Ch 1 Practice

Volume

100

Define Volume

- How much space a substance takes up

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)

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)

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

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)

Conversions

100

Convert 6,547mm to meters.

(1000mm per meter, move decimal three digits left) 6.547m

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

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

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

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

Sig Figs

100

Define Significant Figures

Calculating with the same precision as your measurements. (Rounding with more rules)

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

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

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 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