +(15ftx35ft)]

= 2[(375ft2) + (875ft2) + (525ft2)]

= 2[(1775ft2)]

= 3550 ft2

4. Area/ Volume =[ 100ft2] / 1000ft3) = 0.100 ft-1 = [375 ft2/13125 ft3] = 0.02857 ft-1 = 0.029 ft-1

5. Area / Surface Area = [100 ft2 / 600 ft2] = 0.1666 = [375ft2 / 3550 ft2] = 0.1056

= 0.167 = 0.106

6. Volume / Surface Area = [1000 ft3 /600 ft2] = [13125 ft3 / 3550 ft2]

= 1.6666 ft = 3.6971 ft

= 1.667 ft =3.697 ft

Section C:

Cubic: [If the length is going to increase what would happen to the items below based on your own data and per your own calculation]

1. Area increases

2. Volume

3. Surface

4. Area/Volume decreases

5. Area/Surface Area constant

6. Volume/Surface Area increased and then decreased

Rectangular: [If the length is going to increase what would happen to the items below based on your own data and per your own calculation]

1. Area

2. Volume

3. Surface

4. Area/Volume

5. Area/Surface Area

6. Volume/Surface Area

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