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Volume
Conversions
Sig Figs
100
Define Volume
- How much space a substance takes up
100
Convert 6,547mm to meters.
(1000mm per meter, move decimal three digits left) 6.547m
100
Define Significant Figures
Calculating with the same precision as your measurements. (Rounding with more rules)
200
A rectangular block measures 2cm by 3cm by 0.5cm. What is this block's volume?
2 x 3 x 0.5 = 3cm^3 (3 cubic centimeters)
200
You find a can of SPAM weighting in at 0.75 pounds. How many grams is that?
0.75lbs x 16 (oz per pound) x 28.35 (g per oz) = 340.2 g
200
How many sig figs are in "785g"? Why?
3; all the figures (digits) are non-zero, and all non-zero digits are significant (rule #1)
300
A solid cylinder has a radius of 5mm and a length of 20mm. What is it's volume? (round to the nearest tenth)
1570.8mm^3 (using pi) 1570 mm ^3 (using 3.14)
300
You counted one sheep every second for 2 hours before you fell asleep. How many sheep did you count?
2 x 60 (min per hr) x 60 (seconds per minute) = 7,200 seconds = 7,200 sheep counted
300
Determine the number of sig figs in "0.10cm". Which ones are significant?
2; The "1" is non-zero (rule one), the first "0" is not (before decimal of measurement less than one - rule #5), the second "0" is (zero after decimal and all non-zero digits - rule #3)
400
A perfect cube has a side measuring 5cm in length. What is the volume of this cube?
(Cube = all sides are the same) 5 x 5 x 5 = 125cm^3
400
A friend finally convinced you to run a 10km race with them. How many miles is that race? (to the nearest tenth)
10 x 1000 (meter per km) x 100 (cm per m) / 2.54 (cm per in) / 12 (in per ft) / 3 (ft per yd) / 1,760 (yd per mile) = 6.2 miles
400
Determine the significant figures in "0.902m". Which ones are significant?
3; "9" and "2" are non-zero, first "0" is not (rule #5), second "0" is (between non-zero digits - rule #2)
500
You find a wooden box that is open on one side and you see that it contains a solid cylinder. The circle faces of the cylinder fit perfectly up against opposite faces of the box measuring 12.5cm by 10cm. The length of the box measures 15cm. What is the cylinder's volume? (to the nearest tenth)
(Diameter equal to the smaller side of the faces; 10cm) Radius = 5cm, Length equals = 15cm 1178.1 cm^3 (using pi) 1177.5 cm^3 (using 3.14)
500
A tiger beetle can run up to 5.6 miles per hour. But to put that in a bugs perspective, convert that speed to ft/second. (to the nearest tenth)
5.6 x 1,760 (yd per mile) x 3(ft per yd) / 60 (min per hr) / 60 (s per min) = 8.2 ft/s
500
You want to buy a marble pillar (solid-block) to match one in your yard measuring 2.6m long by 3.3m wide by around 5m tall. Since marble is sold by cubic meters, you should estimate how much your going to spend by first getting its volume. Calculate the volume of your pillar using significant figures.
2.6 x 3.3 x 5 = 42.9 m^3 2.6 (2 sig figs) 3.3 (2 sig figs) 5 (1 sig fig) Make the volume into one sig fig 40 m^3