area, volume, mass weight .. conversion
INTRODUCTION - fill the blank for full credit. USE tHE WORD BANK ( (you can also use a meter stick/ruler/internet)
bank: 0.1, 1000, Earth, 100, 0.01, 10, force, 0.001, 9.8
1 m = _____cm , 1kg = _______g, 1cm = ______mm, 1m = ________mm,
1cm = _____m , 1g = ________kg, 1mm = ______cm, 1mm = ________m
weight (N) = mass (kg) x _____ N is for the unit newton. It is the unit for pull or push, that is the unit for ________.
The weight is the downward ________ exerted by ________ on objects.
PROCEDURE
Remember: Volume ( cm3) = Length (cm) xWidth (cm) x Height (cm) (for a cube or any box)
activity1: work with the blocks. You need the green spring scale and a ruler in cm (yellow one) . Make sure you use the right unit. Fill the table.
use a string to hang the block on the spring scale.
| length in cm | width in cm | height in cm | volume in cm3 width x length x height | mass in grams (g) use the right side of scale | weight in newtons (N) use the right side of scale | |
| block1 | ||||||
| block2 |
The mass of a block is about _________ grams but the weight is about ________newtons.
to go from grams to newtons, you divide by a factor of about ____________.
Remember: The weight is a pull . It is the force that the _________ exerts on an object.
activity2: Work now with 1 Physics book. and 1 kg weigh.
You will need a kitchen plate scale in grams and kilograms and a circular spring scale in newtons
use kitchen scale mass in kg use scale in kg | use kitchen scale mass in grams use scale in grams | use circular spring scale in newtons weight in Newton (N) use a plastic bag to hang the book | |
| 1kg mass | _______ | ____________________ | _______ |
| book | _______ | _____________________ | _______ |
according to your data:
On EArth, to convert the mass in kilograms (kg) to weight in newtons(N) , you multiply by a factor of about _________________
so weight(N) = mass (kg ) x ________ (or acceleration due to gravity)
To go from grams (g) to kilograms (kg), you divide by ____________
weight is a ________. the force exerted by the __________ on objects.
to go from mass (kg) to newtons(N), you multiply by ________. REMEMBER THAT.
activity4: You need 1$ bill, ruler, plate scale used in chemistry. Note that the ruler has both cm and mm.
| mass (grams) | width (cm) | length (cm) | width (mm) | length (mm) | area (cm2) width(cm) x length (cm) | area (mm2) width (mm) x length (mm) |
to go from cm to mm , you multiply by ___________
but to go from cm2 to mm2, you multiply by ________________
activity 6: Using a meter stick and masking tape.
Find the width of the Physics lab door in meters (1 meter stick = 1meter about 1 yeard). you should have 2 decimals for cm and mm.
W = _____ m . Find the width in centimeters W = _________cm
Find the length of the Physics lab door in meters (2 decimals)
L = ______m . Find the length in centimeters. L = ______cm
Find the area of the door in m2. Area A (m2 ) = L (m) x W (m) = _________ m2
Find the area in cm2 Area A(cm2) = L(cm) x W (cm) == ___________cm2
According to your data:
To go from m to cm, you multiply by _________ but to go from m2 to cm2, you multiply by ______________.
That's because if 1m = 100cm then 1 m2 = 1m x 1m = 100cm x 100cm = ______cm2
activity7: Use the bathroom scale to find your mass in kilograms and your weight in pounds.
mass = ______ kg weight = ____________ pounds
to go from kg to pounds, you multiply by about __________________.
my weight in newtons is ________________ N (multiply mass in kg by 10)
Remember: weight is a force and depends on the planet or moon you area on.
the mass stays the same, no matter the moon or planet, it depends on the amount of stuff that makes you (bones, fluid, flesh ..)
newtons is the unit for __________, kg is the unit for ___________, pounds is another unit for ___________ but we don't use it
in Physics. We use the International System of units. (that is weight is measured in ____________ not in _____________)
The weight is a _________. The ___________ of gravity.
activity 8 : you need meter stick + table
Measure the volume of air under your table :
width of table in meters (use a meter stick) with 2 decimals = ____________m. width in centimeters (use meter stick) = ____________cm
length of the table in meters (use a meter stick) = _______m. Length in centimeters = ____________cm
height from ground in meters _____________. Height in centimeters = ________________cm
volume under the table in m3 = _____________m3. Volume in cm3 = __________ cm3. (volume = width x length x height)
To go from m to cm you multiply by ___________, but to go from m2 to cm2 you multiply by ___________,(see above)
and to go from m3 to cm3 you multiply by ___________ (hint: 1 m = 100cm but 1m3 = 1m x 1m x1m = 100cm x 100cm x 100x = ____________cm3.
GOING FURTHER: geometry (try without hint)
I NEED THE RIGHT UNITS. AREA are in squared legnth (like mm2 or cm2 or m2 or km2 ..)
VOLUME are in cubed length (like mm3 or cm3 or m3 or km3)
I can't give you full credits other wise.
1) One of the largest pizzas made (in Glens FAlls, NY) had a R= 40 ft radius. WHat is the area of this crater (in ft)?
(hint: area = pi R2) .
2) Summer storm is circular in shape with a 50 mile long diameter. WHat area does this storm cover ? (in mi2)
(hint: first find R the radius = D/2)
3) One of the largest omelets made was cooked at Conestoga College, in Ontario, Canada. It measured 30ft by 10ft. WHat was the area of this rectangular omelet?
(hint: area = width x length)
4) THe volume of a rectangular prism (a box) is computed by multiplying width x length x height
If an average rectangular block of limestone used to to build the great pyramid of Khufu at Giza is approximately
2.5 feet by 3 feet by 4 feet land limestone weights approximately 170 pounds per cubic foot, what is the weight of the nearly 2,300,000 limestone blocks used to build the pyramid ?
hint: follow the steps:
A) Find the volume V of one block in ft3
B) Find the weight of 1 block (multiply V by 170)
C) Find the weight for 2,300,000 blocks (multiply)
5) Although the Exxon Valdez oil spill (11 million gallons of oil) is one of the most notorious oil spills, it was small compared to the 250 million gallons of crude oil that were spilled during the 1991 Persian Gulf War. A gallon occupies 0.13368 cubic foot. How many rectangular pools, each 20 feet by 30 feet by 5 feet, could be filled with 250 millions gallons of crude oil ?
hint: follow the steps:
A) Find the volume V occupied by the 250 millions gallons. (multiply by 0.13368)
B) Find the volume v of a pool (in ft3)
C) find out many v can fit into V (divide V by v)
6) The glasshouse spider mite lays spherical eggs that are translucent and about 0.1 mm in diameter.
Find the surface area of an egg.
(hint surface area = 4 pi R2)
7)Fossilized embryos of dinosaurs called Titanosauris suropods have recently been found in spherical eggs in Patagonia. The eggs were 15 cm in diameter, and the adult dinosaur were more than 12 m in length. Find the volume of an egg. (hint: volume sphere = 4/3 (pi R3)
8) The lateral surface area of a cone = pi R s. s is the slant height and R the radius of the base.
An ant lion pit is an inverted cone with the dimensions h = 2 cm and R = 2.5cm
A) Let's find s, the slant height.
You can use pythagorian theorem.
s = square root ( h2 + R2) = _______
B) What is the lateral area of the pit.
Use the formula above. (pi R s)
9)
2) Air has about 4000 bacteria per cubic meter. There are about 120,000 bacteria in a room that is 3m long by 4m wide.
What is the height of the room ?
hint: volume of a prism = H x W x L
10) The cylindrical Giant Ocean Tank at the New England Aquarium in Boston has a volume of 200,000 gallons.
A) One gallon of water equals 231 cubic inches. How many cubic inches of water are in the Giant Ocean Tank?
B)Use your answer from A as the volume. The tank is 24 ft deep (H=24) . Find the radius R in feet of the Giant Ocean Tank.
hint: convert foot to inch. volume of cylinder = pi R2 h
11) If both the length and the width of a rectangle are doubled, how many times larger is the area of the resulting rectangle ?
(hint: you can make up a length and a width, find the area. Then the new rectangle has double the width and double the length.
See what happens to the area)